The circumference of a circle is 22π in. What is the area, in square inches? Express your answer in terms of π

Answers

Answer 1

Answer:

A = 121 pi in^2

Step-by-step explanation:

The circumference is given by

C = 2 * pi*r

22 pi = 2 * pi *r

Divide each side by 2 pi

22 pi / (2 pi) = 2 pi r / (2pi)

11 = r

Now find the area

A = pi r^2

A = pi (11)^2

A = 121 pi in^2


Related Questions

Find the measure of ZBAC.

Answers

Answer:

[tex] = \frac{57}{2} \\ = 28.5[/tex]

Find the maximum value of
P = 4x + 5y
subject to the following constraints:
x + 3y = 13
3x + 2y < 25
X>0
y>0
P = [?]

Answers

Answer:

38 is the maximum value

Step-by-step explanation:

First we should graph each inequality. Then we can find the points on the intersecting region and take those points and plug them into the equation P = 4x + 5y. Then we can find the maximum value from there. The maximum value is tied to the point (7, 2), with P = 38. :)

A student must have at least 10 hours of instructor-assisted driving time to pass
the course. Write an inequality to describe this situation.

Answers

Answer:

t ≥ 10

Step-by-step explanation:

Since the student needs at least 10 hours of driving time, they need greater than or equal to 10 hours to pass.

A 24-ounce can of mixed nuts contains 50% peanuts, 0.20 almonds, 1/10 cashews, and 0.20 hazelnuts. Which of the following represents the total amount of almonds and hazelnuts in the can?

Answers

Answer:

9.6 ounces

Step-by-step explanation:

Step 1

We find the amount of ounces of Almonds

Total amount of nuts in the container = 24 ounces

0.20 of the nuts are almonds.

Hence,

The amount of almonds = 0.20 × 24 ounces

= 4.8 ounces

Step 2

We find the amount of ounces of hazelnuts

Total amount of nuts in the container = 24 ounces

0.20 of the nuts are hazelnuts.

Hence,

The amount of hazelnuts = 0.20 × 24 ounces

= 4.8 ounces

Step 3

Therefore, the total amount of almonds and hazelnuts in the can is

4.8 ounces + 4.8 ounces

= 9.6 ounces

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answers

Complete question :

The 100m dah times in the girl's track meet were normally distributed with a mean of 13 seconds and a standard deviation of 0.3 seconds.

Lana finished the race in 13.2 seconds . If 84 other girls ran in the event, approximately how many runners did she beat?

Answer:

21 runners

Step-by-step explanation:

Mean, μ = 13 seconds

Standard deviation, σ = 0.3

Lana's race time = 13.2

We find the proportion of runners who had race time above 13.2 ;

Proportion of who had race tune above 13.2

P(x > 13.2)

Obtain the Zscore

Zscore = (x - μ) / σ

Z = (13.2 - 13) / 0.3

Zscore = 0.2 / 0.3 = 0.6667

P(Z > 0.6667) = 0.25239 (Z probability calculator)

This is about 0.25239 * 100 = 25.24% = 25% (nearest percent)

Hence, Number of runners Lana beat = 25% of total runners ;

0.25 * 84 = 21

Hence, Lana beat about 21 runners

what is the circumference of circular ground in diameter d m ? Find it​

Answers

The diameter od the ciruclar ground given the circumference is  126 m.

What is the diamter of the ciruclar ground?

The circumference of a circle is the distance round the circle. The diameter of a circle is a straight line that touches two points on the circumference of a circle and also passes through the center.

Diameter = cirucumference / pi

396 ÷ 22/7 = 126 m

Here is the complete question: The circumference of a circular ground is 396meter find its diameter

To learn more about how to determine the circumference of a circle, please check: https://brainly.com/question/14351152

5 m 5 m 4 m 6 m 4 m 5 m 3 m What is the area of the figure? A. 22 m2 B. 30 m C 33 m2 D 42 m² E 50 m²​

Answers

Don’t click that link it’s a scam

Hi Is 4/8 equal 8/10

Answers

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

No

0.5 ≠ 0.8

<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3<3

Answer:

No, it is not.

