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3 years ago

What is the approximate value of y - x

Mathematics

2 answers:

densk [106]3 years ago

8 0

Answer:

D) y -x = Approximate 17.1 degree.

Step-by-step explanation:

Given : Triangle .

To find : Approximate value of y - x.

Solution : We have given a right angle triangle with

Opposite side = 19.1 in.

Adjacent side = 14 .1 in.

Tan( y ) = $\frac{Opposite}{adjacent}$ .

Plug the values

Tan( y ) = $\frac{19.1}{14.1}$ .

tan(y) = 1.354.

Taking tan inverse both sides.

y = $tan^{-1}(1.354)$ .

y = 53.55 degree.

Now, by the sum of angle of triangles is 180 degree.

Angle c + angle y + angle x = 180.

Plug the variable

90 + 53.55 + x = 180.

83.55 + x = 180

On subtracting both sides by 83.55

x = 36.45 degree

Then ,

y - x = 53 .55 - 36 . 45

y - x = 17.2

Approximate 17.1 degree

Therefore, D) y -x = Approximate 17.1 degree.

grin007 [14]3 years ago

4 0

Answer:

17.2°

Step-by-step explanation:

using the tangent ration in the right triangle

tan y° = $\frac{opposite}{adjacent}$ = $\frac{19.1}{14.1}$ , hence

y = $tan^{-1}$ ( $\frac{19.1}{14.1}$ ) ≈ 53.6°

tan x° = $\frac{14.1}{19.1}$ , hence

x = $tan^{-1}$ ( $\frac{14.1}{19.1}$ ) ≈ 36.4°

y - x = 53.6° - 36.4° = 17.2°

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Explanation:

Let p(x) = 2x^2 - 2x - 12

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Compare x+3 = x-(-3) to x-k to find that k = -3.

Plug x = -3 into the function

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p(-3) = 2(-3)^2 - 2(-3) - 12

p(-3) = 12

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Answer:

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Step-by-step explanation:

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Shane and Abha earned a team badge that required their team to collect no less than 2000 cans for recycling, this means that

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