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3 years ago

Find the missing side

Mathematics

1 answer:

ANTONII [103]3 years ago

8 0

Answer:

x = 74.3 units

Step-by-step explanation:

$\frac{30}{x}$ = tan 22

x = $\frac{30}{tan 22}$ = 74.2526056 units

x = 74.3 units (answer rounded up to nearest tenth).

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Find the exact value of x p

ziro4ka [17]

Answer:

x = 9.6

Step-by-step explanation:

sin Q = 16/20 Q = 53.13° from the big triangle

16/20 = x/12

192 = 20x

x = 9.6

3 0

3 years ago

What is the fraction and the percent of the shaded part in each square?

elena-14-01-66 [18.8K]

Answer:

Part a) The fraction is $\frac{5}{9}$

Part b) The percent is $55\frac{5}{9}\%$

Step-by-step explanation:

Part a)

Find the fraction

we know that

To find the fraction of the shaded part in the square divide the number of shaded squares by the total number of squares

Let

x-------> the number of shaded squares

y-------> the total number of squares

f-------> the fraction of the shaded part

$f=\frac{x}{y}$

In this problem we have

$x=20\ shaded\ squares$

$y=36\ total\ squares$

substitutes

$f=\frac{20}{36}$

Simplify

$\frac{20}{36}=\frac{5}{9}$

Part b) Find the percent

To find the percent multiply the fraction by 100

$\frac{5}{9}*100=\frac{500}{9}\%$

convert to mixed number

$\frac{500}{9}=\frac{495}{9}+\frac{5}{9}=55\frac{5}{9}\%$

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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