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Shtirlitz [24]
3 years ago
8

Help please and explain why

Mathematics
1 answer:
andrew-mc [135]3 years ago
7 0

Answer:

9 cm tall

Step-by-step explanation:

The formula to find the volume of a cylinder is

V = pi r^2 (h)

pi r^2 is the base

Plug in the volume and the base

198 = 22 (h)

divide by 22

9 = h

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Using the net below, find the surface area of the triangular prism.
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Answer:

Hi, there! The total surface area of that prism is 118 cm^2.

Step-by-step explanation:

The three rectangles on the side are called the lateral area, and they add up to 98(I'm assuming you know how to find the area of a 2d shape), and as for the triangles on the sides, you can just use the formula which is b*h/2.

Hope this helps :)

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2 years ago
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CALCULUS: For an object whose velocity in ft/sec is given by v(t) = sin(t), what is its distance, in feet, travelled on the inte
rodikova [14]

The linked answer is wrong because that integral gives you the net displacement of the object, not the total distance.

To get the distance, you have to integrate the speed (as opposed to velocity), which involves integrating the absolute value of the velocity function.

\mathrm{distance} = \displaystyle\int_1^5 |\sin(t)| \,\mathrm dt

By definition of absolute value,

|\sin(t)|=\begin{cases}\sin(t)&\text{for }\sin(t)\ge0\\-\sin(t)&\text{for }\sin(t)

Over this particular integration interval,

• sin(<em>t</em> ) ≥ 0 for 1 ≤ <em>t</em> < <em>π</em>, and

• sin(<em>t</em> ) < 0 for <em>π</em> < <em>t</em> ≤ 5

so you end up splitting the integral at <em>t</em> = <em>π</em> as

\mathrm{distance} = \displaystyle\int_1^\pi \sin(t)\,\mathrm dt + \int_\pi^5 (-\sin(t))\,\mathrm dt

Now compute the distance:

\mathrm{distance} = -\cos(t)\bigg|_1^\pi + \cos(t)\bigg|_\pi^5

\mathrm{distance} = -(\cos(\pi) - \cos(1)) + (\cos(5) - \cos(\pi))

\mathrm{distance} = -2\cos(\pi) + \cos(1) + \cos(5) \approx 2.82

making B the correct answer.

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2 years ago
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i found it on google

6 0
3 years ago
Which of the following is a description of the data with a correlation coefficient of -0.3?
STALIN [3.7K]
The number is near zero, so it is classified as "low." Its sign is negative, so it is a ...
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6 0
3 years ago
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A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic
algol13

Answer:

The angles are 79.45, 59.02 and 41.53 degrees to the nearest hundredth.

Step-by-step explanation:

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Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

cos X =  (8.6^2 - 5.8^2 - 7.5^2) / ( -2*5.8*7.5)

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So the third angle = 180 - 79.45 - 59.02

= 41.53 degrees.

3 0
3 years ago
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