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Sever21 [200]
3 years ago
10

What is the length of XPY in terms of pie?

Mathematics
2 answers:
Tom [10]3 years ago
6 0

Answer:

A

Step-by-step explanation:

The angle subtended at the centre of the circle by arc XPY is 270°

That is 360° - 90° = 270°

arc length = circumference × fraction of circle

                 = 2πr × \frac{270}{360}

                 = 2π × 20 × \frac{3}{4}

                 = 40π × \frac{3}{4} = 30π m → A



Otrada [13]3 years ago
3 0

Answer:

The correct option is A.

Step-by-step explanation:

Given information: The radius of the circle is 20m and central angle of arc XY is 90 degrees.

The central angle of arc XPY is

\text{Central angle of arc XPY}=360-90

\text{Central angle of arc XPY}=270

Multiply this angle by \frac{\pi}{180}, to convert is into radian.

\text{Central angle of arc XPY}=270\times \frac{\pi}{180}

\text{Central angle of arc XPY}=\frac{3\pi}{2}

The formula for arc length is

l=r\theta

Where, r is radius and θ is central angle in radian.

l=20\times \frac{3\pi}{2}

l=30\pi

The length of XPY in terms of pie is 30π m. Therefore the correct option is A.

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Answer: 5/9

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According to formula: X=(-16+_sqrt(16^2-(-10•2)) / 2•2

X=5/9
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a windowpane is 5.7 Inches by 7.1 inches. what is the distance between opposite corners of the windowpane? if necessary, round t
nikitadnepr [17]

Answer:

the distance is 9.1 inches (please give brainliest)

Step-by-step explanation:

we must use the pythagorean theorem:

5.7^2 + 7.1^2 = c^2

(c being the distance being the two corners)

c^2 = 82.9

c = sqrt(82.9) ≈ 9.1

7 0
3 years ago
PLEASE HELP WILL GIVE BRAINLIEST the number of students at north middle school is 1240 and is decreasing by 25 students per year
Nikolay [14]

Answer:

-88

Step-by-step explanation:

Let N(x) be the number of students at NMS for a certain number of years.

Let S(x) be the number of students at SMS for a certain number of years.

Let x be the number of years.

N(x)=1240-25x

S(x)=800-30x

When # of students is equal, N(x)=S(x). Therefore, we are looking for the value of x (# of years) when 1240-25x=800-30x

Subtract 1240 from each side

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6 0
3 years ago
What is vaule of f^-1 (-4)
Butoxors [25]

Answer:

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Step-by-step explanation:

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3 years ago
It is known that the population variance equals 484. With a .95 probability, the sample size that needs to be taken to estimate
Hitman42 [59]

Answer:

The minimum sample size is n = 75 so that the desired margin of error is 5 or less.                          

Step-by-step explanation:

We are given the following in the question:

Population variance = 484

Standard deviation =

\sigma^2 = 484\\\sigma =\sqrt{484} = 22

Confidence level = 0.95

Significance level = 0.05

Margin of error = 5

Formula:

Margin of error =

E = z\times \dfrac{\sigma}{\sqrt{n}}\\\\n = (\dfrac{z\times \sigma}{E})^2

z_{critical}\text{ at}~\alpha_{0.05} = 1.96

Putting values, we get

E\leq 5\\\\1.96\times \dfrac{22}{\sqrt{n}} \leq 5\\\\\sqrt{n} \geq 1.96\times \dfrac{22}{5}\\\\n \geq (1.96\times \dfrac{22}{5})^2\\\\n \geq 74.373

Thus, the minimum sample size is n = 75 so that the desired margin of error is 5 or less.

3 0
3 years ago
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