Find the area of the circle that contains the sector described below. Round to the nearest tenth, if necessary.

One sector has an area of 210 square centimeters and an arc measure of 30°.


_____________ cm squared

Answers

Answer 1

Answer:

The area of the circle is 2520 cm²

Step-by-step explanation:

The area of an arc is given by the following formula:

arc area = pi*r²(angle/360)

In this case we have the area and the angle and we want to find r, so we have:

210 = pi*r²*(30/360)

210 = pi*r²*(1/12)

210*12 = pi*r²

pi*r² = 210*12

r² = 2520/pi

r = sqrt(2520/pi)

r = 28.3221

The area of the circle that has this arc is given by:

area = pi*r²

area = pi*(28.3221)² = 2520 cm²


Related Questions

please help!! what is the m<4?

Answers

Answer:

[tex]m\angle 4 = 117\textdegree[/tex]

Step-by-step explanation:

-Both [tex]\angle 1[/tex]and [tex]\angle 4[/tex] are supplementary, which they both equal to [tex]180\textdegree[/tex]. So, to get the measurement of [tex]\angle 4[/tex], you need to subtract measure of [tex]\angle 1[/tex], from [tex]180\textdegree[/tex] :

-Both [tex]\angle 1[/tex] and [tex]\angle 4[/tex] are supplementary:

[tex]\angle 1 + \angle 4 = 180\textdegree[/tex]

-Find the [tex]m \angle 4[/tex] by subtracting the [tex]m \angle 1[/tex] from [tex]180[/tex] :

[tex]180\textdegree - 63\textdegree = 117\textdegree[/tex]

So, the [tex]m\angle 4[/tex] is [tex]117\textdegree[/tex] .

Which equation would take y = 2x + 5 and make the line steeper, but not
change the y-intercept? *

Answers

Answer:

5x

Step-by-step explanation:

Answer:

y = 4x+5

Step-by-step explanation:

the coefficient of x makes the line steeper when it is increased and the number after the x (5) is the y intercept.

Which line on the graph below has a slope of zero?

On a coordinate plane, line Q is horizontal, line P has a positive slope, line R is vertical, and line S has a negative slope.
P
Q
R
S

Answers

Answer:

Q (B)

Step-by-step explanation:

got it on edge

Answer:

line b

Step-by-step explanation:

A hotel swimming pool is made up of four semicircles and a square. Find the perimeter of the swimming pool. Round your answer to the nearest tenth.

Answers

Where are the measurements?

HELP!!!!!!!!! ASP
A line passes through the points R(–9, 4) and F(1, 2). Two points that lie on a line perpendicular to this line are
Select one:
a.
(–10,–4) and (–5,5)
b.
(10,4) and (5,5)
c.
(15,2) and (24,4)
d.
(2,15) and (4,25)

Answers

Answer:

D

Step-by-step explanation:

What you need to do is find the slope of both lines. Perpendicular lines are the negative inverse of each other. The slope of the lie between points R and F is  (2-4)/(1+9)=-1/5. Now you need to find the line where the slop is 5. If you look at D, the slope of the line those points lie on is (25-15)/(4-2)=5 which makes D the answer.

Answer:

D. (2,15) and (4,25)

Step-by-step explanation:

The slope of the line that passes through (-9,4) and (1,2) is -1/5 so in order to find the slope that is perpendicular to it, you need to find out with of these pairs of points has a slope that is the negative reciprocal of -1/5 which is 5. So the only points that have the slope of 5 are (2,15) and (4,25).

~Please mark me as brainliest :)

Given the function f(x) = 2/3 * x - 5 , evaluate f(9)

Answers

Answer:

1

Step-by-step explanation:

HELP AGAIN (this might be the last question im not sure)

Answers

Answer:

They are supplementary angles and have a turn of 180 degrees

Step-by-step explanation:

I did this before

Answer:

They are supplementary angles and have a turn of 180 degrees

Step-by-step explanation:

What is the volume of the rectangular prism?
Vx
cm
cm
5 cm
A
17 14 cm
183 cm
27 7 2 cm²

Answers

Answer:

V = 159 3/8 cm^3

Step-by-step explanation:

V = l*w*h

V = 8 1/2 * 5 * 3 3/4

Change to an improper fraction

V = 17/2 * 5 * 15/4

V =1275/8

Changing back to a mixed number

8 goes into 1275 159 times with 3 left over

V = 159 3/8 cm^3

Please answer correctly !!! Will mark brainliest !!!!

Answers

Answer:

This answer for the provided question is yes.

If its what I think, The answer would be A. 1 1/5

48/40 = 1 8/40

1 8/40 Simplify to 1 1/5

Hope this helps!

Step-by-step explanation:

Factor 2x2 - 9x - 5 using substitution.

