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astraxan [27]
3 years ago
7

Anyone know the answer to number 16. Plz help

Mathematics
1 answer:
skad [1K]3 years ago
8 0
Recognize that the volume can be found as follows:

(average height of trapezoid) * (8 ft)(13 ft) = 286 ft^3 total volume.

Then (8 ft)(13 ft) (ave ht of trap) = 286 ft^3.
                                                             286 ft^3
Solving for (ave ht of trap):  (ave ht) = ------------- = 2.75 ft
                                                               104 ft^2

Thus, [ 2 ft + (?) ] / 2 = 2.75 ft.  

Remove the fraction by mult. both sides by 2:  2 ft + (?) = 5.5 ft

Subtr. 2 from both sides, we get (?) = 3.5 ft

The missing dimension is 3.5 ft.
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Complete the equivalent equation for -7x-60=x^2+10x (x+ )(x+ )=0
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We have that
-7x-60=x²<span>+10x
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(x²+17x+8.5²)=-60+8.5²
(x+8.5)²=12.25
(+/-)(x+8.5)=√12.25--------> (+/-)(x+8.5)=3.5
(+)(x+8.5)=3.5------> x=-5
(-)(x+8.5)=3.5------> x=-12

therefore
(x+5)*(x+12) is equivalent to -------> -7x-60=x²+10x  

the answer is
(x+5)*(x+12)

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