All categories

3 years ago

The perimeter of a quarter circle is 10.71 meters what is the circles radius

Mathematics

2 answers:

dmitriy555 [2]3 years ago

5 0

The radius would be 1.7

Morgarella [4.7K]3 years ago

3 0

C=2pir
circumfrence is distance around
so 1/4 of that is(2pir)/4=pir/2
and the 2 sides are radii
that quarter circle perimiter is 2r+c/4 or 2r+pir/2

10.71=2r+pir/2
times 2both sides
21.42=4r+pir
undistribute
21.42=r(4+pi)
divide both sides by 4+pi
(21.42)/(4+pi)=r
aprox pi=3.141592
r=2.99783 meters
aprox
r=3meters about

You might be interested in

What is the slope of the line below

Fofino [41]

Answer:

C. $\frac{1}{2}$

Step-by-step explanation:

You can use the formula to find the slope: $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

(-1.5, 1.5) & (1.5, 0)

$\frac{0-(-1.5)}{1.5-(-1.5)} =\\\\\frac{0+1.5}{1.5+1.5} =\\\\\frac{1.5}{3} =\\\\\frac{1}{2}$

The slope is $\frac{1}{2}$

3 0

3 years ago

The probability of a type ii error is represented by the greek symbol, β.

Sidana [21]

The answer to your question is a. TRUE

3 0

3 years ago

Expand and simplify 10-3(3x-2)

JulijaS [17]

Answer:

−9+16

Step-by-step explanation:

1. 10−3(3−2)

10−9+6

2. Add the numbers

3. Rearrange terms

3 0

3 years ago

Find the area of the shaded region. The graph to the right depicts IQ scores of adults, and those scores are normally distribute

balu736 [363]

Answer:

The area of the shaded region is 0.9082.

Step-by-step explanation:

Problems of normally distributed samples can be solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value, which is the area of the shaded region, is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 100, \sigma = 15, X = 120$

Area of the shaded region:

pvalue of Z

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{120 - 100}{15}$

$Z = 1.33$

$Z = 1.33$ has a pvalue of 0.9082

The area of the shaded region is 0.9082.

4 0

3 years ago

What is the quotient of 2 1/4 and 5/8?

Dmitriy789 [7]

It's simple math, but if you don't understand, we can help. To begin with, you must first convert 2 1/4 to an improper fraction. You'd be left with 9/4 after the conversion. Write out 9/4 ÷ 5/8. After doing so, find the reciprocal of 5/8 (switch the numerator and the denominator). Now, write out the question as 9/4 × 8/5. Multiply straight across, as you do not need common denominators when multiplying or dividing fractions. Your final answer should be 72/20. When simplified, you should get 3 2/20, or when simplified to the smallest amount, 3 1/10. Hope I was clear enough to help! :)

8 0

3 years ago