What is the area of a sector of a circle with a radius of 6, and an arc measure of 160 degrees?

A. 8π/3
B. 16π/3
C. 16 π

Answers

Answer 1

Answer:

16 pi

Step-by-step explanation:

First find the area of the circle

A = pi r^2

A = pi (6)^2

A = 36 pi

Then find the fraction of the circle the sector is

A circle is 360 degrees

160/360 = 4/9

Multiply the area by the fraction

4/9 * 36 pi

16 pi

Answer 2

Answer:

C: 16π

Step-by-step explanation:

Area of a sector =

[tex] = \frac{angle }{360} \times \pi \: r {}^{2} [/tex]


Related Questions

HELP MEEEEE
Find the percent of increase from 3 inches to 7.5 inches.

Answers

Answer:

150% increase

Help me plzzzzzzzzzzzz

Answers

Answer:

The circumference of a circle

Step-by-step explanation:

Hope this helped you out :)

Answer:

2π r is how you find the circumference of a circle so the answer is the second option .

Need urgent help, will give brainliest for honest help

Answers

I'll do the first two to get you started

See the diagram below for the filled out answers.

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

Problem 1

You are correct in saying that 10 goes in the first box. This is from 2*5 = 10 when you apply the distributive property a*(b+c) = a*b+a*c.

For the next box, you'll have x go inside it. This is because we subtract 2x from both sides and then note how 3x-2x becomes x. This x is found on the right side of the third line.

For the last box, we have 9 go inside it. This is from subtracting 1 from both sides, so 10-1 becomes 9.

Answers:

10x9

in that order

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

Problem 2

We add 2y to both sides so that 3y becomes 5y. Ie, 2y+3y = 5y

As a way to check the answer, note how 5y is on the left side of line 2.

Then we'll add 4 to both sides. So 6 updates to 6+4 = 10 on the right side. We type 10 in the second box.

The last step is to divide both sides by 2. The equation 5y = 10 solves to y = 2

Answers:

5y102

in that order

See the diagram below for the filled out answers.

Thank for doing it I love u

Answers

a) Very unlikely (1/30)

b) Unlikely (6/30)

c) Likely (15/30)

mark me brainliestt :))

HELP ASAP!!! HELP FAST PLEEASE!!!

Answers

Answer:

e.

Step-by-step explanation:

Find the value of x. ​

Answers

Answer:

d. 16 feet

Step-by-step explanation:

x² + 12² = 20²

x² + 144 = 400

x² + 144 - 144 = 400 - 144

x² = 256

√x² = √256

x = 16

Vector u has a magnitude of 4 with a direction of 50°. Vector v has a magnitude of 6 with
a direction of 25°. Which vector components represent the sum of u + v?

Answers

Answer: <8.01, 5.60>.

Step-by-step explanation:

Vector:

[tex]v= (r\cos\theta,r\sin\theta)[/tex]

, where r = magnitude and [tex]\theta[/tex] = angle .

As per given,

[tex]u=(4\cos 50^{\circ}, 4\sin 50^{\circ})\\\\\approx(4(0.64),4(0.77))\\\\=(2.56, 3.08)[/tex]

[tex]v=(6\cos 25^{\circ}, 6\sin 25^{\circ})\\\\\approx(6(0.91),6(0.42))\\\\=(5.46, 2.52)[/tex]

Consider

[tex]u+v=(2.56,3.08)+(5.46,2.52)\\\\=(2.56+5.46,3.08+2.52)\\\\=(8.02,\ 5.60)[/tex]

Hence, the correct option is <8.01, 5.60>.

William is planning a party. He spent $110.74 to buy 9.8 pounds of candy for favors. What was the cost per pound of the candy? (Do not include the $ sign in your answer.)

Answers

Answer: $11.30 per pound

Step-by-step explanation:

William spent $110.74 to buy 9.8 pounds of candy.

To find the cost per candy, divide the amount spent by the quantity of candy:

=Amount spent on candy / Quantity of candy

= 110.74 / 9.8

= $11.30 per pound

Unit 9 test: Trigonometry
What’s the correct answer to this problem

Answers

Answer:

See below.

Step-by-step explanation:

Remember SOHCAHTOA.

Soh...

Sine = Opposite / Hypotenuse

...cah...

Cosine = Adjacent / Hypotenuse

...toa

Tangent = Opposite / Adjacent

sin(64) = x / 94

Multiply both sides by 94.