Step-by-step explanation:

The reason is that if you simplified  4/8, you will get 1/2. When you simplified 8/10, you will get 4/5. 1/2 and 4/5 aren't the same number or equivalent to each other so the answer will be no.

Hope that helps. If you need help with anything, let MissAsker know :)!

Hans invests $550 at a rate of x% per year compound interest. At the end of 10 years, the value of the investment is $638.30, correct to the nearest cent.
Find the value of x.

Answers

Answer:

1.5%.

Step-by-step explanation:

x per cent is written as 0.01x as a decimal fraction.

638.30 = 550(1 + 0.01x)^10

(1 + 0.01x)^10 = 638.30/550

Taking logarithms:

10 ln (1 + 0.01x) = ln ( 638.30/550)

ln (1 + 0.01x) =  ln ( 638.30/550)/ 10

ln(1 + 0.01x) = 0.014889

Converting the logs:-

1 + 0.01x = e^0.014889 = 1.015

0.01x = 1 - 1.015

0.01x = 0.015

x = 0.015/ 0.01

= 1.5.

50 POINTS
If A denotes the area of the sector of a circle of radius r formed by the central angle theta, find the missing quantity. if necessary, round the answer to two decimal places.

r=9 inches, theta = pi/6 radians, A=?

Answers

Answer:

Step-by-step explanation:

Area of sector = ½ r² ∅

1/2 ( 9^2) pi/6

81 x pi/6 x 1/2

81 x (0.52359877559) x 1/2

Area of sector = 21.21

.................................

Answers

Its a pull and the location has to be less than 400N

Lizzie rolls two dice. What is the probability that one of the dice shows a 6 or the
the total sum of both dice is a prime number (or both)?

I really need the answer pls I have to submit this really quickly

Answers

Answer:

5/12

Step-by-step explanation:

one if duce shows a 6 =>

(6,..) and (..,6) => 11 events

both dice is prime number :(2, 3 &5)

3×3 = 9 events

total events = 11+9=20 events

so, probability = P = 20/36 or 5/12

What is the area of the rectangle below?

Answers

Answer:

5/9m

Step-by-step explanation:

5/6 x 2/3

Given, length = 5/6 m breadth = 2/3 m

To find: Area of the Rectangle

We know that, Area of the Rectangle = l x b

= 5/6 x 2/3

The answer is 10/18

plsssssssss somebodyy helppp meeeee

Answers

80 pounds would be correct
Jessica should weight about 80 pounds

you install 412 feet of fencing along the perimeter of a rectangular yard. the width of the yard is 102 feet. what is the length of the yard?​

Answers

Answer:

Length = x feet = 104 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Length = x feet

Width = 102 feet

Perimeter of a rectangle = 412 feet

Perimeter of a rectangle = 2(length + width)

412 = 2(x + 102)

412 = 2x + 204

412 - 204 = 2x

208 = 2x

x = 208/2

x = 104 feet

Solve for the value of y.
60°
(8y-2)

Answers

since it's a right angle the sum of the two angles equals 90°
(8y-2)°+60°=90°
8y-2=90-60
8y-2=30
8y=30+2
8y=32
y=32/8
y=4

I don't understand. but I think the screenshot will be useful

Answers

Answer:

a) 7, 10, 13, 16, ..., 34

Step-by-step explanation:

I'll only solve part a and you'll be able to do part b.

