The radius of a circle is 4 centimeters. What is the angle measure of an arc bounding a sector with area 2​ square centimeters?

Answers

Answer 1

Answer:

Measure of the arc = 14.32°

Step-by-step explanation:

Radius of a circle = 4 cm²

Area of the circle = πr²

Here, r = radius of the circle

Area of the circle = π(4)²

                             = 16π cm²

                             = 50.265 cm²

Since, area of a sector = [tex]\frac{\theta}{360}(\text{Area of the circle})[/tex]

Here, θ = Central angle subtended by the arc Or measure of arc

Area of the sector given as 2 cm²

2 = [tex]\frac{\theta}{360}(50.265)[/tex]

θ = 14.32°

Therefore, measure of the arc = 14.32°.


Related Questions

Please Help Marking Brainiest

Answers

Answer:

(4,18)

Step-by-step explanation:

Answer:

(4,18)

Step-by-step explanation:

We can just pluck the x values into the equation: y = 5x -1 to see if the y values fit.

1. y = 5(4) - 1

    = 20 - 1

    = 19 (Nope, 18 is not 19)

2. y = 5(3) - 1

     = 15 - 1

     = 14 (Yep, same as option)

3. y = 5(0) - 1

     = 0-1

     = -1 (Yep, same as option)

4. y = 5(2) - 1

     = 10 - 1

     = 9 (Yep, same as option)

HELPPPPPP!!!

find each missing length. give all answers in the simplest radical form.

Answers

Answer:

45°

Step-by-step explanation:

the sum of angles in a triangle is equal 180°

we have been given that one angle equals yo 90° and the other equals to 45°

let "?" be the unknown angle

====> 180° = 90° + 45° +?

? = 180° - (90° + 45°)

? = 180° - 135°

? = 45°

Please help !!

Find the limit of the function by using direct substitution.
limit as x approaches three of quantity x squared plus eight x minus two.

0
-31
Does not exist
31

Answers

Given:

The limit problem is:

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

To find:

The limit of the function by using direct substitution.

Solution:

We have,

[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]

Applying limit, we get

[tex]\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=9+24-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=33-2[/tex]

[tex]\lim_{x\to 3}(x^2+8x-2)=31[/tex]

Therefore, the correct option is D.

Simplify.
(-2)^-3

A.) 8

B.) 1/8

C.) -8

D.) - 1/8

Answers

Answer:

D. -1/8

Step-by-step explanation:

write multiples of 12 between 20 and 40​

Answers

Answer:

24 & 36

Step-by-step explanation:

Multiple is the product of numbers being multiplied.

12×2= 24

12×3= 36

Answer:

24 and 36.

Step-by-step explanation:

there are only two

A rectangular piece of land measures 250 m by 220 m. Each side is to be fenced with 3 rows of wires. What is the length of the wire needed?

Answers

Answer:

2,820 m

Step-by-step explanation:

Given that the rectangular piece of land measures 250m by 220 m, the perimeter of the rectangle gives the length of wire required to fence it once.

The perimeter p of a rectangle of length l and width b is given as

p = 2(l + b)

Hence p = 2( 250 + 220)

= 2 * 470

= 940 m

Since each side is to be fenced with 3 rows of wires, the length of wire required

= 3 * 940m

= 2,820 m

I WILL GIVE BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

Step-by-step explanation:

f(x) = |x - 3| + 2

g(x) = |x + 1| - 5

ill mark u brainliest

Answers

Answer:

The slope represents the number of cookies sold for each dollar.

Answer: it is C

Step-by-step explanation: each point is a number boxes sold and some profit

which is the correct expression of (2x+3) (2x^2-5)

:
:
:

Answers

where are the answers?

I don’t understand this. Help me please

Answers

I don’t know earthier

cube root of 0.064
a) 4
b) 0.04
c) 0.4
d) 0.004​

Answers

Answer:

Option C. 0.4

Step-by-step explanation:

Given data

0.064

We are required to find the cube root of the above number

The cube root is also expressed  mathematically as

= ∛0.064

= 0.4

Hence, the answer is option C 0.4

What’s the answer???????

