Answer:
total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Step-by-step explanation:
The compound solid looks like it's made up of a cylinder with a base with 10 cm diameter and height of 12 cm and a half sphere with radius 10 cm.
volume of cylinder: (pi)(r^2)h
volume of sphere: (4/3)(pi)r^3
total volume = (pi)(r^2)h + (1/2)(4/3)(pi)r^3
We are given a diameter of 10 cm, so the radius is 5 cm since r = d/2.
total volume = (pi)[(5 cm)^2](12 cm) + (2/3)(pi)(5 cm)^3
total volume = 300pi cm^3 + (250/3)pi cm^3
exact total volume = (1150/3)pi cm^3
approximate total volume = 1204 cm^3
Answer:
5^7
Step-by-step explanation:
To rewrite the expression, you use the laws of exponents.
Using the law of exponents of division, you subtract the exponent of the smaller value (5^3) from the larger value (5^10).
Your expression would now be this:
5^10-3
Since the bases have the same value (5), they remain the same.
As a result of 5^10-3, you would get 5^7 as your answer.
To check that both are equivalent to each other you solve and find the values of both expressions.
5^7=78125
5^10/5^3=78125
5^7=5^10/5^3
Answer:
the slope is 6/1
Step-by-step explanation:
You count how many units up or down in between points (the black dots) and then how many left or right. In this case I went from (0,-1) and went up 6, then right 1. So the slope would be 6/1.
Hope this helps :)
It is 0 because y (sin) divided by x(cos) is 0
Answer:
Height of summit = 4300 ft
Explanation:
Let the height of summit be h.
After 3 hours, he is 2500 feet from the summit,
Height traveled = (h - 2500)
Time taken = 3 hours
Speed = (h-2500)/3
After 5 hours, he is 1300 feet from the summit
Height traveled = (h - 1300)
Time taken = 5 hours
Speed = (h-1300)/5
Here speed is same, so we have
Height of summit = 4300 ft
