All categories

3 years ago

Find the area of the sector.

Mathematics

2 answers:

MatroZZZ [7]3 years ago

5 0

Answer:

52 and 1/3

Step-by-step explanation:

I believe it would be 1/6 of 314 which would be 52 and 1/3. I got this because pi(r)^2, 10^2*3.14 which is 314. 60 degrees is 1/6 of 360 degrees. 1/6 of 314 is 52 and 1/3. I am not 100% sure but I think this is right. Hope this helps :).

zalisa [80]3 years ago

4 0

Answer: area of the sector is 52.3m²

Step-by-step explanation:

The formula for determining the area of a sector is expressed as

Area = θ/360 × πr²

Where

θ represents the central angle which is formed by the two radii

r represents the radius of the circle.

π is a constant whose value is 3.14

From the information given,

θ = 60 degrees

r = 10 meters

Therefore,

Area = 60/360 × 3.14 × 10²

Area = 60/360 × 3.14 × 100

Area = 52.333

Rounding up to 1 decimal place, it becomes

52.3m²

You might be interested in

Please help!

Masja [62]

Answer:

(A) The rate of change in the price of a bushel of corn in the current year is $7.

(B) The price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

Step-by-step explanation:

The graph for the prices of different numbers of bushels of corn at a store in the current year is shown below.

Part A:

The rate of change in the price of a bushel of corn in the current year based upon the number of bushels is known as the slope of the line.

The formula to compute the slope is:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Consider the ordered pairs: (4, 28) and (10, 70)

Compute the slope of the line as follows:

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{70-28}{10-4}\\\\=\frac{42}{6}\\\\=7$

Thus, the rate of change in the price of a bushel of corn in the current year is $7.

Part B:

The data for the price of bushels in the previous year is as follows:

Number of Bushels Price

2 10

4 20

6 30

8 40

Compute the rate of change in the price of a bushel of corn in the previous year based upon the number of bushels as follows:

Consider the ordered pairs: (2, 10) and (6, 30)

$\text{Slope}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$=\frac{30-10}{6-2}\\\\=\frac{20}{4}\\\\=5$

The rate of change in the price of a bushel of corn in the previous year is $5.

Thus, the price of a bushel of corn in the current year is $2 more than the price of a bushel of corn in the previous year.

5 0

3 years ago

What is the value of m in the figure below?

Scilla [17]

Answer:

Step-by-step explanation:

6.7

6 0

3 years ago

Suppose that a ball is dropped from the upper observation deck of the CN Tower in Toronto, 450 m above the ground. Find the velo

mr Goodwill [35]

Answer:

1350

Step-by-step explanation:

460 X 3

7 0

3 years ago

What is the simplified form of the following expression?

Igoryamba

Answer:

169 is the answer.

Step-by-step explanation:

I used a calculator.

7 0

3 years ago

Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 3838 using the method presented in

horrorfan [7]

Question:

Below are 36 sorted ages of an acting award winner. find the percentile corresponding to age 38 using the method presented in the textbook. 18 19 20 20 21 23 25 31 33 34 35 37 38 47 50 51 55 55 58 59 62 62 64 66 69 70 70 70 71 71 72 74 74 75 77 80 percentile of value 38 = ______ (round to the nearest integer as needed.)

Answer:

33 percentile

Step-by-step explanation:

Given the ages:

18, 19, 20, 20, 21, 23, 25, 31, 33, 34, 35, 37, 38, 47, 50, 51, 55, 55, 58, 59, 62, 62, 64, 66, 69, 70, 70, 70, 71, 71, 72, 74, 74, 75, 77, 80.

We are told to find the percentile corresponding to age 38.

To find the percentile corresponding to age 38 simply means to find the percentage of ages that are less than 38.

From the given values, the number of ages less than 38 are 12. Therefore, the percentile corresponding to age 38 would be:

(Ages less than 38/ total number of ages) * 100

$= \frac{12}{36} * 100 = 33.333$

33.333 ≈ 33

The percentile corresponding to age 38 = 33 percentile

5 0

3 years ago