Answer:

Step-by-step explanation:
The diagonal forms two 45-45-90 triangles, with the diagonal being the hypotenuse of both. The Pythagorean Theorem states that
, where
is the hypotenuse of the triangle, and
and
are the two legs of the triangle.
From the Isosceles Base Theorem, the two legs of a 45-45-90 triangle are always equal. Since we're given a diagonal of
, we have:

48.
N/6 = 8
48/6 = 8
8 = 8
8 does indeed equal 8
Good luck!
Answer: Rate of water flow is 12/5 gallon per minute
Step-by-step explanation:
Given the following :
Volume of faucet pot = 2 gallon
Time taken to fill the faucet pot = 5/6 of a minute = (5/6) minute.
Rate of water flow:
Volume of faucet pot / time taken
= 2 gallon ÷ (5/6) minute
= 2 gallon × