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ANTONII [103]
1 year ago
8

A scale drawing of a bedroom is shown below. The scale is 1 : 30.

Mathematics
1 answer:
ladessa [460]1 year ago
3 0

Answer: 75 feet²

Step-by-step explanation:

     The scale means that for every one unit in the scale drawing, it is 30 units in the actual room. We will convert the dimensions using proportions.

\frac{1}{3} =\frac{30}{x}

x = 90

-

\frac{1}{4} =\frac{30}{x}

x = 120

   The area of a rectangle can be found by multiplying the length by the width:

A = L * W

A = 90 * 120

A = 10,800 inches²

 To get this into square feet, we will divide by 144. Why? There are 12 inches in a foot. 12 times 12 is 144.

10,800 inches² / 144 = 75 feet²

           The area of the room, in square feet, is 75 feet².

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What is the solution to sqrt 17-x=x+3? Show your work.
snow_lady [41]

Answer:

x=1

Step-by-step explanation:

Remember:

(\sqrt[n]{a})^n=a\\\\(a+b)=a^2+2ab+b^2

Given the equation \sqrt{17-x}=x+3, you need to solve for the variable "x" to find its value.

You need to square both sides of the equation:

(\sqrt{17-x})^2=(x+3)^2

17-x=(x+3)^2

Simplifying, you get:

17-x=x^2+2(x)(3)+3^2\\\\17-x=x^2+6x+9\\\\x^2+6x+9+x-17=0\\\\x^2+7x-8=0

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\sqrt{17-(-8)}=(-8)+3

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Therefore, the solution is:

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3 years ago
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