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SVEN [57.7K]
2 years ago
11

Kelly is 5'4" tall. She measured her shadow one morning to be 8'7". She then measured the shadow of her house. The house shadow

was 42'3". How tall is the
actual house? (inches rounded to the hundredths.)
Mathematics
1 answer:
olchik [2.2K]2 years ago
6 0

The height of the actual house is 26'.26" .

<h3>How to find the height of the house using ratio?</h3>

A ratio indicates how many times one number contains another.

Therefore, the heights will form a similar length. Therefore, the corresponding length have the same ratios.

Therefore,

height of Kelly / x = height of Kelly shadows / height of house shadow

Hence,

where

x = actual height of the house

5.4 / x = 8.7 / 42.3

cross multiply

42.3 × 5.4 = 8.7x

Therefore,

228.42 = 8.7x

divide both sides by 8.7

228.42 / 8.7 = 8.7x / 8.7

x = 26.2551724138

Therefore, the height of the actual house is 26'.26"

learn more on ratio here: brainly.com/question/20849502

#SPJ1

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Each time, you multiply both sides by the denominator.

Hope this helps :)
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3 years ago
What is 55 percent of 160?
Maurinko [17]

Answer: 88

Step-by-step explanation: To find 55% of 160, first write 55% as a decimal by moving the decimal point two places to the left to get .55.

Next, the word "of" means multiply, so we have (.55) x (160).

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Therefore, 55% of 160 is 88.

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3 years ago
The theater sells two types of tickets: adult tickets for $15 and
UkoKoshka [18]

Answer:

68

Step-by-step explanation:

Let x=adult tickets and y=child tickets

1) 15x+11y=1889

2) x+y=147

multiply equation 1 by -1/11 on both sides to get:

-(15/11)x-y=-171.73

add new equation with equation 2 to get

-4/11x=-24.73

Isolate x to get:

x=67.99999

Round up to get 68 adult tickets

6 0
3 years ago
One base of a trapezoid is five times as long as the other. The height is the average of the two bases. The area is 441 square u
Gelneren [198K]

Answer:

The length of the longer base he 35 units

Step-by-step explanation:

Here, we want to find the length of the longer base of the trapezoid

Mathematically, we can find the area using the formula;

1/2( a + b) h

where a is the shorter base

b is the longer base

h is the height

Let the shorter base be x

The other base is 5 times this length and that makes 5 * x = 5x

Height is the average of both bases;

(x + 5x)/2 = 6x/2 = 3x

Substituting these in the formula, we have ;

1/2(x + 5x)3x = 441

3x(6x) = 882

18x^2 = 882

x^2 = 882/18

x^2 = 49

x^2 = 7^2

x = 7

But the longer base is 5x and that will be 5 * 7 = 35 units

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3 years ago
Read 2 more answers
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