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KonstantinChe [14]
3 years ago
12

Show your work please!!!!!

Mathematics
1 answer:
sineoko [7]3 years ago
3 0

Answer:

67.5π m²

Step-by-step explanation:

See the diagram given with the question.

The angle moved by the radius line about the center to cover the shaded region is 300°.

As the radius(r) is known to be 9 m.

So, the area of the full circle is πr² = π × (9)² = 81π m².

Now, to cover the whole circle the radius line has to rotate 360° about the center.

Hence, for rotation of 360° the area obtained is 81π m².

Then for rotation of 300° the area obtained will be \frac{81\pi \times 300}{360} = 67.5\pi m². (Answer)

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When the outliers are removed, how does the mean change? dot plot with 1 on 50, 1 on 76, 1 on 78, 2 on 79, 1 on 80, 1 on 81, 2 o
Arturiano [62]
Answer: The mean increases by 3

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

The original data set is 
{50, 76, 78, 79, 79, 80, 81, 82, 82, 83}

The outlier is 50 because it is not near the group of values from 76 to 83 which is where the main cluster is.

The original mean is M = (50+76+78+79+79+80+81+82+82+83)/10 = 77

If we take out the outlier 50, the new mean is N = (76+78+79+79+80+81+82+82+83)/9 = 80

So in summary so far
old mean = M = 77
new mean = N = 80

The difference in values is N-M = 80-77 = 3

So that's why the mean increases by 3

5 0
3 years ago
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What is the diameter and radius of a circle with a circumference of 78?
Flura [38]

Answer:

D:24.83

Step-by-step explanation:

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What is 30% of 90? It didn't give me options. ​
ra1l [238]

Answer:

27

Step-by-step explanation:

To find a percent of a number, change the percent to a decimal and multiply by the number. To change a percent to a decimal, move the decimal point of the percent two places left.

30% of 90 =

= 30% * 90

= 0.30 * 90

= 27

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For the function y = x + 4, what is the output value if 3 is the input value?
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According to the data given above; x= 3..

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7 0
2 years ago
The width of a rectangle varies inversely with the length of the rectangle. The width is 4
Effectus [21]

If the <em>width </em>(4) of a <em>rectangle </em>varies inversely as its <em>length </em>(12), the equation that represents the inverse variation is: B. \mathbf{y = \frac{48}{x} }

<em><u>Recall:</u></em>

An inverse proportion relationship is represented with the equation, y = k/x.

k is the constant, which is: k = xy

<em><u>Given:</u></em>

Width varies inversely with the length of a rectangle, if:

width = 4

length = 12

The constant, k = (4)(12)

k = 48

To write the equation that matches the scenario given, plug in the value of k = 48 into y = k/x, which is:

\mathbf{y = \frac{48}{x} }

Therefore, if the <em>width </em>(4) of a <em>rectangle </em>varies inversely as its <em>length </em>(12), the equation that represents the inverse variation is: B. \mathbf{y = \frac{48}{x} }

Learn more here:

brainly.com/question/13345186

3 0
3 years ago
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