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lawyer [7]
3 years ago
10

A circle with area \blue{9\pi}9πstart color #6495ed, 9, pi, end color #6495ed has a sector with a central angle of \purple{60^\c

irc}60 ∘ start color #9d38bd, 60, degrees, end color #9d38bd. What is the area of the sector?
Mathematics
1 answer:
Liono4ka [1.6K]3 years ago
6 0

Answer:

The area of the sector is 3pi/2

Step-by-step explanation:

A sector is that part of a circle bounded by 2 radii and an arc

The circle has an area of 9 pi with a central angle of 60 degrees.

Now the area of the sector is pretty much straight forward to calculate. Since it is a circle, the total angle we have is 360.

Now the sector subtends an angle of 60 degrees at the centre. What this means is that the sector is exactly 1/6 of the circle. meaning that cutting the circle into 6 slices will give the sector.

Thus, the area of the sector is one-sixth the area of the circle.

The area of the sector is thus 1/6 * 9pi = 9pi/6 = 3pi/2 or 3/2 pi

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Which equations may be used to determine the 3 consecutive integers whose sum is 127?
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Answer:

a and b.

Step-by-step explanation:

I’ll explain by giving an example.

Let’s say that: a=3;b=4;c=5; => they all are consecutive -> their sum is 12.

=> if we use a) n=3 => 3*n+3=3*3+3=12 => correct.

b) n+(n+1)+(n+2)= 3+4+5=12=> correct.

c)n+2n+3n=3+6+9=18=>incorrect.

d)3n=3*3=9=>incorrect.

7 0
2 years ago
ANSWER QUESTION A. ANSWER QUESTION B
RUDIKE [14]

Answer:

a. There is a causation relationship and positive trend between number of hours on homework and higher test scores.

b. 76

Step-by-step explanation:

a. Since the dots all follow a linear progression and increase closely together this is a positive trend and likely a causation relationship.

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6 0
3 years ago
Read 2 more answers
The volume of a cylinder with a height of 2 and radius of 3
prisoha [69]

Answer:

v = 18π

Step-by-step explanation:

v = πr²h

plug in the givens

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v = 18π   exact answer

V = 18 * 3.14 = 56.52    decimal approximation

6 0
3 years ago
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Morgarella [4.7K]

Answer:

6:3:8

Step-by-step explanation:

We need to find the amount of:

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Snakes= Joe has 3

Hamster= Joe has 8

So, the ratio of Joe's frogs and snakes to hamsters is 6: 8 : 3.

Hope that helped! :)

6 0
3 years ago
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Musya8 [376]
I think the answer is a
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