Answer:
10
Step-by-step explanation:
Volume=(4/3)pir^3
volume=288pi
288pi=(4/3)pir^3
divid eobht sides by pi
288=(4/3)r^3
multiply both sides by 3/4 to clear fraction (4/3 times 3/4=12/12=1)
216=r^3
cube root both sides
6=r
surface area=4pir^2
surface area=4pi6^2
surface area=4pi36
surface area=144pi in^2
16)
(4x + 2) is equal to 150 because they are vertical angles. When two lines intersect, on the opposite sides of the x like these are will be equal to one another. So let’s make them equal to each other.
4x + 2 = 150
Subtract 2
4x = 148
Divide by 4
x = 37
So it will be A
17)
The two angles added up with each other
34 + 146 = 180
Since these two add up to 180 degrees, they would be supplementary angles.
So, H
18)
The two angles will make a 90 degree angle (as shown with the little box formed in the corner)
When angles add up to make 90 degrees, they will be complimentary angles.
So, C.
Answer:
Step-by-step explanation:
Here is a diagram of a seven sided regular polygon. You use this diagram to find out how many degrees total are in the interior of a the heptagon. There are 5 such triangles which means that since each triangle has 180o the total amount of the interior angles must be 5 * 180 = 900
Since there are 7 interior angles, the answer to how large each one of them is is found by
900/7 = 129.57 which is slightly off because it is a rounded error.
In general, the size of the angles in a regular polygon
180(n - 2 ) / n
Where n is the number of degrees in each interior angle. For example for an 8 sided figure you would get
180(8 - 2) / 8 = 180 * 6/8 = 133 degrees.
answer
Step-by-step explanation: