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mojhsa [17]
3 years ago
6

A right rectangular prism is filled to capacity with 152 cubes, each with 12 -inch long edges. What is the volume of the prism?

Mathematics
2 answers:
telo118 [61]3 years ago
8 0
The is Answer 204 inches
marshall27 [118]3 years ago
3 0
Yes the answer is 204 inches
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I kinda forgot my trig (kinda)
Ipatiy [6.2K]
\sec^2\theta=1+\tan^2\theta\implies \sec\theta=\pm\sqrt{1+\tan^2\theta}

Since \cos\theta>0 for 0, we have \sec\theta>0, so we take the positive root. Now,

\sec\theta=\sqrt{1+\left(\dfrac{12}5\right)^2}=\dfrac{13}5

- - -

\tan\theta=\dfrac{\sin\theta}{\cos\theta}
\cos^2\theta=1-\sin^2\theta

In the first quadrant, cosine is positive, so

\cos\theta=\sqrt{1-\sin^2\theta}

and in turn,

\sin\theta=\dfrac35\implies\cos\theta=\sqrt{1-\left(\dfrac35\right)^2}=\dfrac45
\implies\tan\theta=\dfrac{\frac35}{\frac45}=\dfrac34

- - -

In the previous problem, we had \cos\theta=\dfrac45, so we must have \tan\theta=\dfrac34, which means

\cot\theta=\dfrac1{\tan\theta}=\dfrac1{\frac34}=\dfrac43
5 0
3 years ago
3x + 4y = 14 x = 2y - 12 Which point satisfies both equations? A) (-2,-2) B) (-2,5) C) (-4,4) D) (2,2)
AveGali [126]

Answer:

  B)  (-2, 5)

Step-by-step explanation:

Perhaps easiest is to try the points to see what works. You can also graph the equations or solve by any of several other means.

<u>Trying the points</u>

  A) 3(-2)+4(-2) = -6 -8 = -14 ≠ 14

  B) 3(-2) +4(5) = -6 +20 = 14; -2 = 2(5) -12 = 10 -12 . . . . true

  C) 3(-4) +4(4) = -12 +16 = 4 ≠ 14

  D) 3(2) +4(2) = 6 +8 = 14; 2(2) -12 = -8 ≠ -2

__

Choice B ( -2, 5) is the only point that works in both equations.

7 0
3 years ago
Read 2 more answers
What is the value of z in the equation 4(2z + 3) = 12?
artcher [175]
First u have to expand the brackets...
4 x 2z = 8z
4 x 3 = 12
8z + 12 = 12
Then you have to get numbers on one side, and letter on the other...
8z -12 = 12-12
8z = 0
then u have to divide 8z by 8 to find 1z or just z.
z = (0/8) = 0
z=0
Hope this helps :)
7 0
3 years ago
Read 2 more answers
Find v, if u = 22, a=5, and t=3.<br> v=u+at
IgorLugansk [536]

Answer:

37= v

Step-by-step explanation:

8 0
3 years ago
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Which measure correctly completes the statement 627.532 m equal how many millimeters
lidiya [134]
We know that

1 meter is equals to---------> 1000 mm
so
627.532 m-----------> is <span>627.532*1000------> 627532 mm

the answer is
</span>627532 mm
4 0
3 years ago
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