find the area of the shaded segment of the circle

Find The Area Of The Shaded Segment Of The Circle

Answers

Answer 1

9514 1404 393

Answer:

  (3/2π -(9/4)√3) m² ≈ 0.8 m²

Step-by-step explanation:

The area of the segment is the difference between the area of the sector and the area of the triangle.

  sector area = 1/2r²α . . . . where r is the radius and α is the central angle in radians

  triangle area = 1/2r²·sin(α) . . . . same variable definitions

Then the area of the segment is ...

  segment area = sector area - triangle area

  segment area = (1/2)r²(α -sin(α))

The central angle subtended by the segment is 360° -300° = 60° = π/3 radians

Then the segment area is ...

  A = (1/2)(3 m)²(π/3 -√3/2) = (3/2π -(9/4)√3) m² ≈ 0.8 m²


Related Questions

A scientist uses 20 grams of carbon every 10 minutes during an experiment. If the experiment lasted 2 hours, how many total kilograms of carbon did they use?

Answers

240 grams or 0.24 kilograms I think

Answer:

240 grams

Step-by-step explanation:

63°
13°
Choose the equation that best describes the image.

Answers

Answer:

13+63 if I'm not wrong......

What is the median value of the data set shown on the line plot?
Enter your answer in the box.
Help

Answers

Answer: 30

Step-by-step explanation:

You put the numbers from least to greatest. 27,28,28,29,29,29,30,30,30,31,31,31,33,34. Then the median would be 30 and 30. So then you would add the two numbers 30 + 30 then divide by 2. 60/2 and the answer would be 30. Hopefully that was helpful.

If you know this you’re very smart!

Answers

Answer:

Its B and its not that hard because im doing that rn lol but do you need me to explain?

Step-by-step explanation:

Help ASAP HELP ME PLEASE HELP

Answers

81+4x+5x+18=180
9x+99=180
9x=81
x=9
I hope I help you

ZABD and ZDBC are supplementary angles.
What is the measure of x?
X = = [?]°
D
AT
120%
B
C С
Angles are not drawn to scale.
Enter

Answers

Answer:

60

Step-by-step explanation:

supplementary angles add to 180 degrees. 180-120=60.


The formula of calculating the gradient of a line is

Answers

Answer:

To calculate the gradient of a straight line we choose two points on the line itself. From these two points we calculate: The difference in height (y co-ordinates) ÷ The difference in width (x co-ordinates). If the answer is a positive value then the line is uphill in direction.

Find the exact area of each circle

Answers

9514 1404 393

Answer:

  225π ft²

Step-by-step explanation:

The area of the circle is given by the formula ...

  A = πr²

The figure shows the radius (r) is 15 ft. Using that value, we find the area to be ...

  A = π(15 ft)²

  A = 225π ft² . . . . exact area of the circle

How to convert kilometres to minutes

Answers

Here you go I took from video but its really easy way to solve this problem

Which of these groups of relative frequencies would be best represented by a
pie chart?
A. 16%; 18%; 17%; 16%; 17%; 16%
B. 20%; 19%; 21%; 20%; 20%
C. 6%; 14%; 80%
D. 25%; 24%; 26%: 25%

Answers

Answer:

C

Step-by-step explanation:

different size wedges would be the most visibly different

c is the answer hope this helps

Can someone help me with 1 2 and 3 please

Answers

Answer:

1. vertical angles

2. 90°, complementary

3. 180°, supplementary

Answer:

1) Vertical angles

2) 90°, complementary

3) 180°, supplementary

Step-by-step explanation:

1) Intersecting lines form vertical angles.

According to the word problem, ∠APC and ∠DQB are formed by intersecting lines, meaning they are vertical angles.

2) ∠AQV is 30°, and ∠VQT is 60°.

30° + 60° = 90°. The sum of these angles is 90°.

And, complementary angles are two angles with measures that sum up to 90°.

3) ∠AQC is 150°, because 30° + 60° + 60° = 150°.

∠CQB is 30°.

And, 150° + 30° = 180°.

Supplementary angles are two angles with measures that sum up to 180°.

25 points!!!

A system of equations is shown.
2x + 2y = 24
X = 3y

What is the value of x + y?

Enter your response here: Only 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, -, -, and / are allowed in your answer.
Answers that are mixed numbers must be entered as an improper fraction or a decimal.​

Answers

Answer:

x+y=12

Step-by-step explanation:

First, substitute 3y for the spots with x:

2(3y) + 2y = 24

6y+ 2y = 24

8y= 24

y= 3

Then sub in 3 in the y place:

x= 3(3)

x= 9

Then plug in the x and y values in the equation:

9 + 3 =12

Good Luck!!!

plz mark me Brainliest!

Kenzie finds purple, blue, and silver space rocks while exploring, 2/3 of the rocks are purple and 3/4 of the remainder are blue. If there are 3 silver rocks, how many space rocks does Kenzie have?a

Answers

Answer:

There were 36 space rocks in total.

Step-by-step explanation:

First, you need to find what fraction of the original rocks are silver.

If 2/3 are purple, then 1/3 of them are not.

If 3/4 of the remaining 1/3 are blue, then 3/4 x 1/3 = 3/12 rocks are blue.

2/3 of the rock are purple, 3/12 of them are blue, and the remaining is silver.

So, you need to do 2/3 - 3/12, then find common denominators so, 8/12 - 3/12 which = 1/12.

This means 1/12 of the rocks are silver. If there are silver rocks, you need to find a suitable equation that needs to be solved.

So:

1/12r = 3

r = 36 silver rocks

There were 36 space rocks in total.

hope this helps :)

Ídek I wish I can help you sorry

In the formula, l = a + (n - 1)d make d as the subject. Find d when l = 10, a = 2, n = 5.

Answers

Answer:

d=2

Step-by-step explanation:

l=a+(n-1) d

10=2+(5-1)d

10-2=4d

8=4d

d=2...

Answer:

2

Step-by-step explanation:

I = a + (n - 1)d

10 = 2 + (5 - 1)d

10 = 2 + 4d

10 - 2 = 4d

8 = 4d

d = 2

In a class of 50 students, 20 play hockey and 35 play football . 10 students play both hockey and football.​

Answers

You are missing the question

Manny goes bowling.

- He has $25.00 to spend.

- He spends $4.25 to rent shoes.

- He spends $2.50 for each game he bowls.

Which inequality can Manny use to determine x, the greatest number of games he can bowl?

A. 2.5+4.25x≥25

B.4.25+2.5x≥25

C. 2.5+4.25x≤25

D. 4.25+2.5x≤25

Answers

Answer:

D

Step-by-step explanation:

D is the answer because spend satisfied value not more than 25

Find the critical value t for the confidence level c= 0.98 and sample size n=7.
Click the icon to view the t-distribution table.
=(Round to the nearest thousandth as needed.)

Answers

Answer:

The critical value is T = 3.143.

Step-by-step explanation:

The first step to solve this problem is finding how many degrees of freedom, we have. This is the sample size subtracted by 1. So

df = 7 - 1 = 6

98% confidence interval

Now, we have to find a value of T, which is found looking at the t table, with 6 degrees of freedom(y-axis) and a confidence level of [tex]1 - \frac{1 - 0.98}{2} = 0.99[/tex]. So we have T = 3.143.

The critical value is T = 3.143.

Which value is equivalent to V-25?
A. -5i
B. -5
C. 5
OD. 5i​

Answers

Answer:

[tex]\sqrt{-25} = 5i[/tex]

Step-by-step explanation:

Given

[tex]\sqrt{-25[/tex]

Required

An equivalent

We have:

[tex]\sqrt{-25[/tex]

Express -25 as -1 * 25

[tex]\sqrt{-25} = \sqrt{-1 * 25}[/tex]

Split

[tex]\sqrt{-25} = \sqrt{-1} * \sqrt{25}[/tex]

[tex]\sqrt{25} = 5[/tex], so:

