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3 years ago

What is the length of XPY in terms of pie?

Mathematics

2 answers:

Tom [10]3 years ago

6 0

Answer:

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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2x squared plus 16x minus 10 equals 0. please solve for the solution

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Answer: 5/9

Solution: 2x^2+16x-10=0

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

X=5/9

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2 years ago

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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

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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

-25x=-440-30x

Add 30x

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x=-88 years

Check your numbers.

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3 years ago

What is vaule of f^-1 (-4)

Butoxors [25]

Answer:

-4/f

Step-by-step explanation:

i hope this helps

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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