Answers

Answer:

(2x+1)(x−5)

Step-by-step explanation:

If we factor 2x² - 9x - 5 using substitution, we would have; (2x+1)(x−5).

How to factor the expression

The substitution method of factorization requires that we replace it with another variable. Thus, in the expression above, we would first determine the product of the leading coefficient, and find two numbers that add up to the coefficient of the leading term.

The last step is to group the terms and factor the greatest common factor. The result of this factorization would be:

(2x+1)(x−5)

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Just need the answer no work needed thank you

Answers

Answer:

The answer is D 5.75 inches

Step-by-step explanation:

D. 5.75

Step-by-step explanation:

11.5*16*5.75 = 1,058

What substitution should be used to rewrite 6(x + 5)2 + 5(x + 5) – 4 = 0 as a quadratic equation?
- (x+5)
- (x - 5)
Ou-(x + 5)2
u = (x - 5)2

Answers

Answer:

x+5 is replaced

Step-by-step explanation:

6(x + 5)^2 + 5(x + 5) – 4 = 0

Replace x+5 with m

6(m)^2 + 5(m) – 4 = 0

Now this is a quadratic equation

The required substitution is (x + 5) to rewrite 6(x + 5)² + 5(x + 5) - 4 = 0 as a quadratic equation. The correct answer is A. (x+5).

What is a quadratic equation?

The quadratic equation is defined as a function containing the highest power of a variable is two.

The quadratic equation is given as follows:

6(x + 5)² + 5(x + 5) - 4 = 0

Let u = x + 5. Then, we can rewrite the equation 6(x + 5)² + 5(x + 5) - 4 = 0 as:

6u² + 5u - 4 = 0

This is now a quadratic equation in u, which can be solved using the quadratic formula or factoring.

Once we find the solutions for u, we can substitute back u = x + 5 to get the solutions for x.

Therefore, the correct answer is A. (x+5).

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Would you rather have a pool that is 20m×8m×6m OR a pool that is 1550cm×650cm×725cm?

Answers

Answer:

i would have a pool which is 1550cm×650cm×725cm.

Step-by-step explanation:

bigger pools=more fun

Answer:

i would rather have a pool that is 1550cm*650*725

Step-by-step explanation:

i chose this one because it has a bigger shape and its deeper

Veronica has received a $3,000 gift and is looking for a bank to start a savings account. Which option would be the best for her if the current inflation rate is 2.5%?

A. bank that offers 4% interest

B. bank that offers 3% interest

C .bank that offers 2.5% interest

D. bank that offers 3.5% interest

Answers

Answer:

A

Step-by-step explanation:

You are looking for the highest real interest rate, which is the nominal rate minus the inflation rate. With that being said, the lowest interest rate is 2.5%, which wouldn't make her anything. However, the 4% interest rate yields 1.5% real interest, making it the best option.

The best investment option is the option (A), where the interest rate is 4% which is higher than other options.

What is the interest rate?

The amount a lender charges a borrower, expressed as a percentage of the principle, is known as the interest rate.

Given that, the current inflation rate is 2.5%.

Therefore, to make a profitable investment, the interest rate should be more than the inflation rate.

The higher interest rate will give a higher profit.

Therefore, the best investment option is an option (A), where the interest rate is 4% which is higher than other options.

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Find the coordinates of the vertices of the figure formed by each system of inequalities. x + y < 9 x - 2y < 12 y < 2x + 3 a. (0, 0), (0, 1), (2, 0) c. (9, 1), (2, 3), (5, 6) b. (10, -1), (-6, -9), (2, 7) d. (0, -1), (2, -1), (3, 6)

Answers

Answer:

b. (10, -1), (-6, -9), (2, 7)

Step-by-step explanation:

One way to solve this problem is by graphing (see attachment). In fact, that actually is the easiest way to do this.

First, graph x + y < 9 (red part on the attachment). To do this, isolate the y so that it's like a regular linear equation: y < -x + 9. Graph the line y = -x + 9 first, and then choose a point either on the left or right of the line to plug in for x and y.

Let's just choose (0, 0), which is on the left of the line: 0 < -0 + 9  ⇒  0 < 9. Since this is a true statement, we know that we should shade the left side of the equation, and not the right side.

Now, graph x - 2y < 12 (blue part on the attachment). It's the same process here as the first inequality. For this one, we find that we also shade to the "left" of the line (it's more "up" than "left", but you get the idea).

Finally, graph y < 2x + 3 (green part on the attachment). Again, it's the same process. For this, we shade to the right.

Now look at the three points that they intersect at: they are (2, 7), (-6, -9), and (10, -1). The answer is thus B.

