If a circle has a radius of 16, and an arc length of 12, what is the angle measure of the central angle that matches that arc?

If A Circle Has A Radius Of 16, And An Arc Length Of 12, What Is The Angle Measure Of The Central Angle

Answers

Answer 1

Answer:

135°

Step-by-step explanation:

The arc length is calculated as

EF = circumference of circle × fraction of circle

     = 2πr × [tex]\frac{?}{360}[/tex]

Given EF = 12π , then

2π × 16 × [tex]\frac{?}{360}[/tex] = 12π ( divide both sides by 2π )

16 × [tex]\frac{?}{360}[/tex] = 6 ( multiply both sides by 360 to clear the fraction )

16 ? = 2160 ( divide both sides by 16 )

? = 135°


Related Questions

Write three fractions equivalent to 27/30. show work

Answers

54/60 108/120 216/240 double both numbers each time

the question is below
vvvv

Answers

60 cm2

Explanation:
Find area of each face/shape

Triangle:
1/2 x 4 x 3 = 6
(6 • 2 cos there are 2 triangles) 6 x 2= 12

Area of square on the left:
4 x 4 = 16
Area of middle rectangle:
3 x 4= 12
Area of rectangle on the right:
4 x 5 = 20

Add them all up together:
12 + 16 + 12 + 20= 60

MARK ME BRAINLIEST TYSM! HAVE. ANICE DAY :DDD

Answer:

j

Step-by-step explanation:

Given that sinx = 3/5 and cosy = 7/25, with x and y both being Quadrant I angles, find tan(x/2).

Answers

Answer:

0,33

Step-by-step explanation:

x = 36,87

y = 73,74

tan(x/2)

= tan(36,87/2)

= tan (18,44)

= 0,33

Answer:

multiply both side by 2 which gives u tan x 2 is equal to X

multiply it and it will give u the answer But make sure your calculator is in degree mode

A una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan. Terminada la actividad, cada uno de los muchachos salió acompañado por una dama. Hugo salió con la amiga de Nancy. Pamela, que no simpatiza con Nancy, salió antes que Manuel.

Answers

Answer:

Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

Step-by-step explanation:

Dado que a una reunión asistieron tres amigos: Manuel, Hugo y Coco; y tres damas: Pamela, Nancy y Susan, y terminada la actividad, cada uno de los muchachos salió acompañado por una dama, y Hugo salió con la amiga de Nancy, mientras que Pamela, que no simpatiza con Nancy, salió antes que Manuel, para determinar con quién salió cada persona debemos realizar el siguiente razonamiento lógico:

Hugo = Amiga de Nancy (no es Pamela) = Susan

Pamela = Sale antes que Manuel (no sale con Hugo) = Coco

Nancy = Manuel

Por lo tanto, Hugo salió con Susan, Coco salió con Pamela y Manuel salió con Nancy.

The trall around Loon Lake is 0.9 mile long. Which fraction is equivalent to 0.9?​

Answers

Answer:

9/10

Step-by-step explanation:

hey! i’ll give brainliest please help

Answers

Answer:

I think it's D

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

They are anxious to get their results

The amount of rona cases in Gotham city is 540 people for the first ½ of 2020. In July, a rona spike at the rate of 5.2 people for each day in the month hits. Additionally, the joker has infected all of Arkham Asylum’s 225 patients with the virus. What month will you hit 1,000 cases of rona in Gotham?

Answers

Answer:

Imma but it in the comments because i can't put it on here plus i can't put the thing on here either that's why i didn't do it yesterday

Step-by-step explanation:

In August, Cory begins school shopping for his triplet daughters. One day, he bought 3 packages of socks for $8 each and 3 pairs of shoes for d dollars each. Which pair of expressions represent the total amount Cory spent? * A. 3d + 8 and (d + 8)(d + 8)(d + 8) B. 3(d + 8) and (d + 8)(d + 8)(d + 8) C. 3d + 8 and (d + 8) + (d + 8) + (d + 8) O D. 31d + 8) and (d + 8) + (d + 8) + (d + 8) What is the value of the expression? (14 72 - 10.25); 2* 1 point​

Answers

Answer:

D. 3(d + 8) and (d + 8) + (d + 8) + (d + 8)

II. 2.235

Step-by-step explanation:

Given the following data;

3 packages at $8 each = 3 * 8 = $24

3 pair of shoes at $d each = $3d

I. To find the total amount of money Cory spent;

Total = 3d + 24

Factorizing, we have;

Total = 3(d + 8)

II. To find the value of the expression;

Your expression isn't explicitly written but I'll assume it's this;

(14.72 - 10.25)/2 =

4.47/2 = 2.235

Zeek then want to ride his bike to the old spaghetti factory. He wondering if he should bike 1 mile north, then 0.5 miles directly east, or if he should just go directly there to bike the shortest distance.

Answers

Answer:

He should travel directly

Step-by-step explanation:

Given

[tex]x = 0.5[/tex] --- East

[tex]y =1[/tex] --- North

If he goes through east north direction, the distance (d) traveled is:

[tex]d = x + y[/tex]

[tex]d = 0.5 + 1[/tex]

[tex]d = 1.5 mile[/tex]

If he travels directly, the distance (d) is:

[tex]d = \sqrt{x^2 + y^2}[/tex] ---- Pythagoras theorem

[tex]d = \sqrt{0.5^2 + 1^2}[/tex]

[tex]d = \sqrt{0.25 + 1}[/tex]

[tex]d = \sqrt{1.25}[/tex]

[tex]d = 1.12mile[/tex]

By comparison, he will travel the shortest distance if he travels directly because [tex]1.12 < 1.5[/tex]

Hence, he should travel directly

Octavia is wrapping a cube-shaped gift box with wrapping paper. If the cube's edge has a length of 27.8 in., what is the amount of wrapping paper Octavia needs to wrap the gift?

Answers

Answer:

21484.952 ft^3

Step-by-step explanation:

a cube has the same edges so its basically

27.8^3

A ladder that is 30 feet long needs to reach a 25 foot tall building. What angle is formed by the ladder and the ground if you place the ladder so it lies directly against the top of the building? Round your answer to the nearest degree.

Answers

Answer:

56°

Step-by-step explanation:

25^2 + b^2 = 30^2

625+b^2 = 900

b^2 = sq 275

b^2 =16.6

acos(cos⁻¹) (16.6/30).

Jack and Jill collect coins. Jack has 56 coins, and Jill has 80 coins. Both recently joined a coin-collecting club. Jack's club will send him 12 new coins per month, and Jill's club will send her 8 new coins per month. After how many months will Jack and Jill have the same number of coins?

Answers

Answer:

So, after 6 months, they both have the same number of coins.  

Step-by-step explanation:

Jack has 56 coins

Jill has 80 coins

Jack collect 12 coins per month

Jill collect 8 coins per month

Let after m months, they both have the same coin.

56 + 12 m = 80 + 8 m

12 m - 8 m = 80  - 56

4 m = 24

m = 6

So, after 6 months, they both have the same number of coins.  

Answer correctly please !!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Answer:

19.3

Step-by-step explanation:

tan ? = opp./adj = 7/20

? = arctan 7/20 ≈ 19.3

You are looking for a summer job at a sneaker shop. The most popular sneakers sold are shown below:

Answers

I would like to help you but you forgot to paste the picture of the most popular sneakers. Please post a picture and I’ll be happy to help you

Please help,
Find the area of the figure

Answers

Answer:

54

Step-by-step explanation:

I think it's 54

find values that complete the square, pls help these are the last questions :( ​

Answers

B.) 36 and D.)256
picture for proof

If a point C is inside

Answers

I don’t see your math problem

I need to get an a please help

Answers

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

Answer:

n ≥ -5/14

Step-by-step explanation:

64n - 6 ≥ 36n -16

subtract 36n from each side

64n -36n - 6 ≥ 36n-36n -16

28n - 6 ≥  -16

add 6 to each side

28n -6+6 ≥  -16+6

28n ≥ -10

Divide each side by 28

28n/28 ≥ -10/28

n ≥ -5/14

11. A skateboard ramp has a slope of 1/2. What is the angle the ramp makes with
the ground to the nearest degree?

Answers

we are given with the slope of a ramp that is equal to 2/5, that is x = 5 and y = 2. In this case, we can find the angle of elevation by using the formula: tan Ф = y/x
using a calculator (inverse tangent or arctangent), Ф = 21.8 degrees. In this case, the answer is D. 22 degrees.

