Your answer would be "D", because when finding the GCF of a term, you want to take the most out of it. Following the procedure of D, finding the greatest shared factor of 10 and 15 and the greatest shared power between exponent 2 and exponent 3, would allow you to find the GCF.
Answer:
Yes, it is true that
is a factor of
.
Step-by-step explanation:
Let us try to factorize 

Let us try to make a whole square of the given terms:

--------------
Formula used above:

In the above equation, we had
.
--------------
Further solving the above equation, taking
common out of 

Taking
common out of the above term:

So, the two factors are
.
The statement that
is a factor of
is <em>True.</em>
Answer:

Step-by-step explanation:
6^4/6^1
6^(4-1)
=6^3
Here too same procedure
4) 156 is the answer
Answer:
The ladder has to be 65 feet long to the nearest foot.
Step-by-step explanation:
The height of the chimney from the ground is the sum of the height of the wall and the height of the chimney.
Therefore, the height of the chimney from the ground = (30 + 33) = 63 feet.
Now, the ladder makes a right triangle with the ground and the chimney and the ladder makes an angle of 75.5° with the ground.
Therefore, using trigonometry we can write,

⇒ The length of the ladder = 65 feet.
Hence, the ladder has to be 65 feet long to the nearest foot. (Answer)