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

If you had a right triangle with legs measuring 40 yards and 100 yards long,
what would be the length of the hypotenuse? Round your answer to the
nearest yard if necessary. *
70 yd
92 yd
108 yd
146 yd

Answers

9514 1404 393

Answer:

  (c) 108 yd

Step-by-step explanation:

For hypotenuse c and legs a and b, the Pythagorean theorem tells you the relation is ...

  c² = a² +b²

Solving for c, we have ...

  c = √(a² +b²)

  c = √(40² +100²) = √(1600 +10000) = √11600

  c ≈ 107.70 . . . . yards

The length of the hypotenuse is about 108 yards.

Please help thank you :)

Answers

Answer:

Step-by-step explanation:

Angle 1 is equal to angle 3 because they are opposite each other so

Angle 1=43 degrees

Angle 1 and angle 2 have a sum of 180 degrees because they are adjacent to each other.

angle 2=180-43=137 degrees.

angle 2 and 4 are opposite each other so they are equal

angle 4=137 degrees.

Answer:

Angle 1 = 43°

Angle 2 = 137°

Angls 4 = 137°

Step-by-step explanation:

To get angle 1, l and m intersect and there are two angles which cause vertical opposite angles. When there are vertical opposite angles, both angles have the same degree. For angle 2, you need to find angle 1 and 3, after that you deduct both angle 1 and 3 from 360° which is the angle of whole figure. 360 - 43 - 43 = 274° for angle 2 and 4, since they're also vertically opposite angles, both 2 and 4 have the same angle. All you need to do to find 2 and 4 is 274 ÷ 2 = 137°.

the explicit formula for a geometric sequence is An = 125(1/5)^n-1 what is a recursive formula for the sequence

Answers

The recursive definition is:
a1=1
an= 5an-1 for n>1

Hi, I need help with these. Please PLEASE help!!! Thanks

Answers

1. (10x7)+(6x7)+(11x7)+2(1/2x5.4x11)=248.4cm^2

2. (10x8)+2(11x8)+2(1/2x8.9x11)=353.9ft^2

What is Y=x^2-3x+1 in vertex form

Answers

the answer to your question would be y = ( x - 3/2) 2 - 13/4

(btw the 2 after 3/2 is tiny, please give thanks if i am correct)

MYSTERY NUMBER OF POINTS . Hint its 100. Solve to receive.
7m + 3y - 2m + y + 8
ANSWER
5m + 4y + 8
Have a great day

Answers

Answer:

5m + 4y + 8 is the answer or are you asking for the answer-?

Answer:

thank you

have a good day..❤

When a ________contains only numbers and at least
one operation it is called a _________.

Answers

Could you show us the picture or there isn’t one ?

To make 12 ounces of hot chocolate, 3 tablespoons of cocoa are needed. How many tablespoons of cocoa are needed to make 72 ounces of hot chocolate?

Answers

Answer:

18

Step-by-step explanation:

Use calculator to find the measure of angle A to the nearest tenth of a degree.
5.) sin(A) = 0.9903
6.) cos(A) = 0.6428
8.) tan(A) = 1.2851
9.) cos(A) = 1.2608
10.) sin(A) = 0.7777
11.) sin(A) = 1.8330

Answers

Answer:

82° ; 50° ; 52° ;domain error ;51° ; domain error

Step-by-step explanation:

Using a calculator :

sin(A) = 0.9903

A = sin^-1(0.9903) = 82.01 = 82°

6.) cos(A) = 0.6428

A = cos^-1(0.6428) = 49.99 = 50°

8.) tan(A) = 1.2851

A = tan^-1(1.2851) = 52.111 = 52°

9.) cos(A) = 1.2608

A = cos^-1(1.2608) = domain error

10.) sin(A) = 0.7777

A = sin^-1(0.777) = 50.98 = 51°

11.) sin(A) = 1.8330

A = sin^-1(1.8330) = domain error

Which equation shows the variable terms isolated on one side and the constant terms isolated on the other side for the equation 3х-5=2x+ 10?

Ox= 5

О-5а Х

O-15 = -5x

O-5х = 15

Answers

D is the answer to the question

pythagorean theorem: FIND X​

Answers

Answer:

X²=5²+12²

X²=25+144

X²=169

X²=13²

X=13

Answer:

x = 13

Step-by-step explanation:

The first step to finding x is to apply the numbers to the Pythagorean Theorem.

The formula for the Pythagorean Theorem is a^2 + b^2 = c^2.

