Browse Geometry problems Studdy Solved!

Problem 2901

Which estimate best describes the area of this figure? $10 \mathrm{in}^{2}$ $15 \mathrm{in}^{2}$ $20 \mathrm{in}^{2}$ 35 in $^{2}$

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Problem 2902

What is the area of rhombus $A B C D$ ?
Enter your answer in the box. Do not round at any steps. $\square$ units ${ }^{2}$

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Problem 2903

What is the area of a parallelogram whose vertices are $A(-1,12), B(13,12), C(2,-5)$ , and $D(-12,-5)$ ?
Enter your answer in the box. $\square$ units $^{2}$

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Problem 2904

The straight line $2 x+y=14$ intersects the curve $2 x^{2}-y^{2}=2 x y-6$ at the points $A$ and $B$ . Show that the length of $A B$ is $24 \sqrt{5}$ units.

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Problem 2905

XII. Харьцаа, пропори
19. Гурвалжны дотоод онцгҮүд $3: 5: 4$ харьцаатай бол тус бүрийн хәмжәэг ол

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Problem 2906

```latex \text{صورة النقطة } (3, -2) \text{ بالانسحاب 4 وحدات لليسار و 3 وحدات للأعلى هي النقطة:} ```

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Problem 2907

A rectangle is constructed with sides of length $8.4 \times 10^{3} \mathrm{~cm}$ and $5.5 \times 10^{4} \mathrm{~cm}$ . (a) Write down the area of the rectangle in the form $a \times 10^{k}$ , where $1 \leq a<10$ and $k \in \mathbb{Z}$ .
Karen's estimate of the area of the rectangle is $450000000 \mathrm{~cm}^{2}$ . (b) Find the percentage error in Karen's estimate.

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Problem 2908

9. Considere o sólido que está no primeiro octante, limitado (acima) pela esfera $x^{2}+y^{2}+z^{2}=9$ , lateralmente pelo cone $z=\sqrt{\left.\beta x^{2}+y^{2}\right)}$ . Em cada item, determine as integrais que permitem calcular o volume desse sólido. a) Em coordenadas cilindricas. b) Em coordenadas esféricas.

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Problem 2909

100 pizz B. 10m C 100 45° A abaily

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Problem 2910

surface area of a sphere $=4 \pi r^{2}$ , where $r$ is the radius. The sphere below has a radius of 6 cm . Work out the surface area of the sphere. Give your answer in terms of $\pi$ and remember to give the correct units.

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Problem 2911

OAB is a sector of a circle as shown below.
Work out the length of the arc AB . Give your answer to 1 d.p.

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Problem 2912

In Exercises $9-12$ , find $d y / d x$ and find the slope of the curve at the indicated point.
9. $x^{2}+y^{2}=13, \quad(-2,3)$
10. $x^{2}+y^{2}=9, \quad(0,3)$
11. $(x-1)^{2}+(y-1)^{2}=13, \quad(3,4)$
12. $(x+2)^{2}+(y+3)^{2}=25,(1,-7)$

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Problem 2913

$\text{Given a trapezoid } QRST \text{ where } M \text{ and } P \text{ are the midpoints of the legs, and } PM = 2x, \, QR = 3x, \, TS = 10, \text{ find } PM.$

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Problem 2914

MASTER 2.5 Surface area of cin
1 The diagram shows the net of a cube. cuboids The surface area of a 3 D shape is the total area of all its faces. You can draw a net to help you is the total area of all
Work out a the area of one face of the cube $10 \times 10=$ $\qquad$ $10 \mathrm{~cm}^{2}$ b the surface area of the cube $6 \times$ $\qquad$ $=$ $\qquad$ $\mathrm{cm}^{2}$
2 The diagram shows a cube of side length 5 cm . Find the surface area of the cube.
3 Calculate the surface area of each cuboid. a Surface area $200 \quad 100$ $=2(20 \times 10)+2(20 \times 5)+$ $100 \quad 20 \times 10=$ $=2(20 \times 10)+2(20 \times 5)+2(10 \times 5)$ $\begin{array}{l} =2(20 \times 10)+2(20 \times 5)+2(10 \times 5) \\ =2 \times 200+2 \times 100+2 \times 200 \\ =200+100+200 \ldots 50 \mathrm{~m}^{2} \end{array}$
There are two of each size face: top and bottom, front and back, left and right sides. b
4 STEM The building One Canada Square in Canary Wharf, London, is roughly cuboidal in shape. It is approximately 235 m high, 55 m long and 50 m wide. All four walls are covered in glass, but not the roof. a Work out the surface area of the glass.
A skyscraper uses approximately 125 kg of steel to support one square metre of glass. b Work out the mass of steel used to support the glass in One Canada Square. Show how to check your answer using estimation.
5 Problem-solving A cuboid has a height of 7 cm and a width of 9 cm . Its volume is $661.5 \mathrm{~cm}^{3}$ . Work out the surface area of the cuboid. Use the volume to work out the length of the cuboid first.

