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Bogdan [553]
3 years ago
12

The height of a rectangular prism is 3 feet. The length and width can be expressed as x-1 and x+4. If the volume of the prism is

198 ft, find the value of x
Mathematics
1 answer:
SashulF [63]3 years ago
4 0

Answer:

Step-by-step explanation:

Volume  = 198 ft

length * width * height = 198

(x - 1) * (x + 4) * 3 = 198

(x - 1) * (x + 4)  = 198/3

(x - 1) * (x + 4) = 66

x*x + x*4 -1*x - 1*4 = 66   {Use FOIL method to multiply}

x² + 4x - x - 4 = 66

x² + 3x - 4 =66

x² + 3x - 4 - 66 = 0

x² + 3x - 70 = 0

Now factorize.

x² + 10x - 7x - 7*10 = 0

x(x +10) - 7(x + 10 ) = 0

(x + 10)(x - 7) = 0

x - 7 = 0 {x + 10 is ignored because measurement cannot be in negative}

x = 7

length = x - 1 = 7 - 1 = 6ft

Width = x + 4 = 7 + 4 = 11 ft

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first box on the left

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third box on the left

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A=36πarea= π*r*rr= 6

A=36πarea= π*r*rr= 6d=12

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the last box

C=18π

C=18πC= 2π*r

C=18πC= 2π*rr= 9

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8 0
2 years ago
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Salsk061 [2.6K]

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3 years ago
4(c + d) -3c + 5d when c=1.5 and d= -6.2
patriot [66]

Answer:

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snow_tiger [21]
Given:
right triangle
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4 0
3 years ago
??? times 4/9 is negative 8
Nitella [24]
-2/9 x 4/9 is -8
so the answer is -2/9
5 0
3 years ago
Read 2 more answers
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