For the right triangles below find the exact values of the side lengths C and D.

Step-by-step explanation:

For the fist triangle:

Hypotenuse is 5*2=10 because 5 is opposite lin of 30 degrees.

C^2=10^2-5^2=100-75

C=5\sqrt{3}

2nd triangle:

We have two angles of 45deegres so it is:

d^2+d^2=8^2

2d^2=64

d^2=32

d=4\sqrt(2)

describing distributions is one of the key skills you’ll need to earn a high score on the ap statistics exam. if you need proof of this, just flip through some past exam questions, which can be found at the collegeboard website. you’ll notice that the first free response question is almost always a question requiring you to look at a graph and describe it.

step-by-step explanation: just trying to get points sorry : (

- "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."