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slamgirl [31]
3 years ago
15

A right prism has a rhombus as a base. the height of the prism is 6 inches and the volume is 144 cubic inches. which could be th

e lengths of the diagonals of the rhombus? 2 in. by 12 in. 4 in. by 11 in. 6 in. by 8 in. 8 in. by 9 in.
Mathematics
2 answers:
Crank3 years ago
8 0

Answer: Third option is correct.

Step-by-step explanation:

Since we have given that

Volume of right prism = 144 cubic inches

Right prism has a rhombus as a base.

Height of the prism = 6 inches

As we know the formula for "Volume of right prism":

Volume=\text{Area of base}\times height\\\\144=\frac{1}{2}\times d_1\times d_2\times 6\\\\\frac{144\times 2}{6}=d_1\times d_2\\\\48=d_1\times d_2

By option we get that

lengths of diagonals could be 6 inches by 8 inches

∵ 8×6 = 48 in²

Hence, Third option is correct.

Alex3 years ago
5 0
The answer is C 6in by 8 in. 
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The average number of traffic tickets issued in a city on any given day
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The most tickets were written on Saturday .On Saturday 325 tickets were issued

Step-by-step explanation:

The average number of traffic tickets issued in a city on any given day  Sunday-Saturday  can be approximated by

T(x) = -6x^2 + 84x + 37

Where  x represents the number of days after Sunday

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Sunday = x=0

Monday = x=1

Tuesday = x=2

Wednesday = x=3

Thursday = x =4

Friday = x=5

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Substitute  x= 0

T(x) = -6x^2 + 84x + 37\\T(x) = -6(0)^2 + 84(0) + 37\\T(x)=37

On Sunday 37 tickets were issued

Substitute  x= 1

T(x) = -6x^2 + 84x + 37\\T(x) = -6(1)^2 + 84(1) + 37\\T(x)=115

On Monday 115 tickets were issued

Substitute  x= 2

T(x) = -6x^2 + 84x + 37\\T(x) = -6(2)^2 + 84(2) + 37\\T(x)=181

On Tuesday 181 tickets were issued

Substitute  x= 3

T(x) = -6x^2 + 84x + 37\\T(x) = -6(3)^2 + 84(3) + 37\\T(x)=235

On Wednesday 235 tickets were issued

Substitute  x= 4

T(x) = -6x^2 + 84x + 37\\T(x) = -6(4)^2 + 84(4) + 37\\T(x)=277

On Thursday 277 tickets were issued

Substitute  x= 5

T(x) = -6x^2 + 84x + 37\\T(x) = -6(5)^2 + 84(5) + 37\\T(x)=307

On Friday 307 tickets were issued

Substitute  x= 6

T(x) = -6x^2 + 84x + 37\\T(x) = -6(6)^2 + 84(6) + 37\\T(x)=325

On Saturday 325 tickets were issued

Hence the most tickets were written on Saturday .On Saturday 325 tickets were issued

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