What is the value of 5^4/5^6
2 answers:
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We have been given work of Riley. By looking at his work carefully, we have to identify the error. So let's start from beginning.
First line is just the question so there will be no error.
After that we try to factor denominators
STEP1:
Factors are correct so no error in step1.
In step2, we have to find the common denominator which will be (x-2)(x-3)(x+3)
so that means she needs to multiply and divide 2nd term by (x-2)(x-3) while she multiplied by only (x-2). Which means she used wrong common denominator.
<u>Hence final answer will be "B. She used the wrong common denominator."</u>
(See attached picture for the diagram of both fuel tanks)
Answer:
2ft
Step-by-step Explanation:
==> Given:
Two cylindrical fuel tanks, one has a radius of 3ft, and height of 8ft, the second tank has a radius of 6ft and unknown height.
Also, volume of 1st tank = volume of 2nd tank
==> Required:
Find h = unknown height of the the 2nd tank.
=>Solution:
To find the height of the 2nd tank = h, we need to know the volume. Thus, volume of first tank = volume of 2nd tank.
Since the dimensions of the 1st tank are all given, let's find its volume.
Thus, volume of 1st tank using the formula V = πr²h (where π = 3.14, r = 3ft, h = 8ft)
V = 3.14*3²*8
= 3.14*9*8 = 226.08 ft³
Volume of first tank = volume of 2nd tank = 226.08 ft³
=> Let's find the height of the 2nd tank with same volume of 226.08ft³
Therefore, V = πr²h (V = 226.08, r = 6ft, h = ?)
226.08 = 3.14*6²*h
226.08 = 3.14*36*h
226.08 = 113.04*h
226.08/113.04 = h
2 = h
Height of the second fuel tank (h) = 2ft