Answers

Answer:

12

Step-by-step explanation:

2(b + c)

2(5 + 1)

2(6)

12

The answer is on the picture

18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0

Answers

Answer:

a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Step-by-step explanation:

The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form

That is:

y = mx = c

where m is the slope and c is the y-intercept

Part a:

6(x+y) = 3(x-y)

2(x+y) = x-y

2x + 2y = x - y

3y = -x

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

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0

Part b:

2(x+y) = 5(y+1)

2x + 2y = 5y + 5

3y = 2x - 5

[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]

Comparing this with general formula, we can conclude that:

The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]

Part c:

5x + 10y -20 = 0

10y = -5x + 20

[tex]y = \frac{-1}{2} x+2[/tex]

Comparing this with the general formula, we can conclude that:

The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2

Hope this helps :)

What is the coefficient of q in the sum of these two expressions?

(23q – 34) and (–16q – r)
2/3
3/4
1/2
1

Answers

Answer:

23 and - 16 are the coefficients

Step-by-step explanation:

The perimeter of rectangle is 40 inches the length is 2 inches more than three times the width write and solve a system of an equation to find the length and the width of a rectangle. help pls!!

Answers

Answer:

Thisis your answer ☺️☺️☺️

hhElLlpp Pls Ill fail

Answers

1 is turbine 2 is generator and 3 is power line

Answer:

1. Turbine

2. Generator

3. Power line

No, the US and other countries shouldn't use more wind energy because the turbine could cause harm to animals that fly.

OR you can say:

Yes, the US and other countries should use more wind energy because it doesn't cause pollution, so no greenhouse gases are made to contribute to global warming.

You can choose either answer. I hope this helps you! ^-^

(giving brainiest)

real quick one should take someone around 5-7-10 minutes it really depends!

Answers

Answer:

Step-by-step explanation:

E

Riley made 5 trays of cupcakes for the bake sale. Each tray had 6 vanilla cupcakes and 8 chocolate cupcakes. How many total cupcakes did Riley make for the bake sale

Answers

Answer:

70

Step-by-step explanation:

6x5=30

8x5=40

40+30=70

9x2 - 52x + 33 = -10x - 16

Quadratic Equation

Answers

Answer:

x=7/3 or x=2.33

Step-by-step explanation:

9x^2 - 52x + 33 = -10x - 16

Okay, lets Start by converting this into standard form, which is: ax^2 + bx + c = 0.

Add 10x+16 on both sides of the equation, and simplifying.

9x^2 - 52x + 33 + 10x + 16  = -10x - 16 + 10x + 16

9x^2 - 42x + 49 = 0

Guess What! This equation is a Perfect Square Trinomial.

For a Perfect Square Trinomial, you will be able to take the square root of the first  and third terms, and the coefficient of the second term will be twice the square root of the  third term. The “sign” of your second term in your answer will be the same as the linear term sign.

So this is (3x*3x) + (3x * -7 * 2) + (7 * 7) = 0

So, we can rewrite this as (3x - 7)^2=0

Now, To solve, We can set each factor equal to 0, and solve.

*Since we have a Perfect Square Trinomial, You will get one solution, or value, for x.*

Add 7 on both sides.

3x - 7 = 0

     +7  +7

----------------

3x=7

Divide by 3 on both sides.

3x/3 = 7/3

x=7/3

As a decimal: 2.33...

Hope I helped, Brainliest would be appreciated :)

Have a fantastic day!

             -Aadi x

Alex's driveway is 27 yards long and 10 yards wide.how many feet long is the driveway

Answers

Answer:

81 feet

Step-by-step explanation:

3 feet = 1 yard

Answer:

81 feet wide

Step-by-step explanation:

1) The 10 yards wide is not necessary since we only need length.

2) There are 3 feet in a yard.

3) 27 yards multiplied by 3 feet equals = 81 feet.

4) 27 * 3 = 81 feet

Find the value of x in the triangle shown below.
15
х
9

Answers

Answer:

x=12

Step-by-step explanation:

[tex]x^{2}[/tex]=[tex]15^{2}[/tex]-[tex]9^{2}[/tex]

[tex]x^{2}[/tex]=225-81

[tex]x^{2}[/tex]=144 /sqrt

x=12

What is 7/2 divided by 5/4?