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Problem 2915

Slope of line $D E=-1 / 3 \vee$
Slope of line EF= 3 $\square$
Slope of line $D F=-1 / 3 \sim$ $\square$
Length of the line DE $=$ $\square$
Length of the line EF= $\square$
Length of the line DF= $\square$ Determine the type of the triangle $\square$

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Problem 2916

In triangle $D E F, m \angle E$ is three times $m \angle D$ , and $m \angle F$ is $9^{\circ}$ less than $m \angle E$ . What is the measure of each angle?
Find the $m<D=$ $\square$ Find the $m<E=$ $\square$ Find the $\mathrm{m}<\mathrm{F}=$ $\square$

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Problem 2917

(Geometry, Unit 3, Lesson 10) Which of these statements is true? Select the correct choice.
A To know whether 2 triangles are similar, it is enough to know the measure of 1 angle.
B To know whether 2 triangles are similar, it is enough to know the length of 1 side.
C To know whether 2 triangles are similar, it is enough to know the measure of 2 angles in each triangle.
D To know whether 2 triangles are similar, it is enough to know the measure of 2 sides in each triangle.

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Problem 2918

Example 3 Determine the point on the plane $4 x-2 y+z=1$ that is closest to the point $(-2,-1,5)$ .

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Problem 2919

vvnat is the siope or this ine? Submit

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Problem 2920

Quadratic, Rational, and Radical Equations Pythagorean Theorem $\square$ 1/3 Español ig right triangle, find the side length $x$ . Round your answer to the nearest hundredth

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Problem 2921

The length of a shadow of a building is 31 m . The distance from the top of the building to the tip of the shadow is 36 m . Find the height of the building. If necessary, round your answer to the nearest tenth. $\square$ m

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Problem 2922

A kite is flying 16 ft off the ground. Its line is pulled taut and casts a $12-\mathrm{ft}$ shadow. Find the length of the line. If necessary, round your answer to the neare tenth. $\square$ ft

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Problem 2923

Ernesto is creating a scale drawing of his bedroom. 1 inch in his drawing represents 12 inches in his bedroom.
Complete the table. \begin{tabular}{|l|c|c|c|c|} \hline 4) $)$ Bedroom (inches) & 12 & 24 & \\ \hline J) $)$ Drawing (inches) & 1 & & 5 & \\ \hline \end{tabular}
Graph the data from the table.

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Problem 2924

Ernesto is creating a scale drawing of his bedroom. 1 inch in his drawing represents 12 inches in his bedroom.
Complete the table. \begin{tabular}{|l|c|c|c|c|} \hline 4) $)$ Bedroom (inches) & 12 & 24 & & \\ \hline 4 $)$ & Drawing (inches) & 1 & L & 5 \\ \hline \end{tabular}
Graph the data from the table.

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Problem 2925

Ernesto is creating a scale drawing of his bedroom. 1 inch in his drawing represents 12 inches in his bedroom.
Complete the table. \begin{tabular}{|l|c|c|c|c|} \hline 4) $)$ Bedroom (inches) & 12 & 24 & & $\square$ \\ \hline 4) $)$ Drawing (inches) & 1 & $\square I$ & 5 & 8 \\ \hline \end{tabular}
Graph the data from the table.

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Problem 2926

Drag the blocks to complete the proofs.
Statements 1) 2) $\angle 1 \cong \angle 8$ 3) 4) $\angle 8 \cong \angle 16$ 5)
Reasons 1) given 2) 3) given 4) 5) Transitive prop. $\cong$
Linked slide Corresponding Angles $<1 \triangleq<16$ a|lb clld
Alt Ext Angles

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Problem 2927

Lesson 13 Angles in Triangles Triangle Sum Theorem a b $c$ The sum of the three interior angles in a triangle is always $180^{\circ}$ . $\angle a+\angle b+\angle c=180^{\circ}$ a
Find $x$ : $\square$ Click to add text
Find the missing angles: $\begin{array}{l} <1=\text { Click to add text } \\ <2=\text { Click to add text } \\ <3=\text { Click to add text } \\ <4=\text { Click to add text } \\ <5=\text { Click to add text } \\ <6=\text { Click to add text } \end{array}$

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Problem 2928

Given $\angle E B C \cong \angle E C B, \overline{A E} \cong \overline{D E}$ Prove $\overline{A B} \cong \overline{D C}$
Statements
1. $\angle E B C=\angle E C B$
2. $A E=D E$
3. $E B=E C$
