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sattari [20]
3 years ago
14

A city planner makes a scale drawing of a proposed playground. The length of the actual playground is 78 feet, and the width is

42 feet. Suppose a scale of 0.5 inch = 6 feet is used. Which dimensions represent the playground on the scale drawing? A) 4.5 inches by 7 inches B) 6.5 inches by 3.5 inches C) 8 inches by 4 inches D) 9.2 inches by 5.5 inches
Mathematics
2 answers:
Otrada [13]3 years ago
7 0

Answer:   B)  6.5 inches by 3.5 inchesStep-by-step explanation:Multiplying the actual dimensions by the scale gives the scale dimensions:   (0.5 in)/(6 ft) × {78 ft, 42 ft}   = {39/6 in, 21/6 in}   = {6.5 in, 3.5 in}The size on the scale drawing is 6.5 inches by 3.5 inches.

Allushta [10]3 years ago
5 0

Answer:

  B)  6.5 inches by 3.5 inches

Step-by-step explanation:

Multiplying the actual dimensions by the scale gives the scale dimensions:

  (0.5 in)/(6 ft) × {78 ft, 42 ft}

  = {39/6 in, 21/6 in}

  = {6.5 in, 3.5 in}

The size on the scale drawing is 6.5 inches by 3.5 inches.

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3 0
2 years ago
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It's not a college assignment!
Kisachek [45]

Using a calculator, the equation for the line of best fit where x represents the month and y represents the time is given by:

a. y = −1.74x + 46.6

<h3>How to find the equation of linear regression using a calculator?</h3>

To find the equation, we need to insert the points (x,y) in the calculator.

For this problem, the points (x,y) are given as follows, from the given table:

(1, 46), (2, 42), (3,40), (4, 41), (5, 38), (6,36).

Hence, inserting these points in the calculator, the equation for the line of best fit where x represents the month and y represents the time is given by:

a. y = −1.74x + 46.6

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8 0
2 years ago
A rate that describes how much smaller or larger the scale drawing is than then real object
Tems11 [23]
I'm not sure what is being asked here, but a rate that describes how much smaller or larger the scale drawing is than the real object would be a ratio such as 1in:25ft
6 0
3 years ago
Can someone explain this?
Cerrena [4.2K]
<h2>Hello!</h2>

The answer is:

The missing step is the step shown in the last option:

D. 324=0.042x+16

<h2>Why?</h2>

To find which is the missing step, we need to remember that to cancel a square root, we need to elevate it, so:

Starting from the last step before the missing step, we have:

-18=-\sqrt{0.042x+16}

In order to calculate the value of the variable (x) we need to square both sides of the equation, since squaring a root will cancel the root.

We must remember the following properties:

\sqrt{a^{m} }=a^{\frac{m}{2}}\\\\(a^{b})^{c}=a^{b*c}

Now, finding the missing step, we need to find what to do in order to get the expression of the following step.

So, squaring both sides of the equation in order to cancel the square root and isolate the variable, we have:

-18=-\sqrt{0.042x+16}\\\\(-18)^{2} =(-\sqrt{0.042x+16})^{2} \\324=0.042x+16\\324-16=0.042x\\\\x=\frac{304}{0.042}=7333

Hence, we found the the missing step is:

D. 324=0.042x+16

Have a nice day!

4 0
3 years ago
Asim used 324 ft? of carpet for his living room floor. The living room floor
dybincka [34]

Answer:

Hey there!

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