Answer:
5
Step-by-step explanation:
Answer:
Length: 10 cm
Width: 5 cm
Step-by-step explanation:
Answer:
c) The series diverges. There is no sum.
Step-by-step explanation:
A geometric series is a series of the form:
, 
Where:
- First term of the series, dimensionless.
- Common ratio, dimensionless.
A geometric series converges only if
. As
, the geometric series diverges. Hence, the right answer is C.
Answer:9
Step-by-step explanation:
<u> case a)</u> The area of the square hole is 8 square centimeters
we know that
the area of a square is equal to

where
b is the length side of the square
in this problem we have

<u>Find the length side b</u>

<u>the answer Part a) is</u>
the length side of the square is 
Part b) The volume of a cube shaped block is 64 cubic centimeters
we know that
the volume of a cube is equal to

where
b is the length side of the cube
in this problem we have

<u>Find the length side b</u>
![b^{3} = 64 \\b= \sqrt[3]{64} \\b= 4\ cm](https://tex.z-dn.net/?f=b%5E%7B3%7D%20%3D%2064%20%5C%5Cb%3D%20%5Csqrt%5B3%5D%7B64%7D%20%5C%5Cb%3D%204%5C%20cm)
therefore
<u>the answer Part b) is</u>
the length side of the cube is 