Analyze the diagram below and complete the instructions that follow. find the value of x and the value of y.

C. ,    

Step-by-step explanation:

We have given a diagram of a right triangle. We are asked to find the value of x and y.

We can see that our triangle is 30,60,90 triangle.  

The smallest side is the side corresponding to 30 degree angle, that is x. The longer side is corresponding to 60 degree angle, that is y.

Since the measure of smallest side in a 30, 60, 90 triangle is half the measure of hypotenuse. Upon looking at our given triangle we can see that hypotenuse is , therefore, measure of x will be,  

Now let us find the value of y (longer side) by multiplying the length of smaller side (x) by , therefore, the measure of y will be,

Upon looking at our given choices we can see that option C is the correct choice.

part a

x     y

0     8

1     7.5

2     7

3     6.5

4     6

5     5.5  

for every hour i deducted .5 inches from the length of the candle

part b

it is a function because for every x value there is only one y value

part   c

for every x value there is only one y value

x       y

0       8

1       7.6

2       7.2

3       6.8

step-by-step explanation:

what