9514 1404 393
Answer:
2.1 ft³
Step-by-step explanation:
Put the given radius and height into the volume formula and do the arithmetic.
V = 1/3πr²h
V = 1/3(3.14159)(1 ft)²(2 ft) ≈ 2.094 ft³
Rounded to tenths, this is 2.1 cubic feet.
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The picture cuts off your rounding requirements. If it is hundredths, you need to use 2.09 ft³. If it is thousandths, your answer will depend on the value of pi you are asked to use.
A) One tenth is equal to 0.1, so you do 830,000 x 0.1 to get 83,000 people. You can also do 830,000 divided by 10 to get the same answer since it is one-tenth.
B) You can divide 5280 by 4 to find the answer of this one.
C) Divide by 4 again (because it is a fourth), but then multiply by three because the question asks for three-fourths.
D) A minute is 60 seconds, so 60 divided by 3 is 20. Given that it asks for two-thirds, you then multiple 20 by 2 to get the final answer of 40 seconds.
E) There are 24 hours in a day, so divide 24 by 8.
Hopefully this helps "get the ball rolling" for you!
Answer:
x = 5
Step-by-step explanation:
6 + 8(x - 1) = 2(3x + 4)
We evaluate the numbers in the brackets first.
(8 × x = 8x, 8 × 1 = 8, 2 × 3x = 6x, 2 × 4 = 8)
6 + 8x - 8 = 6x + 8
The left hand side of the equation is not exactly simplified, so we will evaluate it further first.
(6 - 8 = -2)
8x - 2 = 6x + 8
Now we can start shifting the x and the numbers separately.
Note that when pushing 6x from the right side to the left side, it needs to change to a negative 6x and vice versa for -2 turning into +2.
8x - 6x = 8 + 2
Further evaluation
2x = 10
Now we can simply find x.
Note that for this, ×2 becomes ÷2 when it shifts from the left side to the right side of the equation.
x = 10 ÷ 2
Evaluate.
x = 5
268 kilometers=166.527 round to the nearest hundredth=<span>166.53</span>
Answer:
radius = circumference / (2 * PI)
radius = 5.8378033126
Circle Area = PI * radius^2
Circle Area = PI * 5.8378033126^2
Circle Area = PI * 34.0799475167
Circle Area = 107.07 square units
Step-by-step explanation:
