Find the area of the shaded sector of circle O. Answer in terms of pi

Find The Area Of The Shaded Sector Of Circle O. Answer In Terms Of Pi

Answers

Answer 1

Answer:

40

Step-by-step explanation:

Because 10 times 4 is 56

Answer 2

The shaded region is 1/4 of the whole circle. Thus, the area of the shaded region is 78.5 square units.

What is the area of the sector?

Let r be the radius of the sector and θ be the angle subtended by the sector at the center. Then the area of the sector of the circle will be

Arc = (θ/2π) πr²

The radius is 10 units and the angle is π/2. Then the area of the shaded region is calculated as,

A = [(π/2)/2π] π x 10²

A = 3.14 x 10 x 10 / 4

A = 78.5 square units

More about the area of the sector link is given below.

https://brainly.com/question/7512468

#SPJ2


Related Questions

A tool box has the dimensions of 9 in by 3 in by 5 in. If Jesse plans to double all three dimensions to build a larger tool box, he believes he would double the volume of the tool box. Is he correct?

Answers

Answer:

No, the volume will be incresed by 8 times (2x2x2=8)

Step-by-step explanation:

[tex]Volume=3*5*9=135 in^{3} \\increased -Volume=6*10*18=1080 in^{3}\\\frac{1080}{135} =8[/tex]

What is the slope in this equation? Y=3x

Answers

Answer:

3

Step-by-step explanation:

y = mx + b

m = slope

In this equation,

m = 3

Thus, the slope, or m, is 3.

General equation for slope-intercept form

y=mx+C

where m is slope

Comparing the given eqn y=3x

m= 3

Therefore, slope = 3

The following figure shows ABC with side lengths to the nearest tenth. Find BC in ABC. Round to the nearest tenth. BC=

Answers

The figure of the triangle is missing, so i have attached it.

Answer:

BC = 5.4

Step-by-step explanation:

From the attached triangle image, we are given 2 angles, but we need to find the third angle before we can find BC.

We know that sun of angles in a triangle is 180°.

Thus;

∠A = 180 - (∠C + ∠B)

∠A = 180 - (24 + 130)

∠A = 26°

Now, from sine rule, we can find BC.

BC/sin A = AB/sin C

Thus;

BC = (AB sin A)/sin C

BC = (5 × sin 26)/sin 24

BC = 5.389

Approximating to the nearest tenth gives;

BC = 5.4

Missy’s rotation maps point K(17, –12) to K’(12, 17). Which describes the rotation?

Answers

Point K is in the 4th quadrant, then it goes into the first quadrant. So this means the rotation could be 90 degrees counterclockwise or 270 degrees clockwise.

The answer is 90 degrees counterclockwise or 270 degrees clockwise.

Are the following polygons similar explain

Answers

Answer: No, they are not similar.

Technically, we don't have enough info so it could go either way.

==========================================================

Explanation:

We can see that the sides are proportional to each other, but we don't know anything about the angles. We need to know if the angles are the same. If they are, then the hexagons are similar. If the angles are different, then the figures are not similar.

Right now we simply don't have enough info. So they could be similar, or they may not be. The best answer (in my opinion) is "not enough info". However, your teacher likely wants you to pick one side or the other. We can't pick "similar" so it's best to go with "not similar" until more info comes along the way.

This scale is used on a map.
Scale
1 centimeter = 4 miles
On the map, the distance between Lake Moore and Lake Wyman is 4.5 centimeters. Which of the
following is closest to the actual distance between Lake Moore and Lake Wyman?
A. 1.1 miles
B. 8.5 miles
C. 9.0 miles
D. 18.0 miles

Answers

Answer: D

Explanation:

What is the value of h in the equation 2h + 5 = 11?

Answers

Answer:

3

Step-by-step explanation:

2h+5=11

2h=11-5

2h=6

Both side divided by 2

h=6

Answer:

h = 3

Step-by-step explanation:

2h + 5 = 11

2h + 5 - 5 = 11 - 5

2h = 6

2h ÷ 2 = 6 ÷ 2

h = 3

Geometry Math show work thanks

Answers

Answer and Step-by-step explanation:

In a polygon, when a shape is similar but dilated, the angles are still congruent.

Also, turn the pentagon QRSTP counterclockwise 90 degrees so it is upright and looks like pentagon ABCDE (making it easier to read).

A. The measure of angle P is 124 degrees, as it matches up with angle E.

B. To find the length of side r, we need to find the scale factor. We do this by looking at the given side on pentagon QRSTP (side RS) and match it with its similar side of pentagon ABCDE (side BC)

To find the scale factor, you divide the side of the bigger shape by the side of the smaller shape. For us, this results in the scale factor being 2.

Now, the similar side to r is side ED. We need to divide 7.5 by 2 to find r.

When doing so, we get r to be 3.75.

#teamtrees #PAW (Plant And Water)

$2300 at 10% for 3 years?

Answers

Answer: 690 dollars

Step-by-step explanation:

REALLY IMPORTANT

no files or im reporting your answer

Answers

Answer:

(-3,-3) and at (0,6)

Step-by-step explanation:

The solution to the system of equations is where they intersect

The graphs intersect and (-3,-3) and at (0,6)

which expression is equivalent to the expression shown!

Answers

Answer:

Answer is Option A

Step-by-step explanation:

3 / 2 x - 1 /2

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

D

Step-by-step explanation:

Given

- [tex]\frac{1}{2}[/tex] ( - [tex]\frac{3}{2}[/tex] x + 6x + 1) - 3x ← distribute parenthesis

= [tex]\frac{3}{4}[/tex] x - 3x - [tex]\frac{1}{2}[/tex] - 3x

=  [tex]\frac{3}{4}[/tex] x - 6x - [tex]\frac{1}{2}[/tex]

= [tex]\frac{3}{4}[/tex] x - [tex]\frac{24}{4}[/tex] x - [tex]\frac{1}{2}[/tex]

= - [tex]\frac{21}{4}[/tex] x - [tex]\frac{1}{2}[/tex]

= - 5 [tex]\frac{1}{4}[/tex] x - [tex]\frac{1}{2}[/tex] → D

Please help! Use the graph to write an explicit function to represent the data and determine how much money Shelley earned in week 5.
a.)f(n) = 5(3)n − 1; f(5) = 405
b.) f(n) = 6(3)n − 1; f(5) = 486
c.)f(n) = 6(3)n; f(5) = 1,458
d.)f(n) = 6(3)n + 1; f(5) = 4,374
I WILL VOTE BRAINLIEST!

Answers

Hola me han dado cuenta que ha sido el teléfono del teléfono y me han dicho nada que han dado

What are all of the factors pair’s of 24

Answers

Answer:

1,24 2,12 3,8 4,6

Step-by-step explanation:

that's all of them

Aubrey can spend at most $100 more on her credit card. She bought a pair of shorts for $20, and sees a sales t-shirt at $15 per shirt. How many t-shirts can Aubrey buy with her $100 budget? Which of the following equations fits this situation?

Answers

Answer:

its the last one

Step-by-step explanation:

15x + 20 = ≤ 100

this means 15 times how many t-shirts + 20 is less than or equal to 100, which represents the question.

Find the solution set of this inequality. Enter your answer in interval notation using grouping symbols. -2x+5<3

Answers

Answer:

( 1 , ∞ )

Step-by-step explanation:

Interval notation rounds up to infinite

(1,infinity),,,,,,,,,

10.) Find the radius of a cylinder that has a height
of 5 inches and a volume of 251 2 cubic inches.

Answers

Answer:

Radius is 4.297

Step-by-step explanation:

Hieght=5

Surface Area=251

Answer:

Its r = 3.99898596 in

Step-by-step explanation:

It should be the answer if the volume is 251.2. But it confuses people like is it 251 2 or 251.2. Hope that helps

Which of the following is equal to √^3√5
5^1/3
5^1/6
5^2/3
5^3/2​

Answers

I think it’s number 3

For about 10 years after the French Revolution, the French government attempted to base measures of time on multiples of ten: One week consisted of 10 days, one day consisted of 10 hours, one hour consisted of 100 minutes, and one minute consisted of 100 seconds. What are the ratios of (a) the French decimal week to the standard week and (b) the French decimal second to the standard second

Answers

Answer:

[tex](a)\ Ratio = 1.43[/tex]

[tex](b)\ Ratio = 0.864[/tex]

Step-by-step explanation:

Given

[tex]French\ Week= 10\ days[/tex]

[tex]French\ days= 10\ hours[/tex]

[tex]French\ hours= 100\ minutes[/tex]

[tex]French\ minutes= 100\ seconds[/tex]

Solving (a): Ratio of french minute to standard week

This is calculated as:

[tex]Ratio = \frac{French\ week}{Standard\ week}[/tex]

[tex]Ratio = \frac{10\ days}{7\ days}[/tex]

[tex]Ratio = \frac{10}{7}[/tex]

[tex]Ratio = 1.43[/tex]

Solving (b): Ratio of french second to standard second

This is calculated as:

[tex]Ratio = \frac{French\ second}{Standard\ second}[/tex]

Convert french days to seconds

[tex]French\ days= 10\ hours[/tex]

[tex]French\ days = 10hr * 100mins/hr * 100secs/min[/tex]

[tex]French\ days = 10 * 100 * 100secs[/tex]

[tex]French\ days = 100000\ secs[/tex]

This gives:

[tex]French\ second = \frac{1}{100000}day[/tex]

For standard day, we have:

[tex]Standard\ second = \frac{1}{86400}day[/tex]

So, we have:

[tex]Ratio = \frac{1/100000}{1/86400}[/tex]

Rewrite as:

[tex]Ratio = \frac{1}{100000} \div \frac{1}{86400}[/tex]

[tex]Ratio = \frac{1}{100000} * \frac{86400}{1}[/tex]

[tex]Ratio = \frac{86400}{100000}[/tex]

[tex]Ratio = 0.864[/tex]

A pair of parallel lines is cut by a transversal:
What is the measure of angle x?

Answers

Answer:

90 degrees.

Step-by-step explanation:

You have two lines that will never intersect. You are cutting the line into two pieces. A line is 180 degrees. Half of 180 is 90.

Place these lengths in order of size with the smallest first:
4.5m, 4.93cm, 475.9mm, 47.3m

Answers

Answer:

4.93 cm 475.9 mm 4.5 m 47.3 m

Step-by-step explanation:

mmmmmmmmmmmmmmmmmmmmmmm

Musical High School has a band that contains four members: (A)vi, (B)rianna, (C)alvin, and (D)achen. Students in the high school must vote for who they like in the band, and they can vote for none of them or for one or more members of the band. There are 3000 students in the school (including the band members), but the band members cannot vote. 1000 students vote for member A. 1000 students vote for member B. 1000 students vote for member C and 1000 vote for member D. 250 students vote for both A and B. 250 students vote for both A and B. 250 students vote for both A and C, 250 students vote for both A and D. 250 students vote for both B and C. 250 students vote for both B and D. 250 students vote for both C and D. 100 students vote for A,B, and C. 100 students vote for A,B, and D. 100 students vote for A,C, and D. 100 students vote for B,C and D. 50 students vote for all of them. What is the number of students that voted for no one?

Answers

Answer:

146 didn't vote

Step-by-step explanation:

With this situation, start from the vote for all 4, then move onto the vote of 3 out of 4, then the vote of 2 of the 4 and lastly deal with with the vote of 1 out of the 4;

I've tabulated it in the attached excel document;

First, there are 50 votes for A, B, C and D;

Then there are 100 votes for B, C and D;

Now, the 50 who voted for all 4 are included in the 100 for B, C and D because someone who votes for A, B, C and D has voted for B, C and D;

This means we need to deduct 50 from 100 to get 50, which is the number of voters who voted for B, C and D, but not A;

This is done for all the options where students voted for 3 of the 4;

For those who voted C and D, there are 250, but this will include the 50 who voted A, C and D, the 50 who voted B, C and D and the 50 who voted A, B, C and D;

So, we have to subtract 3×50 (= 150) from 250 to get 100 as is shown in the table;

The table is quite helpful as it shows clearly who will be included in the numbers given in the question info;

We do the same for all those who vote for 2 of the 4;

For those who voted just D, we need to add the votes of all those who voted for D and anyone else, which is 500, and subtract this from the total number of votes for D, which is 1000;

And similarly, we do the same for A, B and C as well;

Now, we can sum all the votes, which gives 2850 and subtract this from the total number of voters, which is 2996 (remember we have to exclude the 4 band members as they can't vote);

This gives us:

2996 - 2850 = 146

What is the measurment of angle P

Answers

Answer:

65°

Step-by-step explanation:

The sum of the angles of a triangle is always 180°. Meaning, ∠P + ∠Q + ∠R = 180.

(2x-9) + (2x+4) + x = 180

Combine like terms:

5x-5 = 180

5x = 185

x = 37

P = (2x - 9) = 2(37) - 9 = 74 - 9 = 65

Can someone help with this please??

Answers

Answer:

Hannah has 56

Step-by-step explanation:

Hannah receives 7 for every 3rd Zoe gets. Take Zoe's amount, divide it by three, and you get 8. 8*7 is 56.

Please help, it’s due tonight. I do have my answer I just need help explaining how it work for any number..

Answers

Answer:

Yes it is 10!

Step-by-step explanation:

5+20=25

25x5=125

125+125=250

250-200=50

50/5=10

What is the range of the function pictured below?

Answers

Answer:

0 ≤y ≤ 60

Step-by-step explanation:

The range is  values the y can take

y goes from 0 to 60

10 ≤y ≤ 60

The population of a school is 800 students and is increasing at a rate of 2% per year. Write
an exponential growth function, then find the population of the school after 9 years.
Why is it not giving the right answer

Answers

Answer:

After 9 years the population would be 956. The exponential growth function would be [tex]x(956)=800_{0} (1+\frac{2}{100})^{9}[/tex]

Step-by-step explanation:

y=a(1+r)x

a = initial amount

r = growth rate as a decimal

x = number of time intervals passed (days, months, years)

y = amount after x time

This formula is used to express a function of exponential growth.

F(x)=3x+1, g(x)= x^2, h(x)=x+3, find f(x) + h(x)

Answers

Answer:

4x+4

Step-by-step explanation:

F(x)=3x+1, h(x)=x+3

f(x)+h(x) = 3x+1 +x+3

             =4x+4

hi please help will mark brainliest​

Answers

Answer:

Carlie is correct he or she has the best and most were to explain the answer.

Step-by-step explanation:

Which relation is a function? A. (1,0) (3,0) (1,1) (3,1) (1,3). B. (1,1) (2,2) (3,3) (4,4) (5,8). C. (2,7) (6,5) (4,4) (3,3) (2,1). D. (9, -3) (9,3) (4, -2) (4,2) (0,0)

Answers

Answer:

B

Step-by-step explanation:

find the equation of the line that goes through points (3,2) and has a slope of -3/2

Answers

Answer:

y = -3/2x + 13/2

Step-by-step explanation:

y = -3/2x + b

2 = -3/2(3) + b

2 = -9/2 + b

13/2 = b

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