All categories

2 years ago

A circle has a radius of 9 cm and a sector of the circle has an arc length of 9. 7cm

Mathematics

1 answer:

frutty [35]2 years ago

7 0

Answer:

S = R θ where θ is in radians

If θ = 2 pi then S = 2 pi R the circumference of the circle

θ = S / R = 9.7 / 9 = 1.08 rad

Since 1 rad = 360 / (2 pi) = 57.3 deg

the angle included = 1.08 rad * 57.3 deg/rad = 61.9 deg

You might be interested in

Please please help me answer this

Triss [41]

I really dislike these stupid algebra problems pretending to be geometry. To the question writer: the measures are equal, the angles are congruent.

The two angles are equal measure so

4x + 3 = 12x

3 = 8x

x = 3/8

KIH = (12 (3/8))° = 9/2 = 4.5°

Answer: 4.5°

5 0

3 years ago

Thomas the giant gorilla climbed to the top of a building 650 feet tall. He broke loose a statue and threw it down with an initi

vekshin1

Answer:

13 seconds

Step-by-step explanation:

It goes down by 50. So it goes 650 600 550 500 450 400 350 300 250 200 150 100 50 0

6 0

3 years ago

Didier whants to buy a bike that cost $125 he aredy has saved $65 he earns $12 each hour working a a life garud abd saves all of

Yuri [45]

Answer:

5 Hours of work.

Step-by-step explanation:

Subtract 125 by 65 and we get 60. Then divide that 60 by how much he gets paid an hour ($12), and you get 5 hours of work until he can buy the bike.

3 0

3 years ago

Prove that: (a2 - b2)3 + (b2-c2)3+ (c2-a2)3 = 3 (a+b) (b+c) (c+a) (a-b) (b-c) (c-a).

Vanyuwa [196]

$L=(a^2-b^2)^3+(b^2-c^2)^3+(c^2-a^2)^3=(*)\\\\(a^2-b^2)^3=a^6-3a^4b^2+3a^2b^4-b^6\\\\(b^2-c^2)^3=b^6-3b^4c^2+3b^3c^4-c^6\\\\(c^2-a^2)^3=c^6-3c^4a^2+3c^2a^4-a^6\\\\(*)=a^6-3a^4b^2+3a^2b^4-b^6+b^6-3b^4c^2+3b^2c^4-c^6+c^6-\dots\\\dots-3c^4a^2+3c^2a^4-a^6\\\\=-3a^4b^2+3a^2b^4-3b^4c^2+3b^2c^4-3c^4a^2+3c^2a^4\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)$

$R=3(a+b)(a-b)(b+c)(b-c)(c+a)(c-a)\\\\=3(a^2-b^2)(b^2-c^2)(c^2-a^2)\\\\=3(a^2b^2-a^2c^2-b^4+b^2c^2)(c^2-a^2)\\\\=3(a^2b^2c^2-a^4b^2-a^2c^4+a^4c^2-b^4c^2+a^2b^4+b^2c^4-a^2b^2c^2)\\\\=3(-a^4b^2+a^2b^4-b^4c^2+b^2c^4-a^2c^4+a^4c^2)\\\\L=R$

5 0

3 years ago

Read 2 more answers

A new cell phone is on sale for 40% off its original price. The sale price is $48.

anastassius [24]

If it is 40% off, it is selling at 60% of it original price.

The sales price is $48
60% = 58
1% = 58 ÷ 60 = 0.93
100% = 0.93 x 100 = $93

The original price is $93

7 0

3 years ago