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DedPeter [7]
3 years ago
13

A spherical water tank holds 7,500 ft3 of water. What is the diameter of the​ tank?

Mathematics
1 answer:
Alisiya [41]3 years ago
4 0

Answer: 2r=d

d=24.28590063

Step-by-step explanation:

vsphere=4/3pir^3

7500=4/3pir^3

times both sides by 3

22500=4pir^3

divide both sides by 4

5625=pir^3

divide bot sides by pi

1790.4931=r^3

cube root both sides

12.142950=r

2r=d

d=24.28590063 ft

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Find three consecutive integers for which 3 times the sum of the first and third integers is -342.
ikadub [295]

Answer:

<h3>              -58, -57, -56</h3>

Step-by-step explanation:

x       - the first of consecutive integers

x+1   - the second of consecutive integers

x+2  - the third of consecutive integers

x+x+2  - sum of the first and third integers

3(x+x+2)  - three times the sum of the first and third integers

3(x+x+2) = -342

  ÷3             ÷3

2x + 2 = -114

  -2            -2

 2x = -116

 ÷2     ÷2

   x = -58

x+1 = -58 + 1 = -57

x+2 = -58 + 2 = -56

3 0
3 years ago
Find the 26th term in the arithmetic sequence: 20, 26, 32, 38, ...
Dafna11 [192]

Answer:

170

Step-by-step explanation:

20 + (26 - 1)6

= 20 + (25)6

= 20 + 150

= 170

3 0
3 years ago
Can anyone explain this.
Nataly_w [17]

Step-by-step explanation:

answer is 96 because it said If x+y=24 so you will add the sides of the polygon and you will get you answer

8 0
3 years ago
PLEASE SOLVE QUESTION 13 AND 14 <br>DONT STEAL THE POINTS ​
Varvara68 [4.7K]

Answer:

See below for solution.

Step-by-step explanation:

Q13) \frac{\sqrt{11} - \sqrt{5} }{\sqrt{11}+\sqrt{5}  } = x - y\sqrt{55}

<u>LHS :-</u>

= \frac{\sqrt{11} - \sqrt{5} (\sqrt{11}-\sqrt{5})  }{\sqrt{11}+\sqrt{5} (\sqrt{11}-\sqrt{5})  }

= \frac{11-2\sqrt{55}+5 }{11 - 5}

= \frac{16-2\sqrt{55} }{6}

= \frac{2(8-\sqrt{55}) }{2(3)}

= \frac{8-\sqrt{55} }{3}

=> x = 8/3 and y = 1/3

=> <u>Option B</u>

<u></u>

<u></u>Q14) \frac{4}{216^{-2/3} } + \frac{1}{256^{-3/4} } + \frac{2}{243^{-1/5} }

= 4 x (∛216)² + (\sqrt[4]256})³ + 2 x (\sqrt[5]{243})

= 4 x 36 + 64 + 2 x 3

= 144 + 64 +6

= 144 + 70

= <u>214</u>

3 0
2 years ago
What is credit?
riadik2000 [5.3K]
The answer is option A
6 0
4 years ago
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