Is this an arithmetic sequence? (#17)

There is a balcony that forms part of a circle around a stage, and they need to put up a safety railing. How long of a railing d

alexandr1967 [171]

A sector is a part of a circle that is formed by two radii, and an arc. So that the length of the safety railing required is 31.4 feet.

A sector is a part of a circle that is formed by two radii, and an arc, thus forming a central angle.

Thus the required length of safety railing can be considered as the arc of the sector.

So that;

length of an arc = (θ / $360^{o}$ ) * 2 $\pi$ r

where θ is the measure of the central angle of the sector, and r is the radius of the sector.

From the given question, θ = 45°, and r = 40 feet.

So that,

length of the safety railing = (45° / $360^{o}$ ) * 2 * 3.14 * 40

= 0.125 * 2* 3.14* 40

length of safety railing = 31.4

Therefore, the length of the safety railing required is 31.4 feet.

For more clarifications on the length of an arc, visit: brainly.com/question/2005046

#SPJ1

6 0

2 years ago

What number should be placed in the box to help complete the division calculation?

Korolek [52]

it would be 1,898 hope this helps

4 0

3 years ago

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The FBI wants to determine the effectiveness of their 10 Most Wanted list. To do so, they need to find out the fraction of peopl

koban [17]

Answer:

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

Step-by-step explanation:

Explanation:-

Given sample size 'n' = 517

Given data Suppose a sample of 517 suspected criminals is drawn. Of these people, 211 were captured.

'x' =211

The sample proportion

$p^{-} = \frac{x}{n} = \frac{211}{517} =0.4081$

$q^{-} = 1-p^{-} = 1- 0.4081 = 0.5919$

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

$(p^{-} - Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} )}{n} } , p^{-} + Z_{\frac{\alpha }{2} } \sqrt{\frac{p^{-} (1-p^{-} }{n} } )$

$(0.4081 - 2.326 \sqrt{\frac{0.4081 (0.5919 )}{517} } , 0.4081+ 2.326\sqrt{\frac{0.4081(0.5919 }{517} } )$

(0.4081-0.0498 , 0.4081 +0.0498)

(0.3583 , 0.4579)

Conclusion:-

98% of confidence intervals for the Population proportion of people who captured after appearing on the 10 most wanted list

(0.3583 , 0.4579)

7 0

4 years ago

Y varies inversely to x. If y = 7 when x = -4, what is y when x =5 ?

djverab [1.8K]

Answer:

Step-by-step explanation:

y*1/x

y=k/x where k is the constant of variation

when y=7, x=-4

7=k/-4

k=-28

when x=5

y=-28/5

note: * is used as symbol of variation

7 0

3 years ago

Given figure PQRS ~ figure TUVW, what is the value of b?

dolphi86 [110]

Two figures that have the same shape are said to be similar. When two figures are similar, the ratios of the lengths of their corresponding sides are equal. We calculate as follows:

3.9 / 1.3 = 9.6 / b
b = 9.6 x 1.3 / 3.9
b = 3.2

5 0

3 years ago

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