Step-by-step explanation:

Step 1:  Graph each of the inequalities

x + y < 9

x - 2y < 12

y < 2x + 3

It comes out that the vertices are (2, 7), (10, -1), and (-6, -9)

Answer:  Option B

You can make one square with four toothpicks. Show how you can make two squares with 10 toothpicks and five squares with 12 toothpicks please help

Answers

Answer:

by doing it the same way you did with the first one.

Step-by-step explanation:

You are going to a baseball game and you love to eat salted peanuts while watching the game. You know that you can buy peanuts there, but you know its cheaper to bring your own. When you go to the grocery store to buy some, you see two choices: $3.59 for a 20 oz bag of salted peanuts or $2.59 per pound for loose salted peanuts.​​

Answers

Answer:

I am assuming you are asking which is the cheaper option per ounce since you did not specify a question.

Option 1: 3.59$ for a 20 oz bag

3.59/20=.1795 $/oz

Option 2: 2.59 per 1 pound

1 pound = 16 oz

2.59/16= .161875 $/ozo

Since .16 dollars is less than .18 dollars, the second option, where 1 pound costs $2.59, is cheaper.

HELP ME QUICK HURYY PLZ ILL GIVE YOU 15 POINTS!!!!!

Answers

Answer:

I think it is the seconds option

Step-by-step explanation:

the second box i think

can someone plz answer my question :(

Answer:

When they ask for the rows, that means we need to divide everything by the column totals, not the row totals. (See how there's a total row and a total column? We use the total column.) This seems counterintuitive: just think of it as horizontal.

Let's try the "get to work before 9 am" row.

8/11 = .73

3/11 = .27

11/11 = 1.00

It works! Choice A is correct.

Let's now try the "get to work after 9 am" row.

5/9 = .56

4/9 = .44

9/9 = 1.00

It works too! So if you're allowed to put two answers, choices A and B would both be correct.

Graph g(x)=5|x-6|+2.

Answers

Here is the graph as requested.

Given the conditional statement c→~b, which of the following is the converse

Answers

Answer:

To form the converse of the conditional statement, interchange the hypothesis and the conclusion. The converse of "If it rains, then they cancel school" is "If they cancel school, then it rains." To form the inverse of the conditional statement, take the negation of both the hypothesis and the conclusion.

Step-by-step explanation:

help plz..will give the brainliest!!

need step by step explanation .​

Answers

Answer:

[tex]=8[/tex]

Step-by-step explanation:

[tex]\log _2\left(16\right)\log _3\left(9\right)\\\mathrm{Simplify}\:\log _2\left(16\right):\quad 4\\\log _2\left(16\right)\\\mathrm{Rewrite\:}16\mathrm{\:in\:power-base\:form:}\quad 16=2^4\\=\log _2\left(2^4\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _2\left(2^4\right)=4\log _2\left(2\right)\\=4\log _2\left(2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _2\left(2\right)=1\\=4\cdot \:1[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:4\cdot \:1=4\\=4\\=4\log _3\left(9\right)\\\mathrm{Simplify}\:\log _3\left(9\right):\quad 2\\\log _3\left(9\right)\\\mathrm{Rewrite\:}9\mathrm{\:in\:power-base\:form:}\quad 9=3^2\\=\log _3\left(3^2\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(x^b\right)=b\cdot \log _a\left(x\right)\\\log _3\left(3^2\right)=2\log _3\left(3\right)\\=2\log _3\left(3\right)\\\mathrm{Apply\:log\:rule}:\quad \log _a\left(a\right)=1\\\log _3\left(3\right)=1\\=2\cdot \:1[/tex]

[tex]\mathrm{Multiply\:the\:numbers:}\:2\cdot \:1=2\\=2\\=4\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:4\cdot \:2=8\\=8[/tex]

(I will mark brainliest if correct!! so PLEASE HELP!!!)
Matt has started a car washing business to save money for college. each week he washes three more cars than the week he did before.

Part A: Matt started by washing 6 cars his first week in business. Write an explicit formula that can be used to find the number of cars he washed on any given week.
A. 6+3n
B. 6(3n-1)
C. 6+3(n-1)
D. 3+6(n-1)
Part B: How many cars will Matt wash on his 11th week in business?
A. 17
B. 36
C. 39
D. 66

(if you don't want to answer part B I just really need Part A but it would be very helpful if you did both parts)

Answers

Answer:

I think it's A for the first one and B in the second.

Step-by-step explanation:

I'm not sure.

Which of the labeled points on the number line above could have coordinate - 2.85?
A, B, C, D

Please help!

Answers

Answer: B

Step-by-step explanation:

Since B is closer to 3

i think point B could have coordinate -2.85

Which graph represents the solution set of the inequality below?

Answers

A because it means any value above 26 is correct for the system

Answer:

A

Step-by-step explanation:

Your soccer team wants to practice a drill for a certain amount of time each day. Which plan will give your team more total practice time over 4 days? Over 8 days? Explain your reasoning.

Answers

Answer:

plan 1

Step-by-step explanation:

plan 1: 5 + 6 + 7 + 8 = 26min    8 days: 68

plan 2: 1 + 2 + 3 + 4 = 10min      8 days: 36

Answer:

The answer would be plan two since it would double each day, making it a lot larger than Plan 1.

Step-by-step explanation:

So first, to understand this, 0 is today, and then I did this based on 4 days and 8 days after what is represented as "today."

Plan 1:

[tex]y=5+1x[/tex]

Day 4:

[tex]y=5+1(4)\\y=5+4\\y=9[/tex]

Day 8:

[tex]y=5+1(8)\\y=5+8\\y=13[/tex]

Plan 2:

[tex]y=2^{x}[/tex]

Day 4:

[tex]y=2^{4} \\y=2*2*2*2\\y=4*2*2\\y=8*2\\y=16[/tex]

Day 8:

[tex]y=2^{8} \\y=2*2*2*2*2*2*2*2\\y=4*2*2*2*2*2*2\\y=8*2*2*2*2*2\\y=16*2*2*2*2\\y=32*2*2*2\\y=64*2*2\\y=128*2\\y=256[/tex]


Estimate.


A. 2
B. 2.9
C. 3
D. 3.9

Answers

Need more information

Answer:4

Step-by-step explanation:

Another point also lies on the line y = 3x  2
Its y-coordinate is 25
Write down the coordinates of this point.

Answers

it’s 7,3 because it just is and yea leave me alone

What is the answer of this question

Answers

The right answer is x^2-1.

EXPLANATION:

To be a polynomial, the power of each term must be a whole number.

Hope it will be helpful to you...

Good luck on your assignment

~pragya

Much appreciated if answered. =)

Eddie earns $45,000 a year. He works 45 hours a week, 50 weeks a year. How much money does Eddie earn per hour?

A.) $20

B.) $45

C.) $50

Answers

Answer is A) $20
50x45= 2250
45,000/2250= 20
:)

Answer:

c

Step-by-step explanation:

I got it right

What is the surface area of a sphere with a radius of 11 units?
O A. 1331 pie units
O B. 363 pie units2
C. 726pie units2
O D. 484pieunits

Answers

Answer:

A=1520.53units 2

Step-by-step explanation:

formula is A=4πr2

484 π square units t is the surface area of a sphere with a radius of 11 units

What is Three dimensional shape?

a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.

We have to find the surface area of a sphere with a radius of 11 units

The formula for finding surface area of sphere is 4πr²

where r is the radius of sphere

r=11 units

Surface area =4π.11²

=4×121π

=484 π square units

Hence, 484 π square units t is the surface area of a sphere with a radius of 11 units

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Randy is using a map scale of 1 inch is 24 miles find the length of the map from east to west and the link from north to sell the distance across the state is 430 miles an from north to south the greatest distance about 200 miles I need help in this question Ive been stuck on it for so long :) An angle, , is in standard position. The terminal side of the angle passes through the point (4, 5).Find cos. what were the consequences of the third anglo maratha war 2/8 c +24 = 8i really need help What is the answer I need help Im stuck In the context of the text, how has America changed over time? Is the United Stateshandling the current refugee crisis differently than during WWII and the Holocaust? Citeevidence from this text, your own experience, and other literature, art, or history in youranswer How did family change after the emancipation Read the information above about two countries, Country A and Country B. Which of the two countries shows signsof having a command economy? Explain your answer. Which polynomial is equivalent to the expression Who was newly appointed to be the president of the Soviet Union Identify the slope and y-intercept of the line.y = 6x-5 how to get a perimeter of 200 The side of a ramp is triangle. The hypotenuse has a length of 11.1 feet, and the other 2 sides have lengths of 11 feet and 1.5 feet.The side of a ramp is to be painted. The ramp has a length of 11.1 feet, reaches a height of 1.5 feet, and runs 11 feet on the ground. What is the area of the space that will be painted? If necessary, round to the nearest tenth.The area of the painted space is square feet. InstructionsAnswer all the questions.1. What is crucifixion?2. When was Jesus crucified?3.Who helped Jesus to carry His cross?4. In whose tomb was Jesus buried?5.What was written on the cross of Jesus? The base diameter and the height of a cone are both equal to x units. A cone has a height of x and a diameter of x. Which expression represents the volume of the cone, in cubic units? What happens to graders who use a red pen?A.They are more accurate with thier correctionsB.They find more errorsC.They feel themselves getting angrt when they gradeD.They make more mistakes Which statement best defines ethos as a rhetorical device? Find the area of the regular pentagon. WILL GIVE BRAINLIEST! Which is a common climate characteristic of the Northeast?extreme humidityongoing tornadoesfrequent winter stormsextraordinary precipitation