Answer:
c=7.07
Step-by-step explanation:
c²=a²+b²
c²=5²+5²
c²=25+25
c²=50
c=√50
c=7.07
B. c=7.07 (to nearest hundredth)
C. c=√50= 5√2 in radical form
<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 
"lowest terms". Whenever 2 numbers have a GCF of 1, that means there isn't anything that can divide out of both numbers, which is called "lowest terms." It means that the fraction cannot be reduced any more.
Answer:
5
Step-by-step explanation:
(Refer to image)
Replace the numbers with the variables and solve using order of operations