3 years ago

Find the 1st- 4th nTH term and then find the 10th term, rule is 5-2n

Mathematics

1 answer:

vovikov84 [41]3 years ago

5 0

Answer:

When n is 1

5-2n

=5-2*1

=5-2

When n is 2

5-2n

=5-2*2

=5-4

When n is 3

5-2n

=5-2*3

=5-6

=-1

When n is 4

5-2n

=5-2*4

=5-8

=-3

When n is 10

5-2n

=5-2*10

=5-20

=-15

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Since, the question says degrees itself and there is no specification of using radians only, so I have solved it using degrees itself.

Part (a):

Perimeter of sector ORS = 2*Radius + Arc RS = 2*21 + $60* \frac{ \pi }{180} *21 = \frac{ \pi }{3} *21 = 7 \pi$

Part (b):

Area of sector ORS = $\frac{60}{360} * \pi * 21^{2} = \frac{1}{6} * \pi *21*21= \frac{147}{2} \pi$

Area of sector POQ = $\frac{36}{360} * \pi * 14^{2} = \frac{1}{10} * \pi * 196 = \frac{196}{10} \pi$

Thus, area of shaded region
= Area of sector ORS - Area of sector POQ

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5 0

3 years ago

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alexgriva [62]

Answer:

hope this helps

Step-by-step explanation: