A circle has a diameter of
18
m. Find the area of the sector
whose central angle is 135°

Answers

Answer 1

Answer:

[tex]\boxed {\boxed {\sf \frac{ 243}{8} \pi , 95.3775, or \ 95.42587686 \ m^2 }}[/tex]

Step-by-step explanation:

When given the central angle in degrees, the formula for sector area is:

[tex]A=\frac{ \theta}{360} * \pi r^2[/tex]

where θ is the central angle and r is the radius.

We are given the diameter, so we must calculate the radius. The radius is half the diameter.

r= d/2

The diameter is 18 meters.

r= 18 m/2 r= 9 m

Now we know all the variables:

θ=135 r= 9 m

Substitute the values into the formula.

[tex]A=\frac{ 135}{360} * \pi (9)^2[/tex]

Solve the exponent first.

(9)²= 9 m *9 m= 81 m²

[tex]A=\frac{ 135}{360} * (81 \ m^2) \pi[/tex]

Solve the fraction.

[tex]A=\frac{ 3}{8} * (81 \ m^2) \pi[/tex]

Multiply the two rational numbers.

[tex]A=\frac{243}{8} \pi \ m^2[/tex]

The answer can be left like this, in terms of pi, or can be multiplied.

Using 3.14 as pi

[tex]A=\frac{243}{8} *3.14 \ m^2[/tex]

[tex]A= 95.3775 \ m^2[/tex]

Using the pi button as pi

[tex]A= 95.42587685 \ m^2[/tex]

The area is 243/8 π, 95.3775, or 95.42587685 square meters.


Related Questions

what does 4f-2f + 3-f= equal

Answers

Answer:

f + 3

Step-by-step explanation:

Combine like-terms

4f - 2f - f +3

f + 3

Answer:

4f-2f+3-f

2f-f+3

f+3

f= -3

Step-by-step explanation:

Solve: 13x+4.............X=2

Answers

Answer: X=2/17

Hope this helps

Suppose a 99% confidence interval for the mean weight of high school girls in pounds is (102.3, 106.5). If we had measured the weights of each of the girls in kilograms (2.2 pounds = 1 kilogram) then the confidence interval for the mean weight of high school girls in kilograms would have been

Answers

Answer:

The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).

Step-by-step explanation:

To find the interval, we can just make the conversion of the values from pounds to kilograms.

Each kilogram has 2.2 pounds. So, to realize the conversion from pounds to kilograms, we divide by 2.2.

Confidence interval: (102.3 pounds, 106.5 pounds).

102.3 pounds = 102.3/2.2 = 46.5 kilograms

106.5 pounds = 106.5/2.2 = 48.41 kilograms

The confidence interval for the mean weight of high school girls in kilograms would have been would have been (46.5, 48.41).

ACTIVITY 1
Directions: Find the unknown principal P, rate r, time t, and simple
interest Is by completing the table. Use separate sheet/s of paper for your
answer.
Principal (P)
Rate (T)
Time (t)
8%
15
2%
5
Simple Interest
(Is)
(1)
10,000
3,600
175,500
10,000
(2)
360,000
500,000
2
(3)
10.5%
Activity 2
Directions: Find the unknown principal P, maturity value, and
compound interest Ic by completing the table. Use separate sheet/s of paper
for your answer.
Maturity Value
Principal (P) Rate(r) Time(t)
Compound
Interest (Ic)
(1)
10,000
(3)
8%
2%
15
5
(2)
50,000​

Answers

Answer:

500,000

2

(3)

10.5%

Activity 2

Directions: Find the unknown principal P, maturity

Leslie’s employer will match up to 3% of her salary in contributions to her 401(k). Her monthly salary is $3,200, and the company allows her to make contributions to a maximum of 10% of her salary. What is the maximum monthly deposit to Leslie’s 401(k), including her employer’s matching contribution?

Answers

Answer:

$416.00

Step-by-step explanation:

Leslie's 10% and her employer's 3% total 13% of her salary:

0.13 · $3200 = $416

The maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.

What is a matching contribution?

A matching contribution is a type of contribution that Leslie's employer decides to contribute to Leslie's 401(k) plan, which is an employer-sponsored retirement plan.

Data and Calculations:

Monthly salary = $3,200

Leslie's maximum contribution = 10% of salary

Employer's matching contribution = 3% of salary

Total contributions to the 401(k) plan = 13% of salary

= $416 ($3,200 x 13%)

Thus, the maximum monthly deposit to Leslie’s 401(k) account, including her employer’s matching contribution, is $416.

