Answer: The volume of the cylinder is 9,184.5 cubic millimeters.
Step-by-step explanation:
Hi, to answer this question we have to apply the next formula:
Volume of a cylinder (V) : π x radius ² x height
Replacing with the values given and solving for v (Volume)
V = 3.14 x 15² x 13
V = 9,184.5 mm3
In conclusion, the volume of the cylinder is 9,184.5 cubic millimeters.
Feel free to ask for more if needed or if you did not understand something
Answer:
4 (x+1.50) = $38.00
Explanation:
The family purchases 4 tickets. Each tickets cost x dollars with a purchase fee of $1.50. So we need to multiply 4 times the sum of x plus $1.50. The total cost of the tickets needs to be $38.00.
It does not say simple or compound interest.
Simple interest is rarely used these days, so assume compound.
Use the standard formula:
future value = present value*(1+rate/n)^(nt)
n=number of times interest is compounded per year (=1)
t=number of years
Plugging values,
200=100(1.09)^t
1.09^t = 2
take log
t(log(1.09))=log 2
t=log(2)/log(1.09)=0.6931/0.08618=8.04 years.
Answer:
5 times as large
Step-by-step explanation:
The ratio of the two numbers tells you how many times as large one is as the other:

Answer:
Aidan is 2 miles far from the ending point when he reaches the water station.
Step-by-step explanation:
The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:
From starting point to ending point:
(Eq. 1)

From starting point to water station:
(Eq. 2)

The distance between the water station and the ending point is:
(Eq. 3)


Hence, Aidan is 2 miles far from the ending point when he reaches the water station.