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Wewaii [24]
3 years ago
15

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.

Mathematics
1 answer:
nirvana33 [79]3 years ago
8 0

Answer:

Area of the unshaded sector = 113.4 sq units

Area of the shaded sector = 200.6 sq units

Step-by-step explanation:

First let us calculate the area of the circle

Area of the circle = πr²

radius r  = 10units

Area of the circle = π(10)²

Area of the circle = π(100)

Area of the circle = 3.14(100)

Area of the circle = 314 sq. units

Area of a sector = theta/360 * πr²

Area of the unshaded sector = 130/360 * 314

Area of the unshaded sector = 13/36 * 314

Area of the unshaded sector = 113.389 sq units

Area of the unshaded sector = 113.4 sq units

Area of the shaded sector = Area of circle - Area of the unshaded sector

Area of the shaded sector = 314 - 113.89

Area of the shaded sector = 200.6sq. units

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PLS HELP! which graph is the function 3x + 2y = 8 with the given domain {-2,0,2,4}??
Romashka [77]

Answer:

D

Step-by-step explanation:

Domain of the function 3x + 2y = 8 are the possible set of x-values represented as {-2, 0, 2, 4}.

To know which graph represents the above given function, find the range values of the function by plugging in each value of x into the equation, to find y.

For x = -2,

3(-2) + 2y = 8

-6 + 2y = 8

2y = 8 + 6

2y = 14

y = 14/2

y = 7

(-2, 7)

For x = 0,

3(0) + 2y = 8

0 + 2y = 8

2y = 8

y = 8/2

y = 4

(0, 4)

For x = 2,

3(2) + 2y = 8

6 + 2y = 8

2y = 8 - 6

2y = 2

y = 2/2

y = 1

(2, 1)

For x = 4,

3(4) + 2y = 8

12 + 2y = 8

2y = 8 - 12

2y = -4

y = -4/2

y = -2

(4, -2)

The graph which shows the following set of coordinates pairs calculated above, ((-2, 7), (0, 4), (2, 1), (4, -2)), is the graph of the function 3x + 2y = 8.

Thus, the graph in option D the shows the following calculated coordinate pairs. Therefore, graph D is the answer.

7 0
3 years ago
I need help with this
melomori [17]
N'(-2,2)
G'(-2,-4)
H'(6,-4)
5 0
3 years ago
Solve the equation for b ​
Keith_Richards [23]

Answer:

D. b=7a

Step-by-step explanation:

Add -11/3a to both sides.

\frac{1}{3}b=\frac{7}{3}a

Divide both sides by 1/3

1 /3 b ÷1/ 3 = 7/ 3 ÷a 1 /3

and the answer is

b=7a

ik this doesnt make any sense but hope this helps

5 0
2 years ago
Read 2 more answers
Which could be the area of one face of the rectangular prism? Select three options.
Anit [1.1K]

Answer:

24 cm squared

44 cm squared

66 cm squared

Step-by-step explanation:

6(4)= 24

11(4)= 44

11(6)= 66

4 0
3 years ago
Read 2 more answers
Factorise fully the following:<br>a) x² + 2x<br>b) 2x² - 6x<br>c) 15x - 10x³<br>d) 9x² + 3x³​
Lostsunrise [7]

Answer:

a) x(x+2)

b) 2x(x-3)

c) 5x(3-2x^2)

d) 3x^2(3+x)

Step-by-step explanation:

a) x^2+2x

When factoring a binomial (a polynomial with two terms), what we will be looking for are the terms that are shared between them.

In this problem, it can be seen that both of these terms have and x. This means that we can factor it out to get

x(x+2)

b) 2x^2-6x

What are the common terms here?

It can be seen that each of these share a 2x, so our factored form would be

2x(x-3)

c) 15x-10x^3

What about this one?

The common factor of this one is 5x, so our factored form would be

5x(3-2x^2)

d) 9x^2+3x^3

The common factor of this one is 3x^2, so our factored form would be

3x^2(3+x)

6 0
3 years ago
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