QuestionTasha's drawing shows piers $12 \mathrm{~cm}$ apart. If $2 \mathrm{~cm}$ = $0.5 \mathrm{mi}$ , find the actual distance between the piers.

Studdy Solution

STEP 1

Assumptions1. The scale of the drawing is cm represents0.5 mi. The distance between the two piers on the drawing is12 cm3. The scale is linear, meaning that the same scale applies to all distances on the drawing

STEP 2

First, we need to find the ratio of the actual distance to the drawing distance. We can do this by dividing the actual distance by the drawing distance.
$Ratio = \frac{Actual\, distance}{Drawing\, distance}$

STEP 3

Now, plug in the given values for the actual distance and drawing distance to calculate the ratio.
$Ratio = \frac{0.5\, mi}{2\, cm}$

STEP 4

Calculate the ratio.
$Ratio = \frac{0.\, mi}{2\, cm} =0.25\, mi/cm$

STEP 5

Now that we have the ratio, we can find the actual distance between the two piers. This can be done by multiplying the drawing distance by the ratio.
$Actual\, distance = Drawing\, distance \\times Ratio$

STEP 6

Plug in the values for the drawing distance and the ratio to calculate the actual distance.
$Actual\, distance =12\, cm \\times0.25\, mi/cm$

STEP 7

Calculate the actual distance.
$Actual\, distance =12\, cm \\times0.25\, mi/cm =3\, mi$ The actual distance between the two piers is3 miles.

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QuestionTasha's drawing shows piers $12 \mathrm{~cm}$ apart. If $2 \mathrm{~cm}$ = $0.5 \mathrm{mi}$ , find the actual distance between the piers.

Studdy Solution

STEP 1

Assumptions1. The scale of the drawing is cm represents0.5 mi. The distance between the two piers on the drawing is12 cm3. The scale is linear, meaning that the same scale applies to all distances on the drawing

STEP 2

First, we need to find the ratio of the actual distance to the drawing distance. We can do this by dividing the actual distance by the drawing distance.
$Ratio = \frac{Actual\, distance}{Drawing\, distance}$

STEP 3

Now, plug in the given values for the actual distance and drawing distance to calculate the ratio.
$Ratio = \frac{0.5\, mi}{2\, cm}$

STEP 4

Calculate the ratio.
$Ratio = \frac{0.\, mi}{2\, cm} =0.25\, mi/cm$

STEP 5

Now that we have the ratio, we can find the actual distance between the two piers. This can be done by multiplying the drawing distance by the ratio.
$Actual\, distance = Drawing\, distance \\times Ratio$

STEP 6

Plug in the values for the drawing distance and the ratio to calculate the actual distance.
$Actual\, distance =12\, cm \\times0.25\, mi/cm$

STEP 7

Calculate the actual distance.
$Actual\, distance =12\, cm \\times0.25\, mi/cm =3\, mi$ The actual distance between the two piers is3 miles.

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QuestionTasha's drawing shows piers 12 cm12 \mathrm{~cm}12 cm apart. If 2 cm2 \mathrm{~cm}2 cm = 0.5mi0.5 \mathrm{mi}0.5mi, find the actual distance between the piers.

Studdy Solution

STEP 1

Assumptions1. The scale of the drawing is cm represents0.5 mi. The distance between the two piers on the drawing is12 cm3. The scale is linear, meaning that the same scale applies to all distances on the drawing

STEP 2

First, we need to find the ratio of the actual distance to the drawing distance. We can do this by dividing the actual distance by the drawing distance.Ratio=Actual distanceDrawing distanceRatio = \frac{Actual\, distance}{Drawing\, distance}Ratio=DrawingdistanceActualdistance​

STEP 3

Now, plug in the given values for the actual distance and drawing distance to calculate the ratio.Ratio=0.5 mi2 cmRatio = \frac{0.5\, mi}{2\, cm}Ratio=2cm0.5mi​

STEP 4

Calculate the ratio.Ratio=0. mi2 cm=0.25 mi/cmRatio = \frac{0.\, mi}{2\, cm} =0.25\, mi/cmRatio=2cm0.mi​=0.25mi/cm

STEP 5

Now that we have the ratio, we can find the actual distance between the two piers. This can be done by multiplying the drawing distance by the ratio.Actual distance=Drawing distancetimesRatioActual\, distance = Drawing\, distance \\times RatioActualdistance=DrawingdistancetimesRatio

STEP 6

Plug in the values for the drawing distance and the ratio to calculate the actual distance.Actual distance=12 cmtimes0.25 mi/cmActual\, distance =12\, cm \\times0.25\, mi/cmActualdistance=12cmtimes0.25mi/cm

STEP 7

Calculate the actual distance.Actual distance=12 cmtimes0.25 mi/cm=3 miActual\, distance =12\, cm \\times0.25\, mi/cm =3\, miActualdistance=12cmtimes0.25mi/cm=3miThe actual distance between the two piers is3 miles.

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Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

QuestionTasha's drawing shows piers $12 \mathrm{~cm}$ apart. If $2 \mathrm{~cm}$ = $0.5 \mathrm{mi}$ , find the actual distance between the piers.

First, we need to find the ratio of the actual distance to the drawing distance. We can do this by dividing the actual distance by the drawing distance.
$Ratio = \frac{Actual\, distance}{Drawing\, distance}$

Now, plug in the given values for the actual distance and drawing distance to calculate the ratio.
$Ratio = \frac{0.5\, mi}{2\, cm}$

Calculate the ratio.
$Ratio = \frac{0.\, mi}{2\, cm} =0.25\, mi/cm$

Now that we have the ratio, we can find the actual distance between the two piers. This can be done by multiplying the drawing distance by the ratio.
$Actual\, distance = Drawing\, distance \\times Ratio$

Plug in the values for the drawing distance and the ratio to calculate the actual distance.
$Actual\, distance =12\, cm \\times0.25\, mi/cm$

Calculate the actual distance.
$Actual\, distance =12\, cm \\times0.25\, mi/cm =3\, mi$ The actual distance between the two piers is3 miles.