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neonofarm [45]
3 years ago
9

What is this answer 16^(3/2)?

Mathematics
1 answer:
My name is Ann [436]3 years ago
7 0
16^ (3/2) is 64....................
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Find the surface area of the prism.
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can someone please solve this? I clicked on homework help and it wasn't much help. I'm trying to turn in as much missing assignm
MA_775_DIABLO [31]

Answer:

  • One proportion to solve is 8/18 = x/8
  • Exact answer as a fraction: x = 32/9
  • Approximate answer in decimal form: x = 3.556

In reality, the 5's go on forever, but we have to round off somewhere.

========================================================

Explanation:

Break up the triangles as your teacher recommends. See the diagram below as to what I mean.

The smaller triangle has A = 8 as the horizontal side, and B = x as the vertical side

The larger triangle has C = 10+8 = 18 as the horizontal aside, and D = 8 as the vertical side.

We can form the proportion A/C = B/D.

A/C connects the horizontal sides (small/large) while B/D has the vertical sides tied together. The order of division is the same small over large. You could do large over small, but make sure you keep both sides consistent.

-----------------

Let's solve for x

A/C = B/D

8/18 = x/8

8*8 = 18*x .... cross multiply

64 = 18x

18x = 64

x = 64/18 .... divide both sides by 18

x = 32/9  exactly in fraction form

x = 3.556 approximately in decimal form

-------------------

Another proportion you can solve is A/B = C/D and you should get the same x value. It's the same as A/C = B/D because the B and C swap places. There are many other approaches you could take using different proportions.

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Jami is trying to model the movement of a tire. In order to properly model the movement, she is going to focus on the movement o
USPshnik [31]

From the given data it is clear that the amplitude of the wave will be 9 inches.

It is also clear that the speed of rotation, ω, will be: \omega=\frac{2\pi}{T}=\frac{2\pi}{8}=\frac{\pi}{4}

Now, it is given that the nozzle is on the right side of the tire and that position is going to be treated as the equilibrium position, the tire is then rotated such that the nozzle goes up at the beginning of the rotation. This condition is possible only when we have a Sine (Sin) function.

Thus, our final answer can be arrived as:

Amplitude\times Sin(\omega t)

9\times sin(\frac{\pi}{4}t) =9sin(\frac{\pi}{4}t)

Thus, out of the given options, option B is the correct answer.


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$0.10 since you divide the price by the fluid ounce. (1.19/12=0.991...)
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