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garri49 [273]
4 years ago
10

What is the total area of a rectangular prism with a height of 10 feet, a width of 6 feet, and a thickness of 4 feet? A. 240 ft2

B. 248 ft2 C. 950 ft2 D. 592 ft2
Mathematics
2 answers:
Artyom0805 [142]4 years ago
8 0
Your answer would be B. 247 ft².
This is because if you draw the prism out, you can use the dimensions to find the individual surface areas, and then add them together.

So you would do 10 × 6 = 60, and then multiply it by 2 as there are two of each side to get 120 ft².
6 × 4 = 24, and then multiplied by 2 = 48 ft².
10 × 4 = 40, multiplied by 2 = 80 ft².

Then when you add together 120, 80, and 48, you get 248 ft².
I hope this helps!
Leno4ka [110]4 years ago
4 0

A = 2( wh + lw+ lh)

= 2( 6 *10 + 4*6 + 4*10)

= 2* 124

= 248

The answer therefore is B, 248 ft^2

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Express 2x+1/(x-2)(x²+1) as a partial fraction.

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Match numerators

2x+1 = (A+B)x^2+(C-2B)x+A-2C

Match coefficients,

A+B = 0 ..................(1)

-2B+C = 2 .................(2)

A-2C = 1 ...................(3)

Solve for A, B and C

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B = -2C-1  ....................(4)

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simplify

5C = 2-2 = 0

C=0  ..........................(5)

substitute (5)  in (4)

B = -2C-1 = -1  ...............(6)

Substitue (6) in (1)

A+(-1) = 0

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Using values from (7), (6) and (5) to substitute in (0)

we get

(2x+1) / ( (x-2)(x^2+1) ) = 1/(x-2) - x/(x^2+1)

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