Answer:
a. 125
b. 25/64
c. 0.25
d. 343
e. 49/4
f. 0.81
Step-by-step explanation:
multiply by the same number by the amount of times the power tells you
b. 5*5 = 25 8*8= 64
c. 5*5 = 25 0.5*0.5 = 0.25
d. 7*7*7 = 343
e. 7*7 = 49 2*2= 4
f. 9*9 = 81 0.9*0.9= 0.81
Answer:
6 feet
Step-by-step explanation:
Let x represent the length of "another side." Then "one side" is ...
2x -10 . . . . . . 10 feet shorter than twice another side
The sum of these two side lengths is half the perimeter, so is ...
x + (2x -10) = 14 . . . . . two sides are half the perimeter
3x = 24 . . . . . . . . . . . . add 10, collect terms
x = 8 . . . . . . . . . . . . . . .divide by the coefficient of x
(2x -10) = 2·8 -10 = 6 . . . . find "one side"
We have found "one side" to be 6 feet long, and "another side" to be 8 feet long. The shorter side is 6 feet.
I assume you mean: Order the following from least to greatest:
17/9, 15 divided by 6, 30, and 3^3
17/9 = 1 8/9
15/6 = 2 1/2
3^3 = 9
So it would be: 17/9, 15 divided by 6, 3^3, and 30
Make necessary adjustments if it was actually 6/30; the wording was confusing.
X + 8x = 81
9x = 81, x = 9
y = 8(9), y = 72
Solution: (9, 72)
The volume of the cone is: A. 213 ft³.
<h3>Volume of a Cylinder and a Cone</h3>
- Volume of cylinder = πr²h.
- Volume of cone = ⅓πr²h.
Given:
radius and height of both the cylinder and the cone are equal.
Volume of Cylinder = 639 ft³
Therefore:
πr²h = ⅓πr²h
This means that volume of cone would be ⅓ of the volume of the cylinder.
Volume of cone = ⅓(639) = 213 ft³
Therefore, the volume of the cone is: A. 213 ft³.
Learn more about volume of cone on:
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