4. $\angle A E B=\angle D E C$
5. ABE : $\triangle D C E$
6. $A B=D C$
Reasons
1. $\square$ Click to add text
2. $\square$ Click to add text Click to add text $\square$ 3. $\square$ 4. 5.
Click to add text $\square$
6. $\square$

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Problem 2929

7. Suppose Romeo is serenadib facing north and sees the Juliet while she is on her balcony. Romeo is other suitor, is observing balcony at an angle of elevation of $20^{\circ}$ . Paris, Juliet's balcony at an angle of the situation and is facing west. Paris sees the shown. Determine of elevation of $18^{\circ}$ . Romeo and Paris are 100 m apart as nearest metre.

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Problem 2930

Question 5 (12 points) Calculer le volume à l'intérieur du cylindre $x^{2}+y^{2}=4 y$ au-dessus du pl $z=0$ et sous la sphère $x^{2}+y^{2}+z^{2}=16$ .

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Problem 2931

5.
John is planning on planting vegetables and flowers in his garden. The shaded area represents where he will plant the flowers.
What is the area of space where John will plant the flowers? A. $5 x^{2}+24 x+16$ B. $9 x^{2}+20 x+16$ c. $7 x^{2}+24 x+16$ D. $5 x^{2}+16$

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Problem 2932

Find the unknown angles in triangle $A B C$ for the following triangle if it exists. $\mathrm{C}=48^{\circ} 20^{\prime}, \mathrm{b}=26.5 \mathrm{~m}, \mathrm{c}=31.1 \mathrm{~m}$
Select the correct choice below, and, if necessary, fill in the answer boxes to complete your choice. A. There is only one possible set of remaining angles. The measurements for the remaining angles are $A=$ $\square$ ${ }^{\circ}$ ' and $B=$ $\square$ ${ }^{\circ}$ ${ }^{\prime}$ . '. (Do not round until the final answers. Then round to the nearest whole number as needed.) B. There are two possible sets of remaining angles. The measurements for when $B$ is larger are $A_{1}=$ $\square$ ${ }^{\circ}$ $\square$ ' and $\mathrm{B}_{1}=$ $\square$ ${ }^{\circ}$ '. - The measurements for when $B$ is smaller are $A_{2}=$ $\square$ ${ }^{\circ}$ (Do not round until the final answers. Then round to the nearest whole number as needed.) C. No such triangle exists.

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Problem 2933

Find the unknown angles in triangle $A B C$ for the following triangle if it exists. $\mathrm{C}=42^{\circ} 20^{\prime}, \mathrm{b}=24.1 \mathrm{~m}, \mathrm{c}=34.3 \mathrm{~m}$
Select the correct choice below, and, if necessary, fill in the answer boxes to complete your choice. A. There is only one possible set of remaining angles. The measurements for the remaining angles are $A=$ $\square$ ${ }^{\circ}$ (Do not round until the final answers. Then round to the nearest whole number as needed.) $\square$ 'and $B=$ $\square$ $\square^{\circ}$ '. B. There are two possible sets of remaining angles. The measurements for when $B$ is larger are $A_{1}=$ $\square$ ${ }^{\circ}$ ' and $\mathrm{B}_{1}=$ $\square$ ${ }^{\circ}$ $\square$ '. The measurements for when Bi (Do not round until the final answers. Then round to the nearest whole number as needed.)

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Problem 2934

Find the unknown angles in triangle $A B C$ for the following triangle if it exists. $C=42^{\circ} 40^{\prime}, b=22.1 \mathrm{~m}, \mathrm{c}=38.1 \mathrm{~m}$
Select the correct choice below, and, if necessary, fill in the answer boxes to complete your choice. A. There is only one possible set of remaining angles. The measurements for the remaining angles are $A=$ $\square$ ${ }^{\circ}$ (Do not round until the final answers. Then round to the nearest whole number as needed.) $\square$ and $B=$ $\square$ I'.

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Problem 2935

Score: $4 / 5$ Penalty: 1 off
Question Show Examples $\angle 1$ and $\angle 2$ are vertical angles. If $\mathrm{m} \angle 1=(4 x+13)^{\circ}$ and $\mathrm{m} \angle 2=(7 x+4)^{\circ}$ , then find the value of $x$ .
Answer Attempt 1 out of 2 $\square$ Submit Answer

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Problem 2936

9. Triangle $A B C$ is dilated about the origin with a scale factor of 3 to make Triangle $A^{\prime} B^{\prime} C^{\prime}$ . Determine the coordinates of $A^{\prime}$ . A) $(3,12)$ B) $(-1,0)$ C) $(-12,3)$ D) $(-6,9)$

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Problem 2937

9. Triangle $A B C$ is dilated about the origin with a scale factor of 3 to make Triangle $A^{\prime} B^{\prime} C^{\prime}$ . Determine the coordinates of $A^{\prime}$ . A) $(3,12)$ B) $(-1,0)$ C) $(-12,3)$ D) $(-6,9)$

