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beks73 [17]
3 years ago
12

What is the volume of the solid if a 6 inch (diameter hole is drilled all the way

Mathematics
1 answer:
Tanzania [10]3 years ago
5 0

Answer:

1,467.6 cm³

Step-by-step explanation:

Volume of the solid = volume of the rectangular prism - volume of the cylinder

= L*W*H - πr²h

L = 12

W = 10

H = 16

r = ½(6) = 3

h = 16

Plug in the values

Volume of the solid = 12*10*16 - π*3²*16

= 1,920 - 452.40

= 1,467.6 cm³

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The sum of the digits of a certain two-digit number is 7. Reversing its digits increase the number by 9. What is the number?
Elis [28]
Let the two numbers be x and y.

According to your question;

x + y = 7
10y + x = 10x + y + 9

By equation 1 ; x = 7-y

Substituting the value of x ;

10y + ( 7 -y) = 10(7-y) + y + 9

9y + 7 = 70 -10y + y + 9

9y + 7 = 70 - 9y + 9

=> 18y = 70 -7 + 9
=> 18y = 72
=> y = 4

Substituting for x ;

x = 7 - y
=> x = 7 -4
=> x = 3

Thus, x = 3 and y = 4;
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5 0
3 years ago
Read 2 more answers
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Ulleksa [173]
Parallel = has same slope
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5 0
3 years ago
What is 10 - 4 and 2/3?
Ymorist [56]
10 - 4 2/3

First, we convert mixed fraction into improper fraction.

4 2/3 = ((4*3)+2)/3 = 14/3

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10 is 10/1 and 14/3 have different denominators. 

2) Once they have the same denominator, then subtraction may be performed.

10 - 14/3 = 10 * 3/3 - 14/3 = 30/3 - 14/3 = 16/3

3) 16/3 must be simplified.

16/3 = 5 1/3

10 - 4 2/3 = 5 1/3
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Answer:

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Step-by-step explanation:

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