Answer:
40 problems in 100 minutes
Step-by-step explanation:
This is a ratio problem.
You first divide 30 minutes by three to get how many problems she can do in 10 minutes. What you do to one side you do to the other side. So then, you should have 4 problems in 10 minute. Then, you multiply 10 by 10 and 4 by 10 to get 40 problems in 100 minutes.
Answer:
180 degree clockwise rotation about center and a dilation of 0.5.
Sebastian ran 1.44 miles in the last 24 minutes. First, divide 8.64 by 2.4 to get 3.6 miles per hour. Since the question is asking for the last 24 minutes, divide 3.6 by 60 which gives you 0.06. Then, just multiply the rate per minute by 24 which gives you how many miles he ran in the last 24 minutes of his run.
Average rate of the function: 3
Step-by-step explanation:
The function in this problem is

The average rate of change of a function over an interval
is given by

where
are the values of the function calculated in
respectively
For the function in this problem we have:
, so

, so

So, the average rate of change is

Learn more about rate of change:
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Answer:
9) C: x=4, y=2rt3
10) A: XY/YZ
11) A: XY/XZ
Step-by-step explanation:
9 - that is a 30, 60, 90 triangle so the ratios will be a, root3a, 2a
10 - tan = opposite / adjacent
11 - cos = adjacent/hypotenuse