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Natali5045456 [20]
3 years ago
5

Jack's living room is 16 feet. By 20 feet long if a scale drawing of his living room uses a scale of 3/4 inches = 6feet ,find th

e demention of his living room on the drawer
Mathematics
1 answer:
DENIUS [597]3 years ago
7 0

Answer:

The dimension of the drawer is 2 inches by 2.5 inches

Step-by-step explanation:

Here, we want to find the dimension of the living room

Mathematically, the scale to be used is;

3/4 inches to 6 feet

So let’s calculate the dimensions now;

3/4 inches is 6 feet

x inches will be 16 feet

3/4 * 16 = 6 * x

12 = 6x

x = 12/6 = 2 inches

For the 20 feet;

3/4 inches = 6 feet

x inches = 20 feet

3/4 * 20 = 6 * x

6x = 15

x = 15/6

x = 5/2 = 2.5 inches

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Which choices are equivalent to the expression below? Check all that apply. 6√3
Westkost [7]

Answer:

case A. \sqrt{18}*\sqrt{6}

case B. \sqrt{108}

case E. \sqrt{3}*\sqrt{36}

Step-by-step explanation:

we have

6\sqrt{3}

we know that

6\sqrt{3}=\sqrt{36*3}=\sqrt{108}

<u>Verify each case</u>

case A) \sqrt{18}*\sqrt{6}

\sqrt{18}*\sqrt{6}=\sqrt{18*6}=\sqrt{108}

therefore

\sqrt{18}*\sqrt{6} is equivalent to 6\sqrt{3}

case B) \sqrt{108}

so

\sqrt{108} is equivalent to 6\sqrt{3}

case C) \sqrt{3}*\sqrt{6}

\sqrt{3}*\sqrt{6}=\sqrt{18}

therefore

\sqrt{18} is not equivalent to 6\sqrt{3}

case D) \sqrt{54}

so

\sqrt{54} is not equivalent to 6\sqrt{3}

case E) \sqrt{3}*\sqrt{36}

\sqrt{3}*\sqrt{36}=\sqrt{108}

therefore

\sqrt{3}*\sqrt{36} is equivalent to 6\sqrt{3}

case F) 108

so

108 is not equivalent to 6\sqrt{3}

6 0
3 years ago
Angle A and Angle B are vertical angles. If m
damaskus [11]

Answer:

∠B = 17°

Step-by-step explanation:

Vertical angles are congruent, thus

5x + 7 = x + 15 ( subtract x from both sides )

4x + 7 = 15 ( subtract 7 from both sides )

4x = 8 ( divide both sides by 4 )

x = 2

Hence

∠B = 5x + 7 = (5 × 2) + 7 = 10 + 2 = 17°

3 0
3 years ago
1. What digit is in the tenths place when 12.03 is<br> multiplied by .74?
ioda

Answer:

9

Step-by-step explanation:

12.03 x 0.74=8.9022

the first number after the decimal is the tenths place, the second is the hundreths, the third is the thousandths. Excuse my spelling Im 13.

5 0
3 years ago
Solve for x- <br> 6x^2 + 36x + 54 = 0
lions [1.4K]

Answer:

-3

Step-by-step explanation:

6x^2+36x+54=0

First, you can factor out a 6:

6(x^2+6x+9)=0

Next, you can factor the quadratic:

6(x+3)^2=0

Since the only value of x that could set this equation equal to 0 is -3, that is the answer. Hope this helps!

5 0
3 years ago
Sofia makes and sells stuffed toys. She uses special fabric to cover a foam
valkas [14]

Answer:

384 square cm

Step-by-step explanation:

Fabric used will be equal to the total surface of the cubical block.

fabric \: used \\  = 6 {side}^{2}  \\ = 6 \times  {8}^{2}   \\  = 6 \times 64 \\  = 384 \:  {cm}^{2}  \\

8 0
3 years ago
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