Find the value of the variable(s). If your answer is not an integer, leave it in simplest radical form. x = 22, y = 11
x = 11, y = 22
x = 22, y = 11
x = 11, y = 22

D

Step-by-step explanation:

Since this is a right triangle, and we are given that one of the other angles is 30°, we have a 30°, 60°, 90° triangle.

In a 30°, 60°, 90° triangle, the side lengths are all related as shown below.

We should determine a first. a is the measure of the side opposite to the 30° angle. Thus:

The side opposite to the 60° angle is given by a√3. Since a = 11, the side opposite to the 60° angle or x is:

Finally, the hypotenuse will be 2a. Since a = 11, the hypotenuse or y will be:

Hence, x = 11√3 and y = 22.

Our answer is D.

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

answer: it's d

step-by-step explanation: