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bearhunter [10]
3 years ago
5

a circle with radius 3 has a sector with a central angle of 17/9 pi radians. what is the area of the sector?

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

The area of the sector is 26.69

Step-by-step explanation:

First of all we need to calculate the area

To solve this problem we need to use the area formula of a circle:

a = area

r = radius =   3

π = 3.14

a = π * r²

we replace with the known values

a =  3.14 *  (3)²

a =  3.14 * 9

a = 28.26

The area of the circle is 28.26

A complete circle has 2pi radians

We divide 17/9 pi by 2pi and obtain the fraction of the total circle

(17pi/9) / 2pi = 17/18

we multiply this fraction with the area of the circle and obtain the area of the sector

28.26  * 17/18 = 12.43cm

The area of the sector is 26.69

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Sunny_sXe [5.5K]
When n = 1, 2(1) + 1 = 3

When n = 2, 2(2) + 1 = 5

When n = 3, 2(3) + 1 = 7

When n = 4, 2(4) + 1 = 9

When n = 5, 2(5) + 1 = 11

Sum = 3 + 5 + 7 + 9 + 11 = 35

----------------------------------------------------
Answer: 35
----------------------------------------------------
4 0
3 years ago
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Help me with this please
Tems11 [23]

Answer:

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2 years ago
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Minchanka [31]
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3 years ago
A woman plans to buy some bottles of alcohol, a bottle of Heineken goes for $800 while that of monster drink $250. she doesn't h
Alja [10]

Answer:

The inequalities that must be satisfied is

x + y  \leq  32

x(800) + y(250)  \leq 3500

Step-by-step explanation:

Let the number of  Heineken bottles be x

Let the number of  monster drink bottles be y

Her crate cannot hold more than 32, This situation can be represented as

\text{Number of  Heineken bottles  +   number of  monster drink bottles } \leq 32

That is

x + y  \leq  32 ------------------------(1)

Cost of one Heineken bottles = $800

Cost of one  monster drink bottles = $250

then

x \times \text{cost of one Heineken bottle }  + y \times \text{ cost of one monster drink bottle} \leq 3500x

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3 years ago
Please help 50 points
ra1l [238]

Answer:

0 < y <= 6

Step-by-step explanation:

Given:

√(x² - 6x + 9)

if -3 <= x < 3

you can write (x² - 6x + 9)

as (x-3) * (x- 3) which is (x-3)²

so now you have √{(x-3)²}, which is the same as the absolute value of x-3. In mathematics it is written as:

| x - 3 |

So √(x² - 6x + 9) = | x - 3 |

See the graph in the attachment.

for -3 <= x < 3

you get the y values bigger then ( but not equal to) 0 and smaller then or equal to 6.

This is written as 0 < y <= 6

5 0
3 years ago
Read 2 more answers
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