Answer:
Step-by-step explanation:
{-84:(-4)=21 and -1764:(-84)=21 and -37044:(-1764)=21}
geometric sequence formula: 
Answer:
1: 3 ratio of the volume of the cone to the volume of the cylinder
Step-by-step explanation:
Volume of cone(V) is given by:
where, r is the radius and h is the height of the cone.
Volume of cylinder(V') is given by:
where, r' is the radius and h' is the height of the cylinder.
As per the statement:
A cylinder and a cone have congruent heights and radii.
⇒r = r' and h = h'
then;
⇒
Therefore, the ratio of the volume of the cone to the volume of the cylinder is, 1 : 3
Answer:
The answer is below.
Step-by-step explanation:
The GCF is 2z because it is the biggest number that can be factored out of both numbers. Also, since the 8z has no exponent, the GCF of 2z doesn't need one either.
If this answer is correct, please make me Brainliest!
Assuming the man works 8 hours straight without breaks:
25% is the same as 1/4 of something.
So, we just have to figure out what 1/4 (one quarter) of 8 equals.
You can think of it as a pizza cut into 8 slices. One slice is equivalent to one hour for the patrolman.
If we take away 1/2 (half) of the pizza, we have 4 slices, right? Since we start with 8 slices, half of that equals 4 slices. In other words, 50% (half) of the pizza = 4 slices.
Now, 25% (one quarter) of the pizza will equal half of what is left:
If we know that 50%=4 slices (or 4 hours), then 25% must be 2 slices (or 2 hours).
That's it! 25% of 8 hours = 2 hours.
***So, the patrolman spends 2 hours each day completing paperwork.***
Lets check our work:
We know 8 hours (or 8 slices)= 100%
(We know this because
8 slices = 1 whole pizza, or 100% of a pizza. Similarly,
8 hours = 1 whole shift or 100% of the man's shift ).
So
25% + 25% + 25% + 25% = 100%
If 100% of the mans shift = 8 hours:
2+2+2+2 = 8
It checks out!
Hope this helps!
