In a circle of radius 10 cm, a sector has an area of 40 (pi) sq. cm. What is the degree measure of the arc of the sector?
72
144
180°

Answers

Answer 1

Answer:

144°

Step-by-step explanation:

First, find the area of the circle, with the formula A = [tex]\pi[/tex]

Plug in 10 as the radius, and solve

A = [tex]\pi[/tex]r²

A = [tex]\pi[/tex](10²)

A = 100[tex]\pi[/tex]

Using this, create a proportion that relates the area of the sector to the degree measure of the arc.

Let x represent the degree measure of the arc of the sector:

[tex]\frac{40\pi }{100\pi }[/tex] = [tex]\frac{x}{360}[/tex]

Cross multiply and solve for x:

100[tex]\pi[/tex]x = 14400[tex]\pi[/tex]

x = 144

So, the degree measure of the sector arc is 144°

Answer 2

Answer:

Solution :-

We know that

Area = πr²

Area = 3.14 × (10)²

Area = 314/100 × 100

Area = 314 cm²

Now

40π/314 = x/360

40 × 3.14/314 = x/360

125.6/314 = x/360

0.4 = x/360

0.4 × 360 = x

144 = x

[tex] \\ [/tex]


Related Questions

in desperate need of help please :/

Answers

Answer:

since 13 miles is 68640 i wood say 189 inches long from bumper to bumper. A mile is 5,280 feet (or 63,360 inches).

If 335 of these cars were parked with their bumpers touching, they would be almost exactly a mile long.

If your question refers to traffic jams, the answer will be a bit different, since cars in traffic jams don’t get that close together. I’m going to take a wild guess here, but let’s assume that there is a 4-foot gap between cars in our hypothetical traffic jam.  now put that in to 13 miles

Step-by-step explanation:

Which mixed number is equivalent to 38 divided by 7

Answers

38/7. 3 and3/7
7 goes into 38 3 times resulting in 35 with 3 left over

The mixed number equivalent to 38 divided by 7 is 5 3/7.

To find the mixed number equivalent to 38 divided by 7,

we need to divide 38 by 7 and express the result as a mixed number.

=38 ÷ 7

= 5 remainder 3

Or      7 | 38 | 5

              35

         ______

                3

So, the quotient is 5 and the remainder is 3.

So, the mixed number equivalent to 38 divided by 7 is 5 3/7.

Learn more about Mixed Fraction here:

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Which equation is true?

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Answer:

9 × 8 = 8 × 9 equation is true

I really need help guys!

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I am pretty sure the answer is 36. Correct me if I am wrong

I need help so I can helpl my grandson to pass this quz please and thank you
its in the download pdf.

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Answer:

Sorry about the last time this time I could find the images!

First problem: 120

Second problem: I believe its 140 but I dont know for sure so answer that at your own risk please

Third problem: same for this one I think it's 40

Fourth problem: 2160

13. Which of the following symbol stands for the margin of error?
A. E
B. Za/2
C.n
D.o
14. For a 95% confidence level, the confidence coefficient is ___?
A. 1.645
B. 1.96
C.2.33
D.2.585.
15.What do you call the value resulting from subtracting the margin of error from the sample mean?
A. point estimate B. interval estimate C. lower limit of the interval D. upper limit of the interval
For nos. 16-19
A survey on 200 HUMSS students of Bumasa Integrated High School shows that they read on an average of 15. 7 hour
per week. The margin of error is 2.2 hours at a 95% confidence level.
16. What is the sample mean?
A.200
B. 95
C. 15.7
D.2.2 8.
17. Which of the following values is the margin of error?
A.15.7
B. 2.2
C. 0.95 D. 0.05 9.
D.0.05 9.​

Answers

Answer:

13. A

14. B

15. C

16. B

17. C

Step-by-step explanation:

Write in standard form: 30,000.000 + 40,000 + 6,000 + 20 + 2

Answers

Answer:

[tex]3.0046022*10^{7} \\[/tex]

Step-by-step explanation:

30,046,022 = [tex]3.0046022*10^{7} \\[/tex]

Can u help me please I will mark u brilliant

Answers

Answer:

c

Step-by-step explanation:

Answer:

the answer is 5

Step-by-step explanation:

solve the system:
3x-2y=1 2x+5y=3
a.) x=1, y=1
b.)x=-1,y=-1
c.)x=11/19, y= 7/19
d.)x=-19/2,y=22/5
e.)x=17/3, y=8

Answers

The answer is C) x=11/19, y=7/19

evaluate the expression for x = 6
3 x + 5 =​

Answers

Answer:

23

Step-by-step explanation:

6x3=18

18+5=23

Answer

this is wrong

Step-by-step explanation:

this is an equation not an expression. Equations have = and expressions dont. Please rewrite this and I will help.

The point-slope equation of a line is
A. y + x - Xoyo = m
B. y= m(x - Yo)
O C. y+ mx - mxoyo
D. y-yo = m(x- xo)

Answers

Answer:

[tex]y - y_1 = m(x - x_1)[/tex]

Step-by-step explanation:

Given

A to D

Required

Which is the point slope equation

The point slope form of a coordinate pair is:

[tex]y - y_1 = m(x - x_1)[/tex]

Hence, (d) is correct

Angle Relationships

Use a calculator to find the approximate value of the expression. Round the answer to two decimal places.

The cosine of the complimentary angle to 38°

a. 0.68
b. -0.16
c. -0.22
d. 0.62

Please select the best answer from the choices provided

Answers

Answer:

D. 0.62

Step-by-step explanation:

I calculated it logically

Help set up the equation :D the answer in the answer box is wrong

Answers

X=3.4
Y=10 if that not right then switch x=10
Y=3.4

Single Factor ANOVA is a method we use when we want to compare a quantitative variable among more than two categories.

a. True
b. False

Answers

Answer:

The given statement is "True".

Step-by-step explanation:

A statistical analytical technique that divides the perceived aggregate unpredictability present throughout an information source even further into 2 components.

Systemic components Random components

If relevant information yet another category independent variable, as well as another quantifiable variable of interest, has been obtained, are using a single-way ANOVA.

Thus the above is the true answer.

What is the value of f(-10) if f(x) = 4x - 12?​

Answers

F(-10) means the x value in the equation is -10.

Replace x with -10 and solve:

4(-10) -12 = -40 - 12 = -52

F(-10) = -52

Answer: -52

How to: Use the given functions to set up and simplify f ( − 10 ) .

Have a great day and stay safe ! sorry if im wrong

Find the area of composite figure

Answers

Answer:

c

Step-by-step explanation:

Help with the Pythagorean Theorem

Answers

Answer:

A=5

B=3

C=5.83

A^2+B^2=C^2

Answer:

5.83

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

6. One week, Sam wrote a check for $8.75, deposited $4.50, and wrote another check for $2.50. What was the change to Sam's bank accountant that week?​

Answers

Answer: - $6.75

Step-by-step explanation:


HELP HELP HELP HELP

What is the equation of the trend line in the scatter plot ?

Answers

Answer:

increasing

Step-by-step explanation:

When writing a summary about the theme you should....

A
Include the theme in the first sentence.











B
Write what the message shows you.











C
Write details about the story.











D
All of the above.

Answers

Answer: D, All of the above

Step-by-step explanation:

I think this would be all of the above but I’m sorry if it’s wrong. Hope this helps :-)

peepeepoopooo I need help please

Answers

Answer:

16.9

Step-by-step explanation:

We can use a proportion also in this case

51.6 : 23 = 38 : NO

NO = (38 x 23)/51.6 = 16.9

pls help me

Which of the following is not a solid figure?
A.cube
B.cylinder
C.prism
D.rectangle​

Answers

Answer:

c.prism is not solid figure

Answer:

rectangle

Step-by-step explanation:

rectangle isn't a solid figure

What is the value of 0.5–0.05? Write your answer as a fraction in lowest terms.

Answers

Answer:

Heyaaa!!! I'm Pinky!! And i'm here to inform you that you're answer is...

Step-by-step explanation:

!!!

                                                           

0.5–0.05= 0.45

0.45 In fraction form is Simply:

        9/20   (And that's on lowest terms!)

If you would want it in percentage form to that would simply be:

                                                 45%

    Have A Nice Day!!!!

 ~Pinky~

The value of 0.5–0.05 is a fraction in the lowest terms = 9/20.

Use the concept of fraction defined as:

A fraction is a part of the whole number and a way to split up a number into equal parts. Or, A number which is expressed as a quotient is called a fraction. It can be written as the form of p: q, which is equivalent to p / q.

The given expression is: 0.5–0.05

Subtract 0.05 from  0.05

0 . 5 0

-0.  0 5

0 . 4 5

So, 0.5–0.05 = 0.45

Multiply and divide by 100 we get,

[tex]0.45\times \dfrac{100}{100} = \dfrac{45}{100}[/tex]

Divide both the numerator and denominator by 5 we get,

[tex]\dfrac{45}{100} = \dfrac{9}{20}[/tex]

Hence,

0.5–0.05 in the lowest fraction is 9/20.

Learn more about the fraction visit:

https://brainly.com/question/5454147

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PLS HELPPPPPP OMG PLSSSSSSSSSSSSSS LOOK AT PHOTO PLSSSS HELPPP

Answers

Answer: B

Step-by-step explanation: The line crosses the Y axis at 3

Write the equation of a parabola in conic form with a focus at (-2,-7) and a directrix at y=-1

Need help with this

Answers

Answer:

(-2-h)^2+(-7-k)^2=r^2

Step-by-step explanation:

(x-h)^2+(y-k)^2=r^2 this is the normal equation now u just need to substitue those in it

4/5+ 2/3 =? pls help i'm.in 5th grade

Answers

Answer:

2/15

Step-by-step explanation:

Determine the amplitude of the trigonometric function: *attached image*

Answers

Answer:

[tex]\displaystyle 2[/tex]

Step-by-step explanation:

[tex]\displaystyle \boxed{y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}} \\ \\ y = Acos(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{2} \hookrightarrow \frac{\frac{2}{3}\pi}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