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Problem 2938

A flour moth trap has the shape of a triangular prism that is open on both ends. An environmentally safe chemical draws the moth inside the prism, which is lined with an adhesive. What is the surface area of the prism-shaped trap?
The surface area of the given triangular prism is $\square$ sq in. (Type an integer or a decimal.)

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Problem 2939

Sketch a graph of $\frac{x^{2}}{16}-\frac{y^{2}}{25}=1$
Clear All $\square$ Draw: $\square$
Check Answer

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Problem 2940

The table below lists either the diameter or radius for different circles. Fill in the missing diameter or radius for each circle. \begin{tabular}{|c|c|c|} \hline & \multicolumn{2}{|l|}{diameter radius} \\ \hline Circle A & 25 & \\ \hline Circle B & & 4.7 \\ \hline Circle C & 102.56 & \\ \hline Circle D & & 256 \\ \hline \end{tabular}

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Problem 2941

Concepts of Area and Perimeter - Quiz - Level F (x)
What is the area of this tile? in. \% $\mathrm{in}^{2}$ $4 \mathrm{in}$ . 7 Number Pad 4 5 6 - 2 3 2 1 in.

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Problem 2942

Concepts of Area and Perimeter - Quiz - Level F
What is the area of this tile? in. $i n^{2}$ $6 \mathrm{in}$ . 2 in.

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Problem 2943

Find $c$ if $a=2.14 \mathrm{mi}, b=3.99 \mathrm{mi}$ and $\angle C=40.9$ degrees. $c=$ $\square$ mi ;
Assume $\angle A$ is opposite side $a, \angle B$ is opposite side $b$ , and $\angle C$ is opposite side $c$ . Question Help: Video

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Problem 2944

Find the center, transverse axis, vertices, foci, and asymptotes. Graph the equation. $\frac{x^{2}}{81}-\frac{y^{2}}{16}=1$

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Problem 2945

Find the density of a rectangular artifact with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}$ and mass 36 grams.

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Problem 2946

Find the measure of $\angle 2$ given that $\mathrm{m} \angle 1=(2 x+29)^{\circ}$ and $\mathrm{m} \angle 2=(3 x-17)^{\circ}$ , where they are vertical angles.

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Problem 2947

Find the value of $x$ if $\angle 1$ and $\angle 2$ are vertical angles with $\mathrm{m} \angle 1=(2x-2)^{\circ}$ and $\mathrm{m} \angle 2=(3x-15)^{\circ}$ .

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Problem 2948

Find $x$ if $m \angle PQR = x + 9$ , $m \angle SQR = x - 3$ , and $m \angle PQS = 100$ .

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Problem 2949

Find the perimeter of triangle with vertices at $P(6,4)$ , $Q(-3,1)$ , and $R(9,-5)$ in surd form.

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Problem 2950

Find the equation of the locus of point $P(x, y)$ such that the distances to points $S(4,6)$ and $R(12,6)$ are equal: $|P S|=|P R|$ .

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Problem 2951

Find the area of a circle with radius 13 m. Options: A. $4 m^{2}$ B. $8 m^{2}$ C. $6.28 m^{2}$ D. $12.57 m^{2}$
Calculate the volume of a sphere with radius 13 m. Options: A. $14,356.32 m^{3}$ B. $427.74 m^{3}$ C. $141.58 m^{3}$ D. $161,747.92 m^{3}$
What is the radius of a sphere with surface area $616 cm^{2}$ ? Options: A. $7 cm$ B. $14 cm$ C. $21 cm$ D. $28 cm$
Find the slant height of a cone formed by rolling a semi-circle of radius $10 cm$ . Options: A. $5 cm$ B. $10 cm$ C. $15 cm$

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Problem 2952

Calculate the volume of a cylinder with radius $4 \mathrm{~cm}$ and height $10 \mathrm{~cm}$ . Options: A. $80 \pi$ B. $100 \pi$ C. $160 \pi$ D. $200 \pi$

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Problem 2953

A gardener plans to fence a square area of side 28 ft. How much fencing is needed for the rectangular area, which requires double?

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Problem 2954

Cube B's side is 3 times cube A's. If volume A is $a \mathrm{~cm}^{3}$ , find $b$ in terms of $a$ :
a. $b=81 a$ b. $b=9 a$ c. $b=3 a$ d. $b=27 a$

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Problem 2955

Points A, B, C, D divide line segment AD in the ratio $2 \frac{1}{2}: 1 \frac{1}{3}: \frac{5}{6}$ . If AB = 30 cm, find BD. Options: a. 26 cm b. 56 cm c. 16 cm d. 10 cm.

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Problem 2956