What do I put In the empty boxes .

Answers

Show the options so we can see what we have to choose from
You have to show the options in the box

help me pls i need lots of help pls

Answers

Answer:

Its option D :)

---

28° + y + 36° = 180°

Which of the options below is equal to 5,000? Select ALL that apply.
A. 1/10 of 50,000
B. 10 times as much as 50
C. 100 times as much as 50
D. 1/100 of 50,000
E. 10 times as much as 500
F. 1/10 of 500,000

Answers

OPTION A ,C AND E IS CORRECT

1/10 x 50,000 = 5,000

100 x 50 =5,000

10 x 500 = 5,000

The weight of water is 0.036 pounds times the volume of water in cubic inches. How many pounds of water would fit into a fish tank shaped like a rectangular prism that is 14 inches deep, 25 inches wide, and 38 inches long? Round your answer to the nearest tenth when you enter it.

Answers

Answer:

Step-by-step explanation:

The weight of water is 0.036 pounds times the volume of water in cubic inches.

Volume of the tank = Length × Width × Height

= 14 × 25 × 38

= 13300 cubic inches

V

Evaluate the following expression when x = 1.5.
Show your work!
7.5 - X

Answers

Answer:

6

Step-by-step explanation:

7.5-1.5

=6

that is easy

Answer is 6—————————-/——/———————

Which of the following are solutions to |x+3|= 4x- 7

Answers

decimal form : 3.3333
mixed number form : 3 1/3
exact form : 10/3

Answer: 10/3 or 3.33

Step-by-step explanation:

what percent of 45 is 27?

Answers

Answer:

60

hope this helps

have a good day :)

Step-by-step explanation:

2- Guillermo envasa 355 ml de agua
fresca en cada botella. ¿Cuantas botellas
se necesitan para envasar 29,730,895 ml?

Answers

Answer:

83,749 bottles

Step-by-step explanation:

Each bottle contain = 355ml

Total water need to pack = 29,730,895 ml

So, we can calculate the number of bottles by using following formula,

Number of bottles required = Total water ÷ Each bottle contain

by putting the value, we get

Number of bottles required = 29,730,895 ÷ 355

= 83,749

Hence, total number of bottles required is 83,749.

PLSSS HELP ME WITH THESE :)))

Answers

Answer:

7) [tex]x \to x - 3[/tex].

8) [tex]y \to y + 2[/tex]

9) The entire quadratic equation did not get reflected.

Step-by-step explanation:

7) A horizontal translation to the right is of the form:

[tex]x \to x - a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex], then the horizontal translation is represented by [tex]x \to x - 3[/tex].

8) A vertical translation upwards is of the form:

[tex]y \to y + a[/tex]

Let [tex]y = -(x-3)^{2} + 2[/tex] , then the vertical translation is represented by:

[tex]y \to y + 2[/tex]

9) The only component of the quadratic equation that was reflected was the part [tex](x-3) ^{2}[/tex] along the x-axis. We can create the entire function by applying the following steps:

(i) [tex]f(x) = x^{2}[/tex] (Original function)

(ii) [tex]f(x) = (x-3)^{2}[/tex] (Horizontal translation)

(iii) [tex]f(x) = - (x-3)^{2}[/tex] (Reflection)

(iv) [tex]f(x) = -(x-3)^{2} + 2[/tex] (Vertical translation)

The entire quadratic equation did not get reflected.

Which set of side lengths forms a right triangle? 2 3 13, 4 6 10, 9 12 18, 15 36 39 ,
plz hurry timed edge2021

Answers

Answer:

15, 36, 39

Step-by-step explanation:

when these are squared they add up to 39 squared following the Pythagorean theorem

Please help me asap please please

Answers

x = 50

Step-by-step explanation:

the two angles at the bottom would he the same. Since the interior angles of a triangle must add up to 180 the you just subtract that from 180. 180-(65+65)=50

Answer:

x = 50

Step-by-step explanation:

Since the 2 sides are equal to each other, so are the angles. This is an isoceles triangle, by the way. All triangle interior angles add up to 180.

So, the equation is:

x + 65 + 65 = 180

x + 130 = 180

x = 180 - 130

x = 50

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