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3 years ago

What is the area of the shaded sector?

Mathematics

2 answers:

Salsk061 [2.6K]3 years ago

7 0

Answer:

= 72*pi

If we approximate pi

= 226.08

Step-by-step explanation:

The area of the entire circle is

A = pi * r^2

where r = 24

A = pi * 24^2

A = pi *576

45 degrees is part of a 360 degree circle

45/360 =1/8

Multiply the area by 1/8 since it is 1/8 of the circle

1/8 A = 1/8 * 576pi

= 72*pi

If we approximate pi

= 226.08

Sati [7]3 years ago

7 0

Answer:

see explanation

Step-by-step explanation:

area of sector = area of circle × fraction of circle

= π × 24² × $\frac{45}{360}$

= π × 576 × $\frac{1}{8}$ = 72π units² ← exact value

area of sector = 72π units² ≈ 226.2 units² ( 1 dec. place )

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3 years ago

For each sequence, find the first 4 terms and the 10th term.<br> A) n+5<br> B)2n-1

snow_tiger [21]

Answer:

see explanation

Step-by-step explanation:

(a)

To find the first 4 terms substitute n = 1, 2, 3, 4 into the n th term formula.

a₁ = 1 + 5 = 6

a₂ = 2 + 5 = 7

a₃ = 3 + 5 = 8

a₄ = 4 + 5 = 9

For the 10 th term substitute n = 10, that is

a₁₀ = 10 + 5 = 15

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(b)

Substitute n = 1, 2, 3, 4 and 10 into the n th term formula

a₁ = 2(1) - 1 = 2 - 1 = 1

a₂ = 2(2) - 1 = 4 - 1 = 3

a₃ = 2(3) - 1 = 6 - 1 = 5

a₄ = 2(4) - 1 = 8 - 1 = 7

a₁₀ = 2(10) - 1 = 20 - 1 = 19

The first 4 terms are 1, 3, 5, 7 and the 10 th term is 19

5 0

3 years ago

Olivia goes to Egypt and saw a model of triangle shaped pyramid. She enlarging using a scale factor of 1.2. What will be the per

ivann1987 [24]

If you are talking about the area and perimeter of one of the triangular faces...
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8 0

2 years ago

Find the value of cos C rounded to the nearest hundredth, if necessary

Sindrei [870]

$\bold{\frac{5}{13} or 0.38}$

Answer:

Solution given:

here

by using Pythagoras law

hypotenuse =

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6 0

2 years ago

Please could someone explain how to do question 2)a) (ii)

KonstantinChe [14]

Answer:

15 kilometres

Step-by-step explanation:

Based on the wording of your question, I am assuming you already know that Paul ran 250 metres every 1 minute, and that the ratio is 250:1. To get the second part of the answer, convert metres to kilometres. 0.001*250= 0.25. Paul ran 0.25 kilometres per minute. The ratio of kilometres per minute is 0.25:1. Next, convert minutes to hours. Multiply the entire ratio by 60, as there are 60 minutes in an hour. The ratio of kilometeres per minute is 15:60, and the ratio of kilometres per hour is 15:1, meaning Paul ran 15 kilometres in one hour.

8 0

2 years ago