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3 years ago

Find the value of x. Write your answer in simplest form

Mathematics

1 answer:

Naddika [18.5K]3 years ago

6 0

Answer:

The length of the hypotenuse x = x = 16√3

Step-by-step explanation:

Given

Angle Ф = 60°

To Determine

hypotenuse = x

We know the trigonometric ratio can be defined as

cos Ф = adjacent / hypotenuse

here

Ф = 60°

The side adjacent to 60° = 8√3

Hypotenuse = x

so substituting Ф = 60°, adjacent = 8√3, and hypotenuse = x

cos Ф = adjacent / hypotenuse

cos 60° = 8√3 / x

1/2 = 8√3 / x ∵ cos 60° = 1/2

x = 2 × 8√3

x = 16√3

Therefore, the length of the hypotenuse x = x = 16√3

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$55 per gallon. 1 gallon covers 100sqft. What is the price per sqft?

marta [7]

the price is 0.55$ per square foot

Step-by-step explanation:

We can solve the problem by using the rule of three.

In fact, we know that:

1 gallon covers an area of $100 ft^2$

While the price per gallon is

$55 per gallon

This means that the price per $100 ft^2$ is $55, since 1 gallon cover $100 ft^2$

Therefore, to find the price per square foot, we can write

$\frac{55}{100}=\frac{x}{1}$

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$x=\frac{55}{100}=0.55\$$

So, the price is 0.55$ per square foot.

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3 years ago

I Need help with question 21 and 22 !

USPshnik [31]

11) First, add 74 and 43.

74+43=117

Subtract 117 from 180. Do this because this will give you the value of angle 1. This is because the sum of the angles in a triangle will always add up to 180 degrees.

180-117=63

Angle 1 = 63 degrees

Angle 2 also equals 63 degrees, because they are vertical angles.

Angle 2= 63 degrees

Now, add 63 and 79

63+79=142

Subtract 142 from 180

180-142=38

Angle 3 = 38 degrees

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First, subtract 56 from 180. Do this to find angle C. They are supplementary angles, so they will equal 180 degrees.

180-56=124

Angle C=124 degrees

Now, add 124 and 20

124+20=144

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180-144=36

The measure of angle A is 36 degrees

Hope this helped! :)

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3 years ago

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scoray [572]

Answer:

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Step-by-step explanation:

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