1. Now we have to put the known values in place of the letters.

a = 12

b = 5

c = x

2. Since the formula is squaring a, b, and c, we have to square the numbers too.

a = 12^2

b = 5^2

c = x^2

12^2, or 12 squared, is 144.

5^2, or 5 squared, is 25.

3. Next we have to add those two numbers.

144 + 25 = 169

4. Lastly, we have to square root 169

√169 = 13

Therefore, your answer is 13.

Hope this Helps!

Can someone help me I’m having trouble finding the area of the shaded region in each figure and round the answer to two decimal places and I have to use 3.15:(

Answers

Answer:

Step-by-step explanation:

Area of a Semi Circle

Area = 1/2 pi r^2

r = d/2

r = 3/2

r = 1.5

Area = 1/2 3.14 * 1.5^2

Area = 1/2 * 3.14 * 2.25

Area =                                                           3.5325

Area of Rectangle

L = 12 Yd

W = 4 Yd

Area = L * W

Area = 12 * 4  =                                          48

Total Area =                                               51.5325

How did you compute sums of dollar amounts that were not whole numbers?

Answers

Answer:

$7.34

Step-by-step explanation:

To compute sum of dollars that are not whole numbers. Using the sum of$5.89 and$1.45 as an illustration :

$5.89 + $1.45

Taking the whole numbers first:

$5 + $1 = $6

Take the sum of the decimals :

$0.89 + $0.45 = $1.34

Sum initial whole + whole of sum of decimal

$6 + $1 = $7

Remaining decimal : $1.34 - $1 = $0.34

$7 + $0.34 = $7.34

|(2+1/3) + 0.3| = 3.5

Answers

Answer:

False

Step-by-step explanation:

l(2+1/3) + 0.3| = 3.5

|7/3+3/10|=7/2

|79/30|=7/2

158=210

false

0.3 is equivalent to 1/3 so this is the equation
2+1/3+1/3=3.5
2 2/3 (or 2.66) = 3.5
Which is incorrect

A right triangle has side lengths d, e, and f as shown below.
Use these lengths to find tanx, sinx, and cosx.

Answers

Answer:

tan x = [tex]\frac{f}{e}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

Step-by-step explanation:

tan x = [tex]\frac{opposite}{adjacent}[/tex]

tan x = [tex]\frac{f}{e}[/tex]

sin x = [tex]\frac{opposite}{hypotenuse}[/tex]

sin x = [tex]\frac{f}{d}[/tex]

cos x = [tex]\frac{adajcent}{hypotenuse}[/tex]

cos x = [tex]\frac{e}{d}[/tex]

A 24 pack box of colored gel markers cost $12.96 what is the cost per marker?

Answers

Answer:

approx. $1.85 or $1.86 each marker

Answer:

1.85 for each

Step-by-step explanation:

someone please help me and show your work :)

Answers

Answer:

5/8=.6

.6×4×=2.4×

.6×16=9.6

9.6-20=10.4

10.4/2.4×

×=4

You have only $5 bills and $10 bills in your pocket. If you have ten bills totaling $70, how many of each do you have?

Answers

it’s six 5
and four 10

5x6= 30
10x4=40
30+40=70
Person above is correct did it right know

Video club A charges $10 for membership and. $4 per movie rental. Video club B charges $15 for membership and $3 per movie rental. For how many rentals will be cost be the same at both video clubs? What is that cost?

Answers

Answer:

5 rentals for $30

Step-by-step explanation: *using y = mx + b*

Info Given:

Video Club A-

$10 (would be your b)

$4 (would be your x)

Video Club B-

$15 (would be your b)

$3 (would be your x)

HOW TO SOLVE:

Video Club A - y = 4x + 10

Video Club B - y = 3x + 15

Set them equal to eachother to solve for x!

4x + 10 = 3x + 15

     - 10         - 10

4x = 3x + 5

-3x -3x

x = 5 rentals

Plug in the x into both or just one equation to find the price!

y = 4x + 10

  = 4(5) + 10

  = 20 + 10

y = $30

open this file and answer

Answers

Answer:

C. 35x + 14y

and

B. 25x+14y+10x

Step-by-step explanation:

Expand 7(5x+2y)

7×5x=35x

7×2y=14y

=35x+14y is also the simplified version of 25x+14y+10x

Sarah paid $16.50 for 3 yards of fabric. how much did Sarah pay for each yard of fabric ​

Answers

Answer5.5:

Step-by-step explanation:

Divided 16.50 by 3

Answer:

5.50

Step-by-step explanation:

