All categories

3 years ago

What is the circumference of the circle shown below, given that the length of AC (the minor arc) is 8?

Mathematics

2 answers:

tangare [24]3 years ago

8 0

There are 360° in a full circle. Our given arc subtends an angle of 30°, and since 360 = 30 x 12, we can also multiply the length of the arc by 12 to find that our circumference is 8 x 12 = 96.

mezya [45]3 years ago

8 0

theta = arc/radius, theta being in radian, so theta = pie / 6, radius = arc / theta = 15.278 (unit if the arc) and then multiply that by 2 pie to get the circumference sorry :D, if you have a guide answer and my answer is wrong please tell me to revise

You might be interested in

The length of a rectangle is 5 inches more than 3 times the width. If the area of the rectangle is 68 square inches, what is the

Paladinen [302]

Answer:

Width=4, and Length=17

Step-by-step explanation:

first you will make a variable for the width which i will say is x

now make it an equation (3x+5) (x) = 68

then solve 3x^2+5x=68

then 3x^2+5x-68=0

then x=4

then you have to substitute so 3(4)+5= 17 and 4

6 0

3 years ago

Find the distance between the points (-1,-7) and (8,-9). The answer must be a whole number or a fully simplified radical express

ruslelena [56]

Answer:

The answer is

<h2> $\sqrt{85} \: \: \: units$ </h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

$d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\$

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-1,-7) and (8,-9)

The distance between them is

$d = \sqrt{( { - 1 - 8})^{2} + ({ - 7 + 9})^{2} } \\ = \sqrt{ ({ - 9})^{2} + {2}^{2} } \\ = \sqrt{81 + 4}$

We have the final answer as

$\sqrt{85} \: \: \: units$

Hope this helps you

3 0

3 years ago

Please help! I keep on getting the wrong answer!

valentina_108 [34]

Answer:

CODE: 1977.98

Step-by-step explanation:

(To get the closest answer, round the circumference to the nearest ten thousandth.)

C = 2(3.14)r Circumference formula: C = 2πr

C = 2(3.14)(3)

C = 18.84

A = (3.14)r²

A = (3.14)(3)²

A = (3.14)(9)

A ≈ 28.26

C. (It's asking for the circumference.)

C = 2(3.14)r

C = 2(3.14)(58)

C ≈ 364.24

D. (It's a linear pair, which is 180 degrees.)

4x + 2x = 180

6x = 180

x = 30

m∠ABD = 4x

m∠ABD = 4(30)

m∠ABD = 120°

E. (∠GHI & ∠JHK are vertical angles, so they are congruent.)

x + 7 = 3x - 21

28 = 2x

14 = x

F. (x = 14)

m∠JHK = 3x - 21

m∠JHK = 3(14) - 21

m∠JHK = 42 - 21

m∠JHK = 21°

G. (Supplementary - two angles that add up to 180 degrees.)

180 - 84

= 96°

CODE: E(C - D) - F(G - B) - A

CODE: 14(364.24 - 120) - 21(96 - 28.26) - 18.84

CODE: 14(244.24) - 21(67.74) - 18.84

CODE: 3419.36 - 1422.54 - 18.84

CODE: 1977.98

8 0

1 year ago

A right rectangular prism is packed with cubes of side length fraction 1 over 5 inch. If the prism is packed with 15 cubes along

Ann [662]

Given:

A right rectangular prism is packed with cubes of side length $\dfrac{1}{5}$ inch.

Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.

To find:

The volume of the prism

Solution:

Side length of each cube $=\dfrac{1}{5}$ inch.

15 cubes along the length, so length of prism is

$l=15\times \dfrac{1}{5}=3\text{ inches}$

6 cubes along the width, so width of prism is

$b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}$

5 cubes along the height, so height of prism is

$h=5\times \dfrac{1}{5}=1\text{ inch}$

Now,

Volume of rectangular prism is

$V=l\times b\times h$

$V=3\times \dfrac{6}{5}\times 1$

$V=\dfrac{18}{5}$

$V=\dfrac{3\times 5+3}{5}$

$V=3\dfrac{3}{5}\text{ cubic inches}$

Therefore, the correct option is B.

7 0

2 years ago

Look at the table of values below.

Eduardwww [97]

Answer:

y = 2x - 1

Step-by-step explanation:

1(2) - 1 = 1

2(2) - 1 = 3

3(2) - 1 = 5

4(2) - 1 = 7

3 0

2 years ago

Read 2 more answers