First you need to find the area of the circle, which is πr^2
With a radius of 8 inches, the area of the circle will be π*8^2 or 64π.
Next you want to find the area of the 120 degree section of that circle.
120 degrees is 1/3 of a circle, so all you have to do next is multiply the are of the circle by 1/3 (because 360/120= 1/3).
(1/3)(64π) --> All you really have to do here is multiply 64 by 1/3 or divide it by 3 (because to divide by a number is the same a multiplying by it's reciprocal) so you get (64/3)(π).
64/3 is 21 and 1/3 or 21.333..., so however you choose to write it, I will leave the answer as (64/3)π squared inches.
Answer:
y = -3x - 5
Step-by-step explanation:
3x - y = 5
+3x +3x
-1y = 3x + 5
---- ----- -----
-1 -1 -1
y = -3x - 5
90+30x+30y. This is because the first day, 90 labels were printed, then you will use 30 times x to find how many minutes. This is the same for 30 times y. Youre trying to figure out how many minutes each machine printed for.
Answer:
About 23.9 in
Step-by-step explanation:
We are given ;
a circle whose radius is 3.8 inches
we are required to determine the circumference
The circumference is given by the formula;
=2πr
Therefore;
Circumference = 2×3.14×3.8 in
=23.864 in
= 23.9 in
Therefore, the circumference of the figure is about 23.9 in
Answer:
a 25 questions, 4 points b 19 questions
Step-by-step explanation:
a 96:100 = 24 : x
x = (100 x 24)/96 = 25 questions
100 : 25 = 4 points
b 76:100 = x : 25
x = (76 x 25)/100 = 19 questions