OR

[tex]\displaystyle \boxed{y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}} \\ \\ y = Asin(Bx - C) + D \\ \\ Vertical\:Shift \hookrightarrow D \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \\ Amplitude \hookrightarrow |A| \\ \\ Vertical\:Shift \hookrightarrow \frac{1}{2} \\ Horisontal\:[Phase]\:Shift \hookrightarrow \frac{C}{B} \hookrightarrow \boxed{\frac{1}{2}} \hookrightarrow \frac{\frac{\pi}{6}}{\frac{\pi}{3}} \\ Wavelength\:[Period] \hookrightarrow \frac{2}{B}\pi \hookrightarrow \boxed{6} \hookrightarrow \frac{2}{\frac{\pi}{3}}\pi \\ Amplitude \hookrightarrow 2[/tex]

As you can see, the right-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2cos\:\frac{\pi}{3}x + \frac{1}{2},[/tex]in which you need to replase "sine" with "cosine", then figure out the appropriate C-term that will horisontally shift and map the graph onto the sine graph [photograph farthest to the left], accourding to the horisontal shift formula above. Also keep in mind that the −C gives you the OPPOCITE TERMS OF WHAT THEY REALLY ARE, so be very careful with your calculations. So, between the two photographs, we can tell that the cosine graph [centre right photograph] is shifted [tex]\displaystyle 2\:units[/tex]to the left, which means that in order to match the sine graph [photograph farthest to the left], we need to shift the graph FORWARD [tex]\displaystyle 2\:units,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{2} = \frac{\frac{2}{3}\pi}{\frac{\pi}{3}}.[/tex]So, the cosine graph of the sine graph, accourding to the horisontal shift, is [tex]\displaystyle y = -2cos\:(\frac{\pi}{3}x - \frac{2}{3}\pi) + \frac{1}{2}.[/tex]Intermediate, we have two sine graphs to deal with [centre left photograph and the photograph farthest to the left]. The left-centred photograph displays the trigonometric graph of [tex]\displaystyle y = -2sin\:\frac{\pi}{3}x + \frac{1}{2}.[/tex]So, just like before, we need to figure out the appropriate C-term that will horisontally shift the graph back into position ["position", meaning shifting this sine graph back in plase (matching the sine graph in the photograph on the left)]. So, between the two photographs, we can tell that the left-centred sine graph is shifted [tex]\displaystyle \frac{1}{2}\:unit[/tex]to the left, which means that in order to match the leftward sine graph, we need to shift the graph FORWARD [tex]\displaystyle \frac{1}{2}\:unit,[/tex]which means the C-term will be positive, and by perfourming your calculations, you get [tex]\displaystyle \boxed{\frac{1}{2}} = \frac{\frac{\pi}{6}}{\frac{\pi}{3}}.[/tex]So, when shifted back into original position, the sine graph is [tex]\displaystyle y = -2sin\:(\frac{\pi}{3}x - \frac{\pi}{6}) + \frac{1}{2}.[/tex]Now, with all that being said, in this case, sinse you ONLY have a graph to wourk with, you MUST figure the period out by using wavelengths. So, looking at where the graph WILL hit [tex]\displaystyle [-2\frac{1}{2}, \frac{1}{2}],[/tex]from there to [tex]\displaystyle [3\frac{1}{2}, \frac{1}{2}],[/tex]they are obviously [tex]\displaystyle 6\:units[/tex]apart, telling you that the period of the graph is [tex]\displaystyle 6.[/tex]Now, the amplitude is obvious to figure out because it is the A-term, and to be certain, look at the graph to see how low and high each crest extends beyond the midline. The midline is the centre of your graph, also known as the vertical shift, which in this case the centre is at [tex]\displaystyle y = \frac{1}{2},[/tex]in which each crest is extended two units beyond the midline, hence, your amplitude. Now... the sine graph in the photograph farthest to the right is the OPPOCITE of the sine graph in the photograph farthest to the left, and the reason for this is because of the negative inserted in front of the amplitude value. Whenever you insert a negative in front of the amplitude value of any trigonometric equation, the whole graph reflects over the midline. Keep this in mind moving forward. Now, with all that being said, no matter how far the graph shifts vertically, the midline will ALWAYS follow.

I am delighted to assist you at any time.

PLEASE HELLLLLLP NO FAKE ANSWERS

Answers

Answer: p= -3,2

q= -3,8

R= -8,8

s=-8,2

Step-by-step explanation:

If the diameter is 111ft then the radius is

Answers

Answer:

55.5 is the I guess........

a submarine is at the surface of the ocean, preparing to dive. it submerges and dives -993 ft. then it ascends 308 ft to avoid hitting an undersea cliff. what integer represents the submarines position in ft after it ascends to avoid the cliff?
A. 1,301
B. 685
C. -1,301
D. -685​

Answers

Answer:

[tex]\text{D. -685}[/tex]

Step-by-step explanation:

Let the submarine's initial position be 0. After diving 993 feet, its position will be -993 ft. The submarine then ascends 308 feet, meaning its final position will be [tex]-993+308=\boxed{-685}[/tex].

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