94sin(64) = 94x / 94

Simplify

x = 94sin(64)

x = 84.487 = 84.5

∠A and ∠ B ∠B are complementary angles. If m ∠ A = ( x − 23 ) ∘ ∠A=(x−23) ∘ and m ∠ B = ( 2 x + 29 ) ∘ ∠B=(2x+29) ∘ , then find the measure of ∠ B ∠B

Answers

Answer:

85

Step-by-step explanation:

2x + 29 + x - 23 = 180

solve for x = 28

b = 2 * 28 + 29 = 85

If you add the two equations 6x + 4y 46 and — 6x + 9y = 6 what do you get? ​

Answers

Answer:

13y = 52

Step-by-step explanation:

6x - 6x + 4y + 9y = (46 + 6)

6x - 6x + 4y + 9y = 52

0 + 4y + 9y = 52

0 + 13y = 52

13y = 52

(p.s. y = 4)

if cos theta is equal to -7/25 and theta (180°;360°) what is the value of 14 tan theta ​

Answers

Answer:

[tex]14 tan\theta = -48[/tex]

Step-by-step explanation:

[tex]cos \theta = \frac{-7}{25}\\\\cos^2 \theta = \frac{49}{625}\\\\sin^2 \theta = 1 - cos^2 \theta\\\\[/tex]

        [tex]=1 - \frac{49}{625}\\\\=\frac{625-49}{625}\\\\=\frac{576}{625}\\\\[/tex]

[tex]sin \theta = \sqrt{\frac{576}{625}} = \frac{24}{25}[/tex]

[tex]tan \theta = \frac{sin \theta}{cos \theta}[/tex]

          [tex]=\frac{\frac{24}{25}}{\frac{-7}{25}}\\\\=\frac{24}{25} \times \frac{25}{-7}\\\\=\frac{-24}{7}[/tex]

[tex]14 tan \theta = 14 \times \frac{-24}{7} = 2 \times -24 = -48[/tex]

find the tangent of angle A (giving brainliest and thanks to all!)

Answers

Answer:

Option B, 8 / 6

Step-by-step explanation:

Tangent = Opposite / Adjacent

Tangent of ∠A = Opposite / Adjacent

Tan(A) = 8 / 6 which is the same as Option B

Hope this helps!

Line AB is perpendicular to line CB.
A(2,3), B(5,7) C(x,8)
What is the value of x to make this statement true?

Answers

Answer:

Step-by-step explanation:Hly/3fcEdSxere's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

Answer:

a 2 and 3 step by step exolaniation

During 1 month ,the mass of a person decreased from 50 kg to 40 kg . calculate the percentage decreased in the mass.

Answers

Answer:

Step-by-step explanation:

mass of person decreased=50kg-40kg

=10kg

decrease percentage=10/50*100

=10*2

=20%

Explain two different ways that you can solve the exponential equation 3^x+2=8 .

Answers

Answer:

solving a quadratic equation by factoring

using the quadratic formula

Step-by-step explanation:

i have 1 hour to do this. please help me :). 20pts!!!

Answers

It says on top it’s only with 11 points

Write each number as a fraction or Mixed number.
(Please help! I'm trying to promote!)

Answers

Answer:

0.7 repeating is 7/9

0.04 repeating is 4/99

4.45 repeating 4 4/11

2.19191919...... is 2 19/99

hope this helps

have a good day :)

Step-by-step explanation:

Somebody help me ASAP! I WILL GIVE BRAINLIEST IF YOU SOLVE THIS BY 12:40 PM PST

Answers

Answer:

B. {2/3, 1}

Step-by-step explanation:

x²/5 - x/3 = -2/153x² - 5x = -23x² - 5x + 2 = 0x = (5 ± [tex]\sqrt{5^2 - 4*3*2}[/tex])/6x = (5 ± 1)/6x = 6/6 = 1 , x = 4/6 = 2/3

Correct choice is B

Which of the graphs correctly shows the set {-7, -2, 7}?
A) A
B) B
C) C
D) D

Answers

D. Is the correct answer
D is the correct answer.

-6, -2, 2, 6, 10 ,14.. find the term in position 12 (include the steps)​

Answers

a(12) = 38

a(n) = a1 + (n - 1)d

Use this formula to solve.

n is what position.

a1 is position 1.

d is common difference.

a(12) = -6 + (12 - 1)4

-6 + 11(4)

-6 + 44

38

Is the point (1,3) inside, outside the circle

Answers

Step-by-step explanation:

what is the center of the circle !

Find the circumference of this circle
using 3 for T.
C ~ ?
[?]
36
C = ad
helppp

Answers

Answer:

C = pi d

C = 3 × 36

C = 108

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William only had 1 3/4 cups of flour so he can only make 2/3 of a batch of biscuits how much flour is needed for a full batch of biscuits

Answers

Answer: 2 5/8 Cups

Step-by-step explanation:

Cups of flour he have = 1 3/4

= 7/4

Batch of biscuits made = 2/3

Flour to make a full batch

7/4 / 2/3 = 2 1/8

= 2 5/8 Cups

Hope it helps

Debbie used 40% of her flour for cookies. She started with 24 cups; how many cups did Debbie use?

Answers

the other asnwers dont make any sense. but just take my word for it.

which equation can be used to solve for x

Answers

Answer:

x+41=90

Step-by-step explanation:

Because that is square which means 90 degrees so 41 degrees plus x equals to 90

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

The second option, [tex]\boxed{x+41=90}[/tex].

»»————- ★ ————-««  

Here’s why:  

In the picture given, there are two angles that, together, make up a right angle. You can also tell that it is a right angle because of the box marked in the bottom left corner. The angles in the picture are also complementary angles. Complementary angles add up to 90°. Right angles measure 90°.

⸻⸻⸻⸻

We can use the information given to set up an equation.

[tex]\boxed{\text{An equation to find 'x'.}}\\\\\text{The sum of the angle's measurements: }90$^{\circ}$\\\\\text{The given measurement for one of the angles: }41$^{\circ}$\\\\----------------\\\\\underline{The sum of the two angle measurements would be 90 degress.}\\\\\text{Given angle mesurement} + x = 90\\\\\boxed{41 + x = 90}[/tex]

Option B matches the equation made. Therefore, option B should be the correct answer.  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.  

PLEASEEEE HELLPPPPPPPPP

Answers

20 degrees; add up the given angles for the remaining angle

30 students in a class went on a trip to the other side of the city. There were 4 vans for the
students to take. 6 students walked. How many students could fit in each van?

Answers

Answer:

6

Step-by-step explanation:

30-6=24

(6 people walked which means they are not included in the people fitting on the busses)

24/4=6

(from there you need to divide by 4 to tell how many were on each bus.)

What is the y-intercept of the line shown below? Enter your answer as a
coordinate pair. Help!!!!!

Answers

Answer:

(0, 3)

Step-by-step explanation:

y= 3 when x=0

The y-intercept of a line is where the line crosses the y axis, so the x axis is always 0 here. So it is (0,-3)

2) Edwin A bought a total of 15 student and non-student tickets worth $223.50. The student tickets cost $12.50 each and the non-student tickets cost $18.50 each. How many of each ticket did he buy?

Answers

Answer:

Step-by-step explanation:

I imagine you are in the section in math that teaches about systems! We need a system here to solve this problem...meaning we have 2 unknowns and we need to write 2 equations to solve for them. The first equation will involve the NUMBER of tickets sold, while the second equation will involve the COST of the tickets. These are 2 very different things, and we have what we need to write each equation. First the number of tickets equation:

We know that the number of student tickets (s) and the number of non-student tickets (n) totaled 15 tickets. That means the numbers equation is

s + n = 15

Now onto the money. Since s is student tickets, and each student ticket cost 12.50, the expression for that is 12.5s; since n is non-student tickets and each non-student ticket cost 18.50, the expression for that is 18.5n. That is the money expression for each type of ticket, and we know that the sales of these tickets totaled 223.50; therefore, the money equation is

12.5s + 18.5n = 223.5 (notice I dropped off the 0's since we don't need them).

Go back to the first equation and solve it for either s or n. I solve is for s:

If s + n = 15, then

s = 15 - n. Sub that into the second equation in place of s now:

12.5(15 - n) + 18.5n = 223.5 and simplify a bit by distributing to get

187.5 - 12.5n + 18.5n = 223.5 and combine like terms to get

6n = 36 so

n = 6. That means that there were 6 non-student tickets sold and

s + 6 = 15 student tickets sold:

s = 15 - 6 so

s = 9

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