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Solnce55 [7]
2 years ago
10

A circle has a radius of \blue{5}5start color #6495ed, 5, end color #6495ed. An arc in this circle has a central angle of 162^\c

irc162
∘
162, degrees.
What is the length of the arc?
Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

answer is 14.14
Mathematics
1 answer:
Andrew [12]2 years ago
4 0

Answer: 9/2π

20 / 9 = 10π  s

20 /9  *10π= s

2 /9  π = s

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oksano4ka [1.4K]

Answer:

9 cm.

Step-by-step explanation:

Let the height of the pyramid be h cm, then the height of the cuboid is (15 - h) cm.

Volume of the pyramid:

= 1/3 * h * s^2      where s is the length of a side of the square base.

= hs^2/3 cm^3

Volume of the cuboid:

= s^2(15 - h).

So we have:

hs^2/ 3 = 300.......................(1)

s^2(15 - h) = 600..................(2)

From  equation (1) :

h s^2 = 900

s^2 = 900/h

Now substitute for s^2 in  equation (2) :

(900/h)(15 - h) = 600

Multiply through by h:

900(15 - h) = 600h

13500 - 900h = 600h

1500h = 13500

h = 9 cm (answer).                  brainliest?

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