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lakkis [162]
3 years ago
11

A sector with a radius of 15 cm has a central angle measure of 8pie/5

Mathematics
1 answer:
Citrus2011 [14]3 years ago
3 0

Answer:

The area of the sector is 180\pi \ cm^2.

Step-by-step explanation:

We have,

Radius of circle is 15 cm

Central angle is \dfrac{8\pi}{5}\ \text{radian}

It is required to find the area of the sector. The formula used to find the area of sector is given by :

A=\dfrac{1}{2}r^2\theta

Plugging all the values in above formula as :

A=\dfrac{1}{2}\times 15^2\times \dfrac{8\pi}{5}\\A=180\pi \ cm^2

So, the area of the sector is 180\pi \ cm^2.

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The table below shows data from a survey about the amount of time students spend doing homework each week. The students were in
nadezda [96]

Answer:

The correct option is;

Both spreads are best described by the standard deviation

Step-by-step explanation:

The given information are;

,                                    College                       High School

High,                              20                               20

Low,                                6                                 3

Q₁,                                   8                                 5.5

Q₃,                                  18                                16

IQR,                                 10                                10.5

Median,                           14                                11

Mean,                              13.3                             11

σ,                                      5.2                             5.4

Checking for outliers, we have

College

Q₁ - 1.5×IQR gives 8 - 1.5×10 = -7

Q₃ + 1.5×IQR gives 18 + 1.5×10 = 33

For high school

Q₁ - 1.5×IQR gives 5.5 - 1.5×10.5 = -10.25

Q₃ + 1.5×IQR gives 16 + 1.5×10.5 = 31.75

Therefore, there are no outliers and the data is representative of the population

From the data, for the college students, it is observed that the difference between the mean, 13.3 and Q₁, 8, and between Q₃, 18 and the mean,13.3 is approximately the standard deviation, σ, 5.2

The difference between the low and the high is also approximately 3 standard deviations

Therefore the college spread is best described by the standard deviation

Similarly for the high school students, the IQR is approximately two standard deviations, the  difference between the mean, 11 and Q₁, 5.5, and between Q₃, 16 and the mean,11 is approximately the standard deviation, σ, 5.4

Therefore the high school spread is also best described by the standard deviation.

4 0
3 years ago
Triangle PIG was rotated to create triangle P'I'G'. Describe the transformation using details and degrees.
insens350 [35]
The rotation of the triangle is 270 degrees clockwise, or 90 degrees counterclockwise. Most commonly, clockwise measurements are used when it comes to rotations.

I hope this helped. Let me know if I was correct please.
6 0
3 years ago
What would normal body temperature be?
jenyasd209 [6]

Answer: The average normal body temperature is generally accepted as 98.6°F (37°C). Some studies have shown that the "normal" body temperature can have a wide range, from 97°F (36.1°C) to 99°F (37.2°C). A temperature over 100.4°F (38°C) most often means you have a fever caused by an infection or illness.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Based on the table, which best predicts the end behavior of the graph of f(x)?
Yuki888 [10]

Answer: A. As x → ∞, f(x) → ∞, and as  x → –∞, f(x) → ∞.

6 0
3 years ago
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Triangle ABC had a perimeter 18 cm
Anna007 [38]

Answer:

Use pythagoreum theorem to determine whether it is or isn't since I'm not really sure myself but here's my calculations.

Step-by-step explanation:

We need to find AC.

Picture a triangle called ABC. AB is one side and BC the other while AC is the hypotenuse.

AC=

ac =  \sqrt{ab ^{2}  +  {bc}^{2} } \\ ac = \sqrt{ {7}^{2} }  +  {3}^{2}  \\ ac =  \sqrt{49 + 9}  \\ ac =  \sqrt{58 }  \\ ac = 7.6

Round up the 7.6 to a whole number and you get AC=8. To get perimeter of a triangle simply add the sides together to get 18.

Not really sure about my answer but hope this helped.

5 0
2 years ago
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