Answer:
15 km
Step-by-step explanation:
3 cm on the map = 5 km
3 x 3 = 9 cm
5 x 3 = 15 km
So, 9 cm on the map = 15 km
Answer:
C
Step-by-step explanation:
The volume of a cone is given by 
The volume of a cylinder is given by 
<em>Where h is the height and r is the radius</em>
The first figure is a cone with height 6 and radius 5, we can put it into the formula and find the volume:
The second figure is a cylinder with height 50 and radius 1, we can put it into the formula and find the volume:
We can see that they are equal. So answer choice C is right.
Answer:
x can be any value
Step-by-step explanation:
(5^0)^x = 1,
5^0 =1
1^x =1
X can be any value
Find the volume of the rectangular prism.
V = lwh
V = (9)(16)(4)
V = 756 ft^3
Convert to cubic yards:
1 ft^3 = 0.037037037 yd^3
756 * 0.037037037 = 28
So there are 28 cubic yards of dirt he needs.
Multiply this to 25 to find the total cost of the dirt:
28 * 25 = 700
So the project will cost $700
Answer:
see below
Step-by-step explanation:
In addition to the exponent rule ...
(a^b)^c = a^(bc)
it is helpful to know the first few powers of some small integers.
5^3 = 125
9^2 = 81
4^3 = 64
2^6 = 64
__
- 125^3 = (5^3)^3 = 5^(3·3) = 5^9
- 81^7 = (9^2)^7 = 9^(2·7) = 9^14
- (1/64)^3 = ((1/4)^3)^3 = (1/4)^(3·3) = (1/4)^9
- (1/64)^3 = ((1/2)^6)^3 = (1/2)^(6·3) = (1/2)^18
