2 years ago

A circle has a radius of 12.6 cm.

1 answer:

5 0

Circumference = 2 * PI * radius
circumference = 2 * PI * 12.6
If the central angle is 120°, then the arc will be exactly one third of the circumference.
arc length = (2 * PI * 12.6) / 3
arc length = 8.4 PI

You might be interested in

Find the length of the third side. If necessary, round to the nearest tenth. 6 10

Pavlova-9 [17]

If you round, it’ll be 7,0

6 0

2 years ago

Subtract the quotient of 18 and 2 from the sum of 22 and 9. A. 22 B. 4 C. 23 D. 5

frez [133]

Okay, so this is simple. It just needs steps.

Quotient of 18 and 2 = 9.
Sum of 22 and 9 = 31.

31 - 9 = 22.

8 0

2 years ago

Which expression is equivalent to 1/3b+2/3b−5/6(b+1)?

s344n2d4d5 [400]

First convert -5/6(b+1) to -5/6b-5/6 which looks like:
1/3b+2/3b-5/6b-5/6
second add 1/3b+2/3b=3/3b, convert to 6/6b so:
6/6b-5/6b-5/6
subtract 6/6b-5/6b = 1/6b so:
1/6b-5/6 is the answer

3 0

2 years ago

HELP

stiv31 [10]

The Answer Is No Solution!

4 0

2 years ago

A rescue helicopter flew from its home base for 35 kilometers on a course of 330 degrees to pick up an accident victim. It then

artcher [175]

I've drawn a triangle to represent the journey (see attached.

The angle from Home to Victim to Hospital is:

a = $90 - (360 - 330) = 90- 30 = 60^o$

Using the cos rule, we can solve for the length x:

$a^2 = b^2 +c^2 - 2bccosA
\\x^2 = 35^2+25^2-2(35)(25)cos60
\\x^2 = 1850 - 875
\\x^2 = 975
\\x = \sqrt{975}
\\x = 31.2249...$

Using the cos rule, we can solve for angle b:

$a^2 = b^2 +c^2 - 2bccosA
\\35^2 = 31.22...^2+25^2-2(31.22...)(25)cosb
\\1225 = 975 + 625 - 1561.249...cosb
\\-375 = -1561.249...cosb
\\b = cos^{-1}( \frac{-375}{-1561.249...}) 
\\b = 76.1...$

So the bearing the helicopter has to travel is:

270 - 76.1 = <u>193.9 degrees (1 dp)</u>

And the distance it travels is <u>31.2 km (1 dp)</u>

5 0

3 years ago