Find the measure of b. PLEASE HELP

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

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6 0

1 year ago

Simplify 3z + 4z +4 -2 -5z when Z=8

Ber [7]

Answer:

18

Step-by-step explanation:

3z + 4z +4 -2 -5z

Combine like terms

3z + 4z -5z +4-2

2z+2

Let z=8

2*8 +2

16+2

18

3 0

3 years ago

Read 2 more answers

What are the solutions to the quadratic equation (5y + 6)2 = 24? y = StartFraction negative 6 + 2 StartRoot 6 EndRoot Over 5 End

Paladinen [302]

Answer:

there are two solutions:

a) $y=\frac{-6+2\sqrt{6} }{5}$ , and

b) $y=\frac{-6-2\sqrt{6} }{5}$

Step-by-step explanation:

In the equation: $(5y+6)^2=24$ , since a perfect square with the unknown "y" is isolated on the left of the equal sign, we start by applying the square root on both sides of the equality, and then on isolating the unknown:

$(5y+6)^2=24\\\sqrt{(5y+6)^2} =+/-\sqrt{24} \\(5y+6)=+/-\sqrt{6*4} \\(5y+6)=+/-2\sqrt{6}\\5y=-6+/-2\sqrt{6}\\y=\frac{-6+/-2\sqrt{6} }{5}$

Therefore there are two solutions:

a) $y=\frac{-6+2\sqrt{6} }{5}$ , and

b) $y=\frac{-6-2\sqrt{6} }{5}$

10 0

2 years ago

Read 2 more answers

What’s the slope of y=4x+5

victus00 [196]

Answer:

4

Step-by-step explanation:

The slope is 4 because in the y=mx+b format m is always the slope while b is your initial value or starting point

3 0

2 years ago

Plsssss help it is khan academy!!!

givi [52]

The inequality is in the direction of the arrow
The arrow is like this <——— so the inequality is <
It is an open circle so that means -1 is not included
x<-1
Or choice A

7 0

2 years ago