What is the total cost of a rectangular plot (1200 m by 900 m) if 1 hectare costs R5 200? Options: a. R2076923,08 b. R561600,00 c. R207692,31 d. R5616000,00

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Problem 2957

Find the intercepts of the equation $9 x^{2}+4 y^{2}=36$ . A. List them as ordered pairs. B. Or state there are none.

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Problem 2958

Find the length $l$ of a box with volume $121500 \mathrm{~cm}^{3}$ , width $w = 45 \mathrm{~cm}$ , and height $h = 2w$ .

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Problem 2959

Find the area of a circular rug with a radius of 4 feet in square inches. Choices: A. $55.26 \mathrm{ft}^{2}$ B. $50.24 \mathrm{ft}^{2}$ C. $29.7 \mathrm{ft}^{2}$ D. $33.6 \mathrm{ft}^{2}$

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Problem 2960

Calculate the slope of the line through the points $(0,3)$ and $(6,0)$ .

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Problem 2961

Calculate the distance between the points $(2,-1)$ and $(3,-4)$ .

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Problem 2962

Graph the equation $y=-\frac{1}{2} x+4$ .

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Problem 2963

Calculate the total mass of mercury in a lake with $0.4 \mu \mathrm{g} / \mathrm{mL}$ , surface area $100 \mathrm{mi}^2$ , depth $20 \mathrm{ft}$ .

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Problem 2964

Select the true statements: 1) All squares are rectangles. 2) All trapezoids are quadrilaterals. 3) All rhombuses are squares.

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Problem 2965

Choose a word (always, sometimes, never) to complete each statement about triangle types.

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Problem 2966

How do you correctly plot the point $(3,6)$ on a coordinate plane? Choose the right method from options a-d.

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Problem 2967

What is a quadrilateral with one pair of parallel sides called? a. Rhombus b. Parallelogram c. Rectangle d. Trapezoid

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Problem 2968

Mr. Magoo's bedroom is 15 ft by 20 ft. How many gallons of paint (covers 100 ft² each) does he need for the walls? a. 6 b. 5 c. 4 d. 3

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Problem 2969

Find the area of a circle with a diameter of $6 \mathrm{ft}$ . Choices: a. 37.7 b. 3.14 C. 28.27 d. 113.1

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Problem 2970

Find the volume of a sphere with a radius of $3 \mathrm{~m}$ . Options: a. 113.1 b. 28.3 c. 9.4 d. 84.8

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Problem 2971

What is the sum of the angles in a triangle? a. 270 b. 360 c. 90 d. 180

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Problem 2972

Find the hypotenuse of a right triangle with legs 5 and 12. Options: a. 8, b. 169, c. 13, d. 17.

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Problem 2973

A triangle with three equal sides is called: a. Right b. Scalene c. Equilateral d. Isosceles

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Problem 2974

Find the length of a rectangle with area 40 and perimeter 28. Options: a. 4 b. 20 c. 10 d. 8

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Problem 2975

If $\triangle \mathrm{JKL} \cong \triangle PQR$ and $m<P=52$ , $m<Q=48$ , $m<R=80$ , find $m<K$ . A. Cannot be determined B. 80 C. 52 D. 48

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Problem 2976

If $\triangle ABC \cong \triangle DEF$ and $AB=18, BC=10, AC=25$ , what is the length of $DF$ ? A. Cannot be determined B. 18 C. 10 D. 25

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Problem 2977

Find the coordinates of point $C$ in right isosceles triangle $\triangle ABC$ where $A(2,3)$ and $B(7,3)$ .

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Problem 2978

Find the area of Sammy's walkway, measuring $\frac{3}{5}$ ft by $\frac{4}{q}$ ft, with $q$ unknown.

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Problem 2979

Find the measure of angle $\mathrm{DOT}$ if $\overrightarrow{\mathrm{OG}}$ bisects $\angle D O T$ , with $m \angle 1 = 6x + 41$ and $m \angle 2 = 9x - 1$ .

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Problem 2980

Find $m \angle ABC$ if $m \angle ABC = 6x - 4$ , $m \angle CBD = 3x + 2$ , and $m \angle ABD = 34$ .

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Problem 2981

If $\angle 1 \cong \angle 2$ and $m \angle 1=2x+10$ , $m \angle 3=120^{\circ}$ , find $x$ . How many degrees in a line?

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Problem 2982

