Answer:
5 5/8 miles per hour
Step-by-step explanation:
Martin can run 3 ¾ miles in 2/3 of an hour. Write a unit rate to describe the situation and explain the context.
We are asked to write the unit rate , this means we are to find out how many miles he can run per hour
Hence,
2/3 hour = 3 3/4 miles
1 hour = x
Cross Multiply
2/3 hour × x = 3 3/4 miles × 1 hour
x = 3 3/4 miles × 1 hour/ 2/3 hour
x = 3 3/4 ÷ 2/3
x = 15/4 ÷ 2/3
x = 15/4 × 3/2
x = 45/8
x = 5 5/8 miles per hour
Hi there!
**Recall that tangent is Opposite / Adjacent**
tan (5π / 6) according to the unit circle equals -1 / √3. We can go through each choice and eliminate:
- tan (-5π / 6) is in the third quadrant which would mean that the value would be positive 1 / √3. This choice is incorrect.
- tan (7π / 6) is the same as tan (-5π / 6), which is positive 1 / √3. This choice is incorrect.
- cot (5π / 6) is the reciprocal of tan 5π / 6, which is incorrect.
- tan (-π / 6) is equal to -1 / √3. This choice is correct.
Therefore, the correct choice is tan (-π / 6).
Hello from MrBillDoesMath!
Answer:
2 * (Pi r^2) + (Pi r^2)*h
where r = C/(2 Pi)
Discussion:
Total surface area of cylinder =
area of bottoms + surface area of cylinder =
2 * area of base + (area of base) * h
Generally, C = 2 Pi r, so r = C/(2 Pi) is known as we are given C. . Plugging this in the above equation gives
2 * (Pi r^2) + (Pi r^2)*h
Thank you,
MrB
It is 91/32 or 2 27/32 or 2.84375