16.50 divided by 3 5.50

Expand and simplify (x − 3)(2x + 3)(4x + 5)

Answers

Answer:

8x³ - 2x² - 51x - 45

Step-by-step explanation:

Given

(x - 3)(2x + 3)(4x + 5) ← expand second/third factors using FOIL

= (x - 3)(8x² + 22x + 15) ← distribute

= x(8x² + 22x + 15) - 3(8x² + 22x + 15) ← distribute parenthesis

= 8x³ + 22x² + 15x - 24x² - 66x - 45 ← collect like terms

= 8x³ - 2x² - 51x - 45

Answer:

8x^3-2x^2-51x-45

Step-by-step explanation:

(x − 3)(2x + 3)(4x + 5)

(2x^2+3x-6x-9)*(4x+5)

(2x^2-3x-9)*(4x+5)

= 8x^3-2x^2-51x-45

The cost of a new house could be represented by the regression equation c= 120f + 90,000, where $120 is the cost per square foot and $90,000 is the cost of the lot. A new house on a lot costs $438,000

How many square feet does it have

Answers

Answer:

sent a pic on how I solved it

Step-by-step explanation:

pls brainliest<3

Goodluck<3

Do you ever subtract using the z-score?

A) yes
B) no
C) sometimes

Answers

C sometimes, It seems to be completely arbitrary when one must subtract the z-score table value from 1. ... So that's great if you want the left tail of a distribution, but if you want a right tail then you need to calculate the left tail and subtract it from 1 (which is the area of the entire standard normal curve).

which system of equations will yield the same solution to the system below?

x-y=3
2x-3y=-1

A- 2x-2y=-6
2x-3y=-1

B 2x-2y=6
2x-3y=-1

C -2x+2y=-3
2x-3y=-1

D 3x+3y=9
2x-3y=-1

Answers

The answer to the question is B

Answer:

Step-by-step explanation:

In order for us to be able to find our answer, we need to show our work.

-3(x-y=3) → -3x + 3y = -9

                 +2x - 3y = -1

____________________________

                  -1x = -10

                   -1      -1

We need to divide -1 both sides in order for us to be able to find our x-value but there's more to this than just solving for X.

x = 10

x - y = 3

10 - y = 3

-10       -10

_________________

-y = -7

-1     -1

We need to divide -1 both sides in order for us to be able to find our y-value. Please note that each y is equivalent to an invisible 1.

y = 7

As a result, your answer will be B.

please help me?????????????

Answers

the answer is 10m long

find the value of two numbers if their sum is 178 and their difference is 14

Answers

x+y=178
x-y=14
Then you add the two equations together
2x=195
Divide both sides by 2
x= 97.5



Use equation 1 to substitute for x
x+y=178
97.5+y=178
Subtract 97.5 from both sides
Y=80.5
97.5+80.5= 178

One number is 97.5
The other number is 80.5

2+2? PLZZZZZZZZZ FORRRRR MY GRADUACTIon

Answers

Answer:

ummmmmmmmmm 22

(kk it's 4)

hope this helped ur education btw

Plssssss help me!!!

Answers

Answer:

2h + 10

Step-by-step explanation:

The question gives one the height of Tree A (8h - 1) and the height of Tree B (6h - 11). The problem asks one to find how much taller Tree A is than Tree B. This problem can be modeled using a simple subtraction problem, the height of Tree A, minus the height of Tree B. Remember to distribute the subtraction sign outside of the parenthesis, and only combine like terms;

(Tree A) - (Tree B)

= (8h - 1) - (6h - 11)

= 8h - 1 - 6h + 11

= 2h + 10

Since there was no numerical value given for the variable (h), nor any value which this expression is equal, the final answer is (2h + 10).

Brooke has a cylinder metal tin where he keeps his coins. The radius of the base is 5.5 inches and the height is 4 inches what is the area of a vertical cross section of the cylinder through the center of the base?

Answers

Answer:

44 square inches.

Step-by-step explanation:

radius of the base = 5.5 inches

height of the cylinder = 4 inches

The shape of the vertical cross section of the cylinder through the center of the base would give a rectangle with length of 2r, and its width is the height of the cylinder.

Area of the vertical cross section = height x diameter

diameter of the cylinder = 2r

                                        = 2 x 5.5

                                        = 11 inches

The diameter of the cylinder is 11 inches.

Area of the vertical cross section = 4 x 11

                                        = 44 square inches.

The area of a vertical cross section of the cylinder through the center of the base is 44 square inches.

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