If $\angle 1$ complements $\angle 2$ and $m \angle 1=23^{\circ}$ , what is $m \angle 2$ ?

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Problem 2983

If $\angle 1 \cong \angle 2$ and $m \angle 1=2x+10$ , $m \angle 3=120^{\circ}$ , find $x$ .

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Problem 2984

How many degrees must a gate arm move from $42^{\circ}$ to reach a horizontal position?

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Problem 2985

Find the $x$ -intercepts and $y$ -intercepts of the function $f$ with range $-6 \leq y \leq 9$ . $x$ -intercepts: $x=8,-2,-12$ . $y=$

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Problem 2986

Find the area of Shenandoah's bedroom, which is 12 feet long and 7 feet wide. Use the expression $A = \text{length} \times \text{width}$ .

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Problem 2987

Find the $y$ -intercept(s) of the points $(8,0)$ , $(4,-6)$ , $(0,-3)$ , $(-14,-6)$ , $(-2,0)$ , $(-4,6)$ , $(-6,9)$ , $(-12,0)$ . How many times does $y=1$ and $x=5$ intersect the graph?

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Problem 2988

Analyze the graph of $f$ to find intersections with $y=1$ , $x=5$ , and solve $f(x)=-6$ . Use given points for help.

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Problem 2989

What is a Venn diagram? How do we show subsets, disjoint, and overlapping sets? Choose the correct answer.
A. Uses brackets for sets. Subsets: two separate circles. Disjoint: one inside another. Overlapping: overlapping circles.
B. Uses circles for sets. Subsets: one inside another. Disjoint: separate circles. Overlapping: overlapping circles.

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Problem 2990

Find the density of a metal cube with side $1.50 \mathrm{~cm}$ and weight $4.32 \mathrm{~g}$ in $\mathrm{g} / \mathrm{ml}$ .

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Problem 2991

Find the center, semi-major axis, semi-minor axis, and foci of the ellipse $\frac{x^{2}}{9}+\frac{y^{2}}{25}=1$ .

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Problem 2992

Find the density of a metal cube (1.50 cm sides) weighing 4.32 g in $\mathrm{g} / \mathrm{ml}$ . Report with sig. figs.

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Problem 2993

Graph Grant and Pedro's stock results for Monday, given that Grant lost \$4. How would you represent this?

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Problem 2994

Calculate the cubic feet of concrete needed for a driveway that is 162 ft long, 6 ft wide, and 4 in deep.

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Problem 2995

Sketch the line given by the equation $4y = 5x - 4$ .

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Problem 2996

Copy angle ABC onto ray DE to create angle FDE. Draw ray DF, then use compass to create points J and F.

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Problem 2997

Joe climbs a ladder, reaching 3.2 ft up and 2.4 ft out. Which equation finds his climb? Options: $3.2+2.4=c$ $a^{2}+2.4^{2}=3.2^{2}$ $3.2^{2}+2.4^{2}=c^{2}$ $3.2^{2}+b^{2}=2.4^{2}$

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Problem 2998

What are the steps to bisect line segment $\mathrm{AB}$ using a compass and straightedge?

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Problem 2999

How many solar panels are needed to heat a pool (50m x 25m) if each panel produces 265 watts and 50 watts/m² is required?

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Problem 3000

Find the perimeter of a figure made of two congruent equilateral triangles, given that $AD = DC = x$ .

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Geometry

Problem 2901

Which estimate best describes the area of this figure? 10in210 \mathrm{in}^{2}10in2 15in215 \mathrm{in}^{2}15in2 20in220 \mathrm{in}^{2}20in2 35 in 2^{2}2

Problem 2902

What is the area of rhombus ABCDA B C DABCD ?Enter your answer in the box. Do not round at any steps. □\square□ units 2{ }^{2}2

Problem 2903

What is the area of a parallelogram whose vertices are A(−1,12),B(13,12),C(2,−5)A(-1,12), B(13,12), C(2,-5)A(−1,12),B(13,12),C(2,−5), and D(−12,−5)D(-12,-5)D(−12,−5) ?Enter your answer in the box. □\square□ units 2^{2}2

Problem 2904

The straight line 2x+y=142 x+y=142x+y=14 intersects the curve 2x2−y2=2xy−62 x^{2}-y^{2}=2 x y-62x2−y2=2xy−6 at the points AAA and BBB. Show that the length of ABA BAB is 24524 \sqrt{5}245​ units.

Problem 2905

XII. Харьцаа, пропори19. Гурвалжны дотоод онцгҮүд 3:5:43: 5: 43:5:4 харьцаатай бол тус бүрийн хәмжәэг ол

Problem 2906

