Answer: she would catch up with Tom in 1 hour.
Step-by-step explanation:
Let t represent the time it will take for Mary to catch up with Tom.
Tom leaves his boat from a dock and travels at a rate of 25 miles per hour.
Distance = speed × time
Distance travelled by Tom in t hours is
25 × t = 25t
Ten minutes later, Mary leaves the same dock in her speedboat and heads after Tom. Converting 10 minutes to hours, it becomes 10/60 hour
Time spent by Mary is (t - 10/60) hours. If she travels at a rate of 30 miles per hour, it means that the distance that she would travel in
(t - 10/60) hours is
30(t - 10/60)
= 30t - 5
By the time she catches up with Tom, they would have covered the same distance. It means that
25t = 30t - 5
30t - 25t = 5
5t = 5
t = 5/5 = 1 hour
Translation does not affect angles or side lengths. Sides that are parallel before translation remain parallel after translation.
The only parallel sides in this figure are AD and BC, so the only reasonable choice is ...
... A'D' ║ B'C'
Answer:
3. = 100 answer: A.10
Step-by-step explanation:
10 x 10 =100
The group of seventh graders will have 5 groups of five: 5 is the greatest multiple of 25, or 5*5=25. Then for the sixth graders there will be 4 groups of 5: because 4&5 are the greatest factors of 20 and you want the most amount of kids per group, you would have 5 kids in each group. Hope this helps.
Using it's concept, it is found that the inverse function is , and the domain is .
<h3>How to find the inverse function?</h3>
The inverse of a function y = f(x) is found <u>exchanging x and y and isolating y</u>. The domain of the inverse is the range of the original function f(x).
In this problem, the function is:
y = 9 - x²
Then, we exchange and isolate y, hence:
The domain is , as looking at the graph of y = 9 - x², the range is .
More can be learned about inverse functions at brainly.com/question/8824268
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