Learn more about matching contributions at https://brainly.com/question/16338999

#SPJ2

Write 34% as a fraction or mixed number in simplest form

Answers

17/50 = 34% Hope this helped

Write the number 5,187,000,700 in words.

Answers

it’s Five billion one hundred eighty seven million seven hundred . :)

Plz helpppp I will give the brainliest help me plz

Answers

Answer:

36

Step-by-step explanation:

Let the original quantity of marbles of the bag be y.

[tex]\frac{2}{3} (\frac{1}{2} )y=12[/tex]

y=36

3 to 4 is equivalent to the ratio of x to 36. What will x be?

Answers

Answer:

x = 27

Step-by-step explanation:

121/2% in to a fraction ​

Answers

add a picture, i dont understand the question

9514 1404 393

Answer:

  1/8

Step-by-step explanation:

You can replace % with /100 to make it a fraction.

  12 1/2% = (12 1/2)/100 = (25/2)/100 = 25/200 = 1/8

__

Or, you can reduce the decimal fraction.

  12.5% = 12.5/100 = 0.125 = 125/1000 = 1/8

ANSWWER QUICK IM TIMED

What is the y-coordinate of point W?

On a coordinate plane, point W is 2.5 units to the right and 1.5 units down.
A. -2.5
B. -1.5
C. 1.5
D. 2.5

Answers

Answer:

-1.5

Step-by-step explanation:

the y coordinate is along the vertical axis so because the point is 1.5 units down, the y-coordinate is -1.5

B, -1.5 is the answer

dentify as an increase or decrease. Then find the percent of increase or decrease. If necessary, round to the nearest percent.

Original: 150

New: 130

Answers

Answer:

Step-by-step explanation:

The difference is 130-150 = -20, a decrease.

-20/150 ≅ -0.133, a decrease of 13.3%

isabella collected a bunch of dimes and quarters for her school fundraiser she collected a total of 211 coins and a total of 37.30 how many dimes and how many quarters did she collect

Answers

Answer:

103 dimes and 108 quarters

Step-by-step explanation:

Given

[tex]Value = \$37.30[/tex]

[tex]Amount = 211[/tex]

Required

Determine the number of each coin collected

Represent dimes with D and quarters with Q.

[tex]1\ D= \$0.10[/tex]

[tex]1\ Q= \$0.25[/tex]

So:

[tex]0.10D + 0.25Q = 37.30[/tex] --- Value

[tex]D + Q = 211[/tex] --- Amount

Make D the subject in [tex]D + Q = 211[/tex]

[tex]D = 211 - Q[/tex]

Substitute 211 - Q for D in [tex]0.10D + 0.25Q = 37.30[/tex]

[tex]0.10(211 - Q) + 0.25Q = 37.30[/tex]

Open brackets

[tex]21.1 - 0.10Q + 0.25Q = 37.30[/tex]

Collect Like Terms

[tex]- 0.10Q + 0.25Q = 37.30 - 21.1[/tex]

[tex]0.15Q = 16.2[/tex]

Make Q the subject

[tex]Q = 16.2/0.15[/tex]

[tex]Q = 108[/tex]

Substitute 108 for Q in [tex]D = 211 - Q[/tex]

[tex]D = 211 - 108[/tex]

[tex]D = 103[/tex]

Which ordered pair satisfies the system of equations below?

Answers

Answer:

(2.5,-0.5)

Step-by-step explanation:

3x-y=8

x+y=2

4x=10

x=2.5

x+y=2

2.5+y=2

y=-0.5

ANS: (2.5,-0.5)

What is the 10th term in -9,-6,-1,6,15

Answers

Answer:

90

Step-by-step explanation:

This is an increasing sequence, with -9 as its first term. The first increase is +3, then +5, +7, and +9. The differences increase by 2 each time. The sixth term will be 15 + 11, and the seventh would be 15 + 11 + 13. We can follow this pattern to get to the tenth term. 15 + 11 + 13 + 15 + 17 + 19 = 90

Circle O has a center at (-2, -2) and a diameter of 10 units. Which point lies on circle O ?

Answers

Answer:

Step-by-step explanation:

Many points lie circle O

The points with a distance of 10 units will be on the circle

eg. (8,-2) or (4,6) both lie on the circle as they have a distance of 10 units from the center.

liters = 5,000 milliliters

Answers

Answer:

5 liters

Step-by-step explanation:

1,000 milliliters= 1 liter.