You're given:

3n+4

to find the first four terms, just plug in n = 1, 2, 3, 4 into n.

for n=1: 3(1)+4 = 7

for n=2: 3(2)+4 = 10

for n=3: 3(3)+4 = 13

for n=4: 3(4)+4 = 16

as you might guess, to find the 10th term, you plug in n=10.

for n=10: 3(10)+4 = 34

Find t:

6 x 10^t = 360

Answers

Answer:

t=1.78

Step-by-step explanation:

t = log (60)
or decimal form: 1.778
rounded is 1.77 or 1.8 if ur going for the nearest tenth

I need help Please and thank you What is the area of the triangle below? 21 yd 14 yd​

Answers

Answer:

147 square yards

Step-by-step explanation:

Area = 21 x 14 x 1/2

Area = 294 x 1/2

Area = 147 yd ^ 2

Hope that helps! :)

-Aphrodite

area of triangle is A=1/2(b)(h)
so it would be:
A=1/2(14)(21)
A=1/2(294)
A= 147

Help me please. Algebra 2 is sooooo hard. I’m about to give up an fail this class

Answers

Answer:

ex2 = e4x+5 --> 5, -1

ln(x+5)=ln(x-1)+ln(x+1) --> 3

log(4)(5x^(2)+2)=log(4)(x+8) --> -1, 6/5

log(x-1)+log5x=2 --> 5

Step-by-step explanation:

None needed

Who is able to solve this problem for me please!!!!!!!!!!
Brainiest will be marked!!!!

No link i can’t open it!!!

Answers

Answer:

11

Step-by-step explanation:

I did the square root method.

hope this helps!

The sum of 2 angles in a triangle measure 83 degrees. One angle has a measure of 54. What is m, the measure of the third angle

Answers

Answer:

44.82

Step-by-step explanation:

83 x 54 = 4482

4482 ÷ 100 = 44.82

Mark as brainllest

Answer:

Let the angles be x, y and z.

We have:

x + y = 83° and x = 54°Sum of three angles is 180°

Then z is:

z = 180° - 83° = 97°

And y is:

y = 83° - 54° = 29°

please help me with this i will give brainliest

Answers

Answer:

the first one and the last one,

Step-by-step explanation:

I took the test :) hope you pass

does anyone know how to do this?

Answers

Answer:

AB=24

BC=32

AC=40

Step-by-step explanation:

Double means to multiply by 2 so do that for each side

AB=12*2=24

BC=16*2=32

AC=20*2=40

Please help asap!!!!!!!!!!!!11

Answers

I cannot help you but you can try making a graph (if you don't know how to do that I can show you) and using a pen to see where it would go.

(sorry for my bad English I'm Japanese)

Can someone help me with this I need a answer ASAP

Answers

C: 62.8

If this helped please give thanks and maybe mark brainliest! Thanks!

Answer:

62.8 mm

Step-by-step explanation:

C= 2 X pi X r = 2 X pi X 10mm = 20 pi mm = around 62.8 mm

r = d/2 = 20mm/2 = 10mm

Marking brainliest! its due today, so pls do your best thank you!!

Answers

Answer:

Question 1: x = 3, y = 2

Question 2: x = 0.5

Step-by-step explanation:

Question 1 explanation: In a parallelogram, both the horizontal and the vertical sides are equal, this means that [tex]2y + 3 = y + 5[/tex] ⇒ [tex]y = 2[/tex]. Since you've already figured out the value of y, you can input the value to side QR to help find x. [tex]4x-3=4*2+1[/tex] ⇒ [tex]4x-3=9[/tex] ⇒ [tex]4x=12[/tex] ⇒ [tex]x=3[/tex]. So x equals 3 and y equals 2.

Question 2 explanation: Since side AE is equivalent to side EC, that means quadrilateral ABCD is a parallelogram. In a parallelogram, the diagonal lengths from the corners of the shape to the center are equal, which means [tex]10x = 2x + 4[/tex] ⇒ [tex]8x=4[/tex] ⇒ [tex]x = 0.5[/tex].

help me with this math plz​

Answers

Blue- Complementary or Same side Interior Angles
Purple- Alternate Exterior Angles, or Vertical (Probably the first)
Green- Corresponding Angles

I need help please ty

Answers

Answer:

Step-by-step explanation:

dads know dude

Ifm_2 = 68°, what is the measure of angle 7? 1 2. 3 5 7​

Answers

Answer:

∠7=22°

Step-by-step explanation:

∠2 and ∠7 are supplementary angles, meaning they add to 90°.

∠2+∠7=90°

substitute ∠2

68°+∠7=90°

∠7=22°

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