```latex \text{صورة النقطة } (3, -2) \text{ بالانسحاب 4 وحدات لليسار و 3 وحدات للأعلى هي النقطة:} ```

Problem 2907

Problem 2908

Problem 2909

100 pizz B. 10m C 100 45° A abaily

Problem 2910

surface area of a sphere =4πr2=4 \pi r^{2}=4πr2, where rrr is the radius. The sphere below has a radius of 6 cm . Work out the surface area of the sphere. Give your answer in terms of π\piπ and remember to give the correct units.

Problem 2911

OAB is a sector of a circle as shown below.Work out the length of the arc AB . Give your answer to 1 d.p.

Problem 2912

Problem 2913

Problem 2914

Problem 2915

Problem 2916

Problem 2917

Problem 2918

Example 3 Determine the point on the plane 4x−2y+z=14 x-2 y+z=14x−2y+z=1 that is closest to the point (−2,−1,5)(-2,-1,5)(−2,−1,5).

Problem 2919

vvnat is the siope or this ine? Submit

Problem 2920

Quadratic, Rational, and Radical Equations Pythagorean Theorem □\square□ 1/3 Español ig right triangle, find the side length xxx. Round your answer to the nearest hundredth

Problem 2921

The length of a shadow of a building is 31 m . The distance from the top of the building to the tip of the shadow is 36 m . Find the height of the building. If necessary, round your answer to the nearest tenth. □\square□ m

Problem 2922

A kite is flying 16 ft off the ground. Its line is pulled taut and casts a 12−ft12-\mathrm{ft}12−ft shadow. Find the length of the line. If necessary, round your answer to the neare tenth. □\square□ ft

Problem 2923

Problem 2924

Problem 2925

Problem 2926

Problem 2927

Problem 2928

Problem 2929

Problem 2930

Question 5 (12 points) Calculer le volume à l'intérieur du cylindre x2+y2=4yx^{2}+y^{2}=4 yx2+y2=4y au-dessus du pl z=0z=0z=0 et sous la sphère x2+y2+z2=16x^{2}+y^{2}+z^{2}=16x2+y2+z2=16.

Problem 2931

Problem 2932

Problem 2933

Problem 2934

Problem 2935

Problem 2936

Problem 2937

Problem 2938

Problem 2939

Sketch a graph of x216−y225=1\frac{x^{2}}{16}-\frac{y^{2}}{25}=116x2​−25y2​=1Clear All □\square□ Draw: □\square□Check Answer

Problem 2940

Problem 2941

Concepts of Area and Perimeter - Quiz - Level F (x)What is the area of this tile? in. \% in2\mathrm{in}^{2}in2 4in4 \mathrm{in}4in. 7 Number Pad 4 5 6 - 2 3 2 1 in.

Problem 2942

Concepts of Area and Perimeter - Quiz - Level FWhat is the area of this tile? in. in2i n^{2}in2 6in6 \mathrm{in}6in. 2 in.

Problem 2943

Problem 2944

Find the center, transverse axis, vertices, foci, and asymptotes. Graph the equation. x281−y216=1\frac{x^{2}}{81}-\frac{y^{2}}{16}=181x2​−16y2​=1

Problem 2945

Find the density of a rectangular artifact with dimensions 2 cm×3 cm×4 cm2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}2 cm×3 cm×4 cm and mass 36 grams.

Problem 2946

Find the measure of ∠2\angle 2∠2 given that m∠1=(2x+29)∘\mathrm{m} \angle 1=(2 x+29)^{\circ}m∠1=(2x+29)∘ and m∠2=(3x−17)∘\mathrm{m} \angle 2=(3 x-17)^{\circ}m∠2=(3x−17)∘, where they are vertical angles.

Problem 2947

Find the value of xxx if ∠1\angle 1∠1 and ∠2\angle 2∠2 are vertical angles with m∠1=(2x−2)∘\mathrm{m} \angle 1=(2x-2)^{\circ}m∠1=(2x−2)∘ and m∠2=(3x−15)∘\mathrm{m} \angle 2=(3x-15)^{\circ}m∠2=(3x−15)∘.

Problem 2948

Find xxx if m∠PQR=x+9m \angle PQR = x + 9m∠PQR=x+9, m∠SQR=x−3m \angle SQR = x - 3m∠SQR=x−3, and m∠PQS=100m \angle PQS = 100m∠PQS=100.

Problem 2949

Find the perimeter of triangle with vertices at P(6,4)P(6,4)P(6,4), Q(−3,1)Q(-3,1)Q(−3,1), and R(9,−5)R(9,-5)R(9,−5) in surd form.

Problem 2950

Find the equation of the locus of point P(x,y)P(x, y)P(x,y) such that the distances to points S(4,6)S(4,6)S(4,6) and R(12,6)R(12,6)R(12,6) are equal: ∣PS∣=∣PR∣|P S|=|P R|∣PS∣=∣PR∣.

Problem 2951

Problem 2952

Calculate the volume of a cylinder with radius 4 cm4 \mathrm{~cm}4 cm and height 10 cm10 \mathrm{~cm}10 cm. Options: A. 80π80 \pi80π B. 100π100 \pi100π C. 160π160 \pi160π D. 200π200 \pi200π

Problem 2953

Which estimate best describes the area of this figure? $10 \mathrm{in}^{2}$ $15 \mathrm{in}^{2}$ $20 \mathrm{in}^{2}$ 35 in $^{2}$

What is the area of rhombus $A B C D$ ?
Enter your answer in the box. Do not round at any steps. $\square$ units ${ }^{2}$

What is the area of a parallelogram whose vertices are $A(-1,12), B(13,12), C(2,-5)$ , and $D(-12,-5)$ ?
Enter your answer in the box. $\square$ units $^{2}$

The straight line $2 x+y=14$ intersects the curve $2 x^{2}-y^{2}=2 x y-6$ at the points $A$ and $B$ . Show that the length of $A B$ is $24 \sqrt{5}$ units.

XII. Харьцаа, пропори
19. Гурвалжны дотоод онцгҮүд $3: 5: 4$ харьцаатай бол тус бүрийн хәмжәэг ол

surface area of a sphere $=4 \pi r^{2}$ , where $r$ is the radius. The sphere below has a radius of 6 cm . Work out the surface area of the sphere. Give your answer in terms of $\pi$ and remember to give the correct units.

OAB is a sector of a circle as shown below.
Work out the length of the arc AB . Give your answer to 1 d.p.

