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Andrej [43]
2 years ago
7

How many cubic yards of concrete are in a light pole caisson having a diameter of 24 inches and a

Mathematics
1 answer:
lesya [120]2 years ago
3 0

Answer:

  • C. 0.7 yd³

Step-by-step explanation:

<u>Find the volume of cylinder:</u>

  • V = πr²h

<u>Convert the dimensions into yards:</u>

  • d = 24 inches = 24/36 yards = 2/3 yards ⇒ r = 1/2d = 1/2*2/3 = 1/3 yards
  • h = 6 feet = 6/3 yards = 2 yards

<u>Find the volume by substituting the values:</u>

  • V = 3.14*(1/3)²*2 = 0.69777 ≈ 0.7 yd³

Correct choice is C

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what is the sum of an 8th term geometric series if the first term is -11, the last term is 180,224, and the common ratio is -4
Mumz [18]

The sum of n terms is given from the first term and the common ratio by

S_{n}=a_{1}\dfrac{r^{n}-1}{r-1}

For your given values of a1=-11, r=-4, n=8, the sum of 8 terms is

S_{8}=(-11)\dfrac{(-4)^{8}-1}{-4-1}=(-11)\dfrac{65535}{-5}\\\\=144177

4 0
3 years ago
Determine whether 5, 226 is divisible by 2,3,4,5,6,9, or 10.
uranmaximum [27]

Answer:

2,3,6

Step-by-step explanation:

5,226   ...(1)

unit digit=6

6 is divisible by 2,

so (1) is divisible by 2.

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so (1) is not divisible by 4.

5+2+2+6=15 divisible by 3 but not divisible by 9.

so (1) is divisible by 3 but not divisible by 9.

2×3=6,so (1) is divisible by 6.

unit digit=6≠0 or 5

so (1) is not divisible by 5 or 10.

8 0
2 years ago
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Mark bikes 4/10 of a mile in 1/5 of an hour. Find marks average speed in miles per hour.
Triss [41]

He bikes 4/10 of a mile in 1/5 of an hour

That is 4/10 miles in 1/5 hours

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6 0
3 years ago
Hank invested $50,000 in a mutual fund that earns 7% interest compounded annually. How much interest did he earn after 10 years?
anastassius [24]

Answer:

F $35,000

Step-by-step explanation:

3,500 is 7% of 50,000 3500 multiplied by 10 years= 35,000

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Step-by-step explanation:

as diameter=50 yards

radius (r)=50/2=25 yards

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π=22/7

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1974.285714

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3 years ago
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