Answer:
Arc length of circle with circumference 18 and an arc with a 120° central angle is:
6
Step-by-step explanation:
The arc length of a circle is given by:
Here, circumference=18
i.e. 2πr=18
and
Arc length=
Hence, Arc length of circle with circumference 18 and an arc with a 120° central angle is:6
Hope that was helpful.Thank you!
Answer:
10x13 is 130
130x8 is 1040
Since the door is part of the wall, but won't be painted, you subtract 1040-21 which is 1019
Answer:
9/29
Step-by-step explanation:
If you add all of the cards together, you will get thirty. But when you take one red card out, you get 29. Since there are 9 orange cards, then there is a 9 out of 29 chance.
y = -2x + 9
y = 4x - 3
y is isolated in both equations, thus you may set the expressions (-2x + 9) and (4x - 3) equal to each other and solve for x.
-2x + 9 = 4x - 3
Subtract 9 from both sides.
-2x + 9 - 9 = 4x - 3 - 9
-2x = 4x - 12
Subtract 4x from both sides.
-2x - 4x = 4x - 12 - 4x
-6x = -12
Divide both sides by -6.
-6x/-6 = -12/-6
x = 2
Substitute 2 for x into one of the original equations to find y.
y = 4x - 3 (given)
y = 4(2) - 3 (substitute)
y = 8 - 3 (multiply)
y = 5 (subtract)
Plug x- and y-values into original equations to check work.
5 = -2(2) + 9
5 = - 4 + 9
5 = 5
5 = 4(2) - 3
5 = 8 - 3
5 = 5
Answer:
x = 2 and y = 5; (2, 5).