HURRY UP PLZ!!

Answers

2.8 in decimals, 2 4/5 as a fraction.

Answer:

[tex] \frac{14}{5} [/tex]

Step-by-step explanation:

1) Use this rule : a ÷ b/c = a × c/b.

[tex] \frac{7}{2} \times \frac{4}{5} [/tex]

2) Use this rule: a/b × c/d = ac/bd.

[tex] \frac{7 \times 4}{2 \times 5} [/tex]

3) Simplify 7 × 4 to 28.

[tex] \frac{28}{2 \times 5} [/tex]

4) Simplify 2 × 5 to 10.

[tex] \frac{28}{10} [/tex]

5) Simplify.

[tex] \frac{14}{5} [/tex]

Therefor, the answer is 14/5. And is decimal form it would be, 2.8.

HElppppp will mark brainlest!!!!!!

Answers

Answer:

1.(that looks like letter L) Yes for congruent and no for similar 2.(circles) Yes congruent and no for similar 3. (triangles) yes similar and no for congruent 4. ( square & rectangle) yes it is similar no for congruent

Step-by-step explanation:

congruent is are the same size and shape, similar have different sizes.

What is the equation of the line that passes through the point (-1,-7)(−1,−7) and has a slope of 2

Answers

Answer:

y = 2x - 5

Step-by-step explanation:

Put it in point-slope form:

y + 7 = 2(x + 1)

y + 7 = 2x + 2

y = 2x - 5

Which statement is NOT true about the normal probability density function?

A. It is also known as the bell curve.

B. Its shape is completely concave downward.

C. It has 2 inflection points.

D. It has reflectional symmetry.

Answers

Answer: The correct answer is

B. Its shape is completely concave downward.

A pachyrhinosaurus weighed approximately 4 tons and( traveled in herds but that does not matter)what would the weight of 8 pachyrhinosaurus have been in pounds?

Answers

Answer: [tex]70,547.84\ \text{Pounds}[/tex]

Step-by-step explanation:

Given

The weight of a Pachyrhinosaurus is 4 tons

We know,  [tex]1\ \text{ton}=2204.62\ \text{Pounds(lbs)}[/tex]

[tex]\therefore \text{weight of 8 pachyrhinosaurus is} \\\\\Rightarrow 8\times4=32\ tons\\\\\Rightarrow 32\ tons\approx 70,547.84\ \text{pounds}[/tex]

you’re cool if you help me out

Answers

Answer:

180-149=31

119+31+x=180

150+x=180

x=180-150

x=30

× is a variable for angle 1, so angle 1 is 30

Paul will roll two standard dice simultaneously. If Event A = both dice are odd and Event B = at least one die is even, which of the following best describes events A and B?

Answers

Answer:

Mutually Exclusive

Dependent

Step-by-step explanation:

Given that both events cannot occur at the same time, that is "both dice cannot be odd (event A) if at least one of the dice is even (event B).

Hence, this is MUTUALLY EXCLUSIVE.

Also, given the fact that the occurrence of one event (event A) affects the probability of the other (event B).

Hence, this is DEPENDENT.

Find the missing length of the triangle. If necessary, round your answer to the nearest tenth

Answers

Answer:

30

Step-by-step explanation:

Since this is a right triangle, we can use the Pythagorean theorem to find the missing side

a^2 +b^2 = c^2  where a and b are the sides and c is the hypotenuse

x^2 + 40^2 = 50^2

x^2 +1600 = 2500

x^2 = 2500-1600

x^2 = 900

Take the square root of each side

sqrt(x^2) = sqrt(900)

x = 30

Answer:

x = 30

Step-by-step explanation:

[tex]a^{2} = c^{2} - b^{2}[/tex]

[tex]a^{2} = 50^{2} - 40^{2}[/tex]

[tex]a^{2} = 2500 - 1600[/tex]

[tex]a^{2} = 900[/tex]

[tex]\sqrt{a^{2}} = \sqrt{900}[/tex]

a = 30

Find the value of x that makes lines u and v parallel.

Answers

Answer:

the answer is x=10

Step-by-step explanation:

10*10=100

100-10=90

the red square means 90°

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