Mathematics, 19.01.2020 09:31 glander2

Ce
blueprint for a house shows the height of the house to be
er inch?
8 inches. the actual house is 21 3 feet tall, what is the unit rate in feet

Answers: 2

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Answer from: hsernaykaw42

The unit rate in feet per inch is 6.32 feet.

Step-by-step explanation:

There are mistakes in questions so the correct question is below:

A blueprint for a house shows the height of the house to be 3 3/8 inches. The actual house is 21 1/3 feet tall. What is the unit rate in feet per inch?

Now, to find the unit rate in feet per inch.

Height of the house in blueprint = $3\frac{3}{8}\ inches=\frac{27}{8}\ inches.$

The actual height of the house = $21\frac{1}{3}\ feet=\frac{64}{3}\ feet.$

As:

1 feet = 12 inches.

So, to get the actual height of the house in inches we multiply the actual height of the house by 12:

$\frac{64}{3}\times 12$

$=\frac{768}{3}$

$=256\ inches.$

The actual height of the house in inches = 256 inches.

Now, to get the unit rate in feet we divide the actual height of the house in inches by height of the house in blueprint:

The actual height of the house in inches ÷ Height of the house in blueprint.

$256\ inches\div \frac{27}{8}\ inches$

As we change the division into multiplication the fraction changes into reciprocal.

= $256\times \frac{8}{27}$

$=\frac{2048}{27}$

Now, by using conversion factor:

As, 1 inch = $\frac{1}{12}\ feet$

So, $\frac{2048}{27}\ inches$

= $\frac{2048}{27} \times \frac{1}{12}$

$=\frac{2048}{324} \\=6.32\ feet.$

Therefore, the unit rate in feet per inch is 6.32 feet.

Answer from: Quest

i think that you should ask google for the answer to that problem because if we don't know it google does

Answer from: Quest

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

Identify the transformation that maps the figure with center (7, 1) onto itself. a) rotate 180° cloc

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