5,000/1,000 is 5 liters

Answer:

5 liters

Step-by-step explanation:

but not sure about answer

Pls help I’ll brainlest

Answers

-11 I’m pretty sure that’s correct

Please answe number 1 PLEASE

Answers

Answer:

i believe the answers D

Step-by-step explanation:

Answer:

i think its B

Step-by-step explanation:

Find the surface area of the rectangular prism.
4 mi
5 mi
4 mi

Answers

Answer:

112

Step-by-step explanation:

A = 2 (wl+hl+hw)

A = 2 (4 x 5 + 4 x 5 + 4 x 4)

A = 2 (20 + 20 + 16)

A = 2 x 56

A = 112

Graph the function
Need help ASAP plz

Answers

Given:

The equation of a function is

[tex]y=(x-4)^2+1[/tex]

To find:

The graph of the given function.

Solution:

The vertex form of a parabola is

[tex]y=(x-h)^2+k[/tex]        ...(i)

Where, (h,k) is vertex of the parabola.

We have,

[tex]y=(x-4)^2+1[/tex]         ...(ii)

From (i) and (ii), we get

[tex]h=4, k=1[/tex]

The vertex of the parabola is (4,1).

Now, the table of values is

x             y

2            5

3            2

4             1

5            2

6            5

Plot these points on a coordinate plane and connect them by a free hand curve.

The graph of given function is shown below.

I'll give brainliest for the first and correct answer! The perimeter of a triangle is 135. The sides have lengths a, b, and c. The ratio of a to b is 3:5 and the ratio of a to c is 6:11. Find the length of each side of the triangle.

Answers

9514 1404 393

Answer:

  (a, b, c) = (30, 50, 55)

Step-by-step explanation:

If we rewrite the ratio of A to B so it has the same number of ratio units as in the ratio of A to C, we have ...

  A : B = 3 : 5 = 6 : 10

  A : C = 6 : 11

so ...

  A : B : C = 6 : 10 : 11

The total number of ratio units is 27. They stand for 135 real units, so each one stands for 135/27 = 5 real units.

Multiplying the last ratio statement by 5, we find the lengths of each of the sides.

  A : B : C = 6 : 10 : 11 = 30 : 50 : 55

The side lengths are (a, b, c) = (30, 50, 55).

The bakers at Healthy Bakery can make 310 bagels in 2 hours. How many
bagels can they bake in 20 hours? What was that rate per hour?

Answers

Answer:

The number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

Step-by-step explanation:

Given;

number of bagels in 2 hours = 310 bagels

The rate per hour is calculated as;

[tex]Rate = \frac{310 \ bagels}{2 \ hours}\\\\Rate = 155 \ bagels \ per \ hour[/tex]

In 20 hours, the number of bagels made is calculated as;

Number of bagels = 155 (bagels/hour) x 20 (hour)

                               = 3100 bagels.

Therefore, the number of bagels made in 20 hours is 3100 bagels, at the rate of 155 bagels per hour.

workout the highest common factor of 63 and 105​

Answers

Answer: Detailed Answer:

The Greatest Common Factor (GCF) for 63 and 105, notation CGF(63,105), is 21. Explanation: The factors of 63are 1,3,7,9,21,63; The factors of 105are 1,3,5,7,15,21,35,105.

Step-by-step explanation:

Hope it helps!!!!!

m^2+5=14
[tex] {x}^{2} [/tex]
x2+5=14

Answers

Answer:

okeed

Step-by-step explanation:

are these correct? i hate how the teacher had me do this.but picture above. ​

Answers

Answer:

Yes they are correct

Step-by-step explanation:

YES! I did the equation myself and you’re right

Convert 6 months to​ years

Answers

Answer: 0.500001

Step-by-step explanation: Hope that helps!

Lin’s family has completed 30% of a trip. They have traveled 60 miles. How far is the trip?

Answers

Answer:

50 miles

Step-by-step explanation:

Please Brainiest It will help me get to my quest!!??!?!

Answer:

200 miles

Step-by-step explanation:

30%=60

60x3=180

180=90

60/3= 20

20=10%

180+20=200

You bought a two liter container of cooking oil for $2.50. What is the cost per liter?

Answers

Answer:

$1.25

Step-by-step explanation:

$2.50 / 2 = $1.25 per liter

Answer:

$1.25

Step-by-step explanation:

.25 + .25= .50

$1.00 + $1.00 = $2.00

$2.00 + .50 = $2.50

A ccompany offers free shipping on orders that weigh less than 3,000 grams. How much is this in kilograms. Be sure to include the correct unit in your answer.

Answers

Answer:

The answer is 5 Kilos.

Step-by-step explanation:

There are 1000 grams in 1 Kilo, thus 1000g= 1k, so 5000g=5k.

Answer:

its 3kg

Step-by-step explanation:

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