All categories

3 years ago

In a circle a central angle of 144 intercepts an arc of 15 inches. find the length of the radium of the circle in inches

Mathematics

1 answer:

Amiraneli [1.4K]3 years ago

6 0

Answer:

Correct option: c)

radius = 6 inches

Step-by-step explanation:

The complete arc of a circumference has 360 degrees, and the length is 2*pi*radius

Knowing this, we can use a rule of three to solve this problem:

144 degrees - > 15 inches

360 degrees -> 2 * pi * radius

144/360 = 15/(2pi*radius)

2pi*radius = 360 * 15 / 144

radius = 37.5/(2pi)

radius = 5.9683 inches

Rounding to nearest whole number, we have radius = 6 inches

Correct option: c)

You might be interested in

Verify the identity algebraically:<br> Csc(-x)tanx =-secx

weqwewe [10]

Step-by-step explanation:

Recall that

$\sin(-x) = -\sin x$

Therefore,

$\csc(-x) = \dfrac{1}{\sin(-x)} = -\dfrac{1}{\sin x}$

$\csc(-x)\tan x = \left(-\dfrac{1}{\sin x}\right)\left(\dfrac{\sin x}{\cos x}\right)$

$\:\:\:\:\:\:\:\:\:= -\dfrac{1}{\cos x} = -\sec x$

5 0

2 years ago

Pls help DUE TODAY (13points)

Brut [27]

Answer:

42 ft²

Step-by-step explanation:

Rectangle Area: L * W

$\bf A=(8ft)(6ft)$

$\bf 48 \; ft^2$

$\bf A= (3ft)(2ft)$

$\bf 6\;ft^2$

$\bf 48ft^2-6ft^2$

$\boxed{\bf 42\; ft^2}$

8 0

2 years ago

Read 2 more answers

What is 40/24 simplified

Kipish [7]

5/3
if you divide both numbers by 8 you will reduce them to their simplest form

8 0

3 years ago

Jose and Kaitlyn have a contest to see who can throw a baseball the farthest. Kaitlyn wins, with a throw of 200 ft. If Jose thre

Anton [14]

All you have to do to find the answer is divide 200 by 4 to get 50. so now you know 1/4 of 200 is 50. but jose threw the ball 3/4 as far kaitlyn so you would have to multiply 50 by 3 to get 150 which is 3/4 of 200 . so 150 ft is the answer and how far jose threw the ball.

4 0

3 years ago

Read 2 more answers

85 : 45 = 170 : x<br><br> Answer to get the answer for x

Marina86 [1]

x=9/34 that's the answer

8 0

2 years ago