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11Alexandr11 [23.1K]
4 years ago
6

What is the volume of this rectangular prism in cubic feet?

Mathematics
1 answer:
prisoha [69]4 years ago
7 0
Question asks for answer in units of cubic feet so all dimensions must be converted from yards to feet.

ft x ft x ft = ft^3

Look up conversion: 1 yard = 3 ft

height = 2 yd * 3 = 6 ft
width = 9 ft
length = 3 yd * 3 = 9 ft

volume = 6 ft x 9 ft x 9 ft = 486 ft^3
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What is 17,210,000,000 written in scientific notation? Enter your answer in the box.
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The distance from the ground of a person riding on a Ferris wheel can be modeled by the equation d equals 20 times the sine of t
kodGreya [7K]

We have the function d, representing the distance from the ground of a person riding on a Ferris wheel:

d(t)=20\sin (\frac{\pi}{30}t)+10

If we consider the position of the person at t = 0, which is:

d(0)=20\sin (\frac{\pi}{30}\cdot0)+10=20\cdot0+10=10

This position, for t = 0, will be the same position as when the argument of the sine function is equal to 2π, which is equivalent to one cycle of the wheel. Then, we can find the value of t:

\begin{gathered} \sin (\frac{\pi}{30}t)=\sin (2\pi) \\ \frac{\pi}{30}\cdot t=2\pi \\ t=2\pi\cdot\frac{30}{\pi} \\ t=60 \end{gathered}

Then, the wheel will repeat its position after t = 60 seconds.

Answer: 60 seconds.

7 0
1 year ago
The height of a triangle is 2cm more than the base of the height is increased by 2cm while the base remains the same the new are
san4es73 [151]

Answer:

Remember that a triangle's area is bh/2, where

b = base

h = height

So. You start with a triangle of base b and height h, add 2 to the height, and get a triangle of area 82.5.

b(h+2)/2 = 82.5

b(h+2) = 165

What you want to do from here is test the b and h from the choices given, and figure out which b and h satisfy this.

(a) If b=13 and h=15, b(h+2) = 221 nope.

(b) If b=9 and h=11, b(h+2) = 117 nope.

(c) If b=11 and h=13, b(h+2) = 165 that's it!

Step-by-step explanation:

4 0
3 years ago
Felipe has 3/4 acre of land to use for a vegetable garden. He separates the land into vegetable plots that are each 1/12 acre. H
antiseptic1488 [7]

Answer:

1) The number of vegetable plot Filipe has = 9 vegetable plots

2) A number line with 1/12 divisions will give the number of 1/12 acre vegetable  plots as the number of divisions between 0 and 3/4

Step-by-step explanation:

1) The total size of the land Filipe has = 3/4 acre

The size of the vegetable plots to which he separates the land = 1/12 acre

The number of vegetable plot Filipe has = (The total size of the land Filipe has)/(The size of the vegetable plots to which he separates the land )

∴ The number of vegetable plot Filipe has = (3/4)/(1/12) = 9

The number of vegetable plot Filipe has = 9 vegetable plots

2) The number line can be used to model the situation by having the number line that has divisions of 1/12 unit and counting the number of 1/12 divisions between the zero (0) mark and the three quarter (3/4) mark

3 0
3 years ago
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