Example 3 Determine the point on the plane $4 x-2 y+z=1$ that is closest to the point $(-2,-1,5)$ .

Quadratic, Rational, and Radical Equations Pythagorean Theorem $\square$ 1/3 Español ig right triangle, find the side length $x$ . Round your answer to the nearest hundredth

The length of a shadow of a building is 31 m . The distance from the top of the building to the tip of the shadow is 36 m . Find the height of the building. If necessary, round your answer to the nearest tenth. $\square$ m

A kite is flying 16 ft off the ground. Its line is pulled taut and casts a $12-\mathrm{ft}$ shadow. Find the length of the line. If necessary, round your answer to the neare tenth. $\square$ ft

Question 5 (12 points) Calculer le volume à l'intérieur du cylindre $x^{2}+y^{2}=4 y$ au-dessus du pl $z=0$ et sous la sphère $x^{2}+y^{2}+z^{2}=16$ .

Sketch a graph of $\frac{x^{2}}{16}-\frac{y^{2}}{25}=1$
Clear All $\square$ Draw: $\square$
Check Answer

Concepts of Area and Perimeter - Quiz - Level F (x)
What is the area of this tile? in. \% $\mathrm{in}^{2}$ $4 \mathrm{in}$ . 7 Number Pad 4 5 6 - 2 3 2 1 in.

Concepts of Area and Perimeter - Quiz - Level F
What is the area of this tile? in. $i n^{2}$ $6 \mathrm{in}$ . 2 in.

Find the center, transverse axis, vertices, foci, and asymptotes. Graph the equation. $\frac{x^{2}}{81}-\frac{y^{2}}{16}=1$

Find the density of a rectangular artifact with dimensions $2 \mathrm{~cm} \times 3 \mathrm{~cm} \times 4 \mathrm{~cm}$ and mass 36 grams.

Find the measure of $\angle 2$ given that $\mathrm{m} \angle 1=(2 x+29)^{\circ}$ and $\mathrm{m} \angle 2=(3 x-17)^{\circ}$ , where they are vertical angles.

Find the value of $x$ if $\angle 1$ and $\angle 2$ are vertical angles with $\mathrm{m} \angle 1=(2x-2)^{\circ}$ and $\mathrm{m} \angle 2=(3x-15)^{\circ}$ .

Find $x$ if $m \angle PQR = x + 9$ , $m \angle SQR = x - 3$ , and $m \angle PQS = 100$ .

Find the perimeter of triangle with vertices at $P(6,4)$ , $Q(-3,1)$ , and $R(9,-5)$ in surd form.

Find the equation of the locus of point $P(x, y)$ such that the distances to points $S(4,6)$ and $R(12,6)$ are equal: $|P S|=|P R|$ .

Calculate the volume of a cylinder with radius $4 \mathrm{~cm}$ and height $10 \mathrm{~cm}$ . Options: A. $80 \pi$ B. $100 \pi$ C. $160 \pi$ D. $200 \pi$

Cube B's side is 3 times cube A's. If volume A is $a \mathrm{~cm}^{3}$ , find $b$ in terms of $a$ :
a. $b=81 a$ b. $b=9 a$ c. $b=3 a$ d. $b=27 a$

Points A, B, C, D divide line segment AD in the ratio $2 \frac{1}{2}: 1 \frac{1}{3}: \frac{5}{6}$ . If AB = 30 cm, find BD. Options: a. 26 cm b. 56 cm c. 16 cm d. 10 cm.

Find the intercepts of the equation $9 x^{2}+4 y^{2}=36$ . A. List them as ordered pairs. B. Or state there are none.

Find the length $l$ of a box with volume $121500 \mathrm{~cm}^{3}$ , width $w = 45 \mathrm{~cm}$ , and height $h = 2w$ .

Find the area of a circular rug with a radius of 4 feet in square inches. Choices: A. $55.26 \mathrm{ft}^{2}$ B. $50.24 \mathrm{ft}^{2}$ C. $29.7 \mathrm{ft}^{2}$ D. $33.6 \mathrm{ft}^{2}$

Calculate the slope of the line through the points $(0,3)$ and $(6,0)$ .

Calculate the distance between the points $(2,-1)$ and $(3,-4)$ .

Graph the equation $y=-\frac{1}{2} x+4$ .

Calculate the total mass of mercury in a lake with $0.4 \mu \mathrm{g} / \mathrm{mL}$ , surface area $100 \mathrm{mi}^2$ , depth $20 \mathrm{ft}$ .

How do you correctly plot the point $(3,6)$ on a coordinate plane? Choose the right method from options a-d.

Find the area of a circle with a diameter of $6 \mathrm{ft}$ . Choices: a. 37.7 b. 3.14 C. 28.27 d. 113.1

Find the volume of a sphere with a radius of $3 \mathrm{~m}$ . Options: a. 113.1 b. 28.3 c. 9.4 d. 84.8