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bulgar [2K]
3 years ago
9

What is the area of sector with a central angle of 160 and a diameter of 5.8 m? Round the answer to the nearest tenth.

Mathematics
1 answer:
Blizzard [7]3 years ago
4 0

Answer:

A=11.7\ m^2

Step-by-step explanation:

Given that,

Central angle, \theta=160^{\circ}

Diameter,d = 5.8 m

Radius, r = 2.9 m

We need to find the area of sector. The formula for the area of sector is given by :

A=\dfrac{\theta}{360}\times \pi r^2\\\\=\dfrac{160}{360}\times 3.14\times 2.9^2\\\\=11.7\ m^2

So, the area of a sector is equal to 11.7\ m^2.

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5 0
3 years ago
Suppose that IQ scores have a bell-shaped distribution with a mean of 99 and a standard deviation of 14. Using the empirical rul
algol [13]

Answer:

About 99.7% of the IQ scores would be between 57 and 141.

Step-by-step explanation:  

The Empirical Rule about a bell-shaped curve states that :

  • 68% of the data lies within one standard deviation of the mean (both left-side and right-side)
  • 95% of the data lies within two standard deviations of the mean (both left-side and right-side)
  • 99.7% of the data lies within three standard deviations of the mean (both left-side and right-side)

Now, we need to find what percentage of IQ scores lies between 57 and 141 : Mean = 99 and standard deviation = 14

141 – 99 = 42

              = 3 × 14

Thus, 141 is 3 standard deviations to the right of the mean.

99 – 57 = 42

              = 3 × 14

Thus, 57 is 3 standard deviations to the left of the mean.

Since 57 to 141 is within 3 standard deviations of the mean, and according to empirical formula stated above : about 99.7% of the IQ scores would be between 57 and 141.

8 0
3 years ago
What's the value of x
algol13
X=83 degrees. This is because it is corresponding with angle 83 degrees. Corresponding angles are congruent.
5 0
3 years ago
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Dang it these are tricky for me can somebody help?
erica [24]

Answer:

It has no perfect square factors, unless you count 1 = 1^2. That's sort of a degenerate case we don't usually count, since every integer has that factor. We would usually say that 1290 is a square-free integer. Hope this helps!!

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4 years ago
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valkas [14]
Xy+24=x22 that is the answer hope it helps
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