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svet-max [94.6K]
3 years ago
9

What is the missing output value in the function table below

Mathematics
1 answer:
elena-s [515]3 years ago
8 0

Answer:

2

Step-by-step explanation:

It makes sense because it goes down one by one in both the input and output values

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Find the measure of each side of this triangles. Answer in exact form. ​ Find x and y
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Answer:

x = 24/√3

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Step-by-step explanation:

We are given that this is a right triangle as well as two angles and a side.

Given that the angles in a triangle add up to 180 degrees, and a right angle is 90 degrees, we can say that the missing angle is equal to

(180-90-30)  = 60 degrees

Next, given sohcahtoa, we can say that

sin(30) = opposite/hypotenuse = y/x

cos(30) = adjacent/hypotenuse = 12/x

tan(30) = opposite/adjacent = y/12

We want to only have one variable per equation so we can solve for the variable, so we can use

cos(30) = 12/x and tan(30) = y/12

Starting with cos(30) = 12/x, we can multiply both sides by x to remove the denominator to get

cos(30) * x = 12, and divide both sides by cos(30) to isolate the x and get

x = 12/cos(30). Next, cos(30) = √3/2, so we have

x = 12/(√3/2)

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x = (12/1) * (2/√3)

x = 24/√3

For y, we have

tan(30) = y/12

multiply both sides by 12 to isolate the y and remove the denominator

tan(30) * 12  = y

√3/3 * 12 = y

√3 * 4 = y

4√3 = y

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