[tex]\sqrt{-25} = \sqrt{-1} * 5[/tex]

[tex]\sqrt{-1} = i[/tex] --- complex numbers

So:

[tex]\sqrt{-25} = i * 5[/tex]

[tex]\sqrt{-25} = 5i[/tex]

Hence, the equivalent is (D)

Edwin is making brownies. He has m cups of flour. He realized that he needs 3/4 more flour than he currently has to make the brownies. Which expression represents the total amount of flour he needs to make the brownies? ​

Answers

Answer:

3/4 + m

Step-by-step explanation:

Answer:

3/4 + m

Step-by-step explanation:

State the name of the property illustrated. 5 + [7+(4)] = (5+7) + (4)

A. Communtative property of addition
B. Identity property of addiction
C. Associative property of addition

Answers

The answer is C. Associative property of addition

25, 87, 90, 25, 67
Mean:
Median:
Mode:
Range:

500,100,300,300,500,100

Mean:
Median:
Mode:
Range:

5,5,4,4,3,3,2

Mean:
Median:
Mode:
Range:

Answers

Answer:

mean number 1 25+87+90+25+67=294 294/5 58.8 question 2 500+100+300+300+500+100=1800 1800/6 =300

Answer:

Step-by-step explanation:

Mean: 289 (not sure)

Median: 90

Mode: 25

Range: 65

Mean: 1794 (still not sure)

Median: 300

Mode: 400?

Range: 400

Mean: 19

Median: 4

Mode: i dont know

Range: 3

Find the total surface area. Round to the nearest hundredth if necessary.

Answers

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

Which function describes this table of values
Is it A or B or C or D

Answers

Answer:

c

Step-by-step explanation:

A pole that is 2.5 m tall casts a shadow that is 1.07 m long. At the same time, a nearby tower casts a shadow that is
37.25 m long. How tall is the tower? Round your answer to the nearest meter.

Answers

Answer:

The tower is 61.65 meters tall.

Step-by-step explanation:

what equation represents a line that when if graphed, passes through the points (0, -1) and
(1, 1).

Answers

Y= 2x-1
Explanation: First, you find slope. If the first point it x-axis point is 0 and the second x-axis point is 1 then you already know the answer is over 1, so you have to figure out how many up you are going on the y-axis from -1 to 1. Which is 2, so your slope is 2/1 or just 2. Next, you find your y-intercept, which is where the line crosses the y-axis, and the easy way to find this is finding what y is equal to when x is equal to 0, in the problem you are told (0, -1) as a point, so they gave you your y-intercept right there, which is -1. Finally you right the equation in slip intercept form (y= mx+b) which is y= 2x-1

What is the slope of the line perpendicular to 2x-3y=8

Answers

Answer:

y = - [tex]\frac{3}{2}[/tex]x - [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

2x-3y=8

rewrite, solve for y

3y = 2x - 8

divide by 3

y = [tex]\frac{2}{3}[/tex]x - [tex]\frac{8}{3}[/tex]

perpendicular = negative reciprocal slope = - [tex]\frac{3}{2}[/tex]

Which input value produces the same output value for the two functions on the graph?

Answers

Answer:

x=3

Step-by-step explanation:

Please make sure to add more information to the question next time. I had to do some research to find which question you are talking about. I hope this is one of the answer options because you didnt provide any of the answer options. Thanks :)

the intersection of the two lines of a function both equations have the same x and y

therefore,

x=3

Liam invests $5,000 in an account that pays 2.5% compound interest annually. He uses the expression P(1+r)t to find the total value of the account after t years. What will be the total value of the account after 3 years?

Answers

Answer:

The final balance is $5,389.

The total compound interest is $389.

Step-by-step explanation:

If the figure is reflected over the x-axis, what are the coordinates of point R?

Answers

Answer:

R' (3,-3)

Step-by-step explanation:

Find the value of x.

Answers

Answer:

x = 63

Step-by-step explanation:

All triangle angles add up to 180 so:

x + 62 + 55 = 180

x + 117 = 180

x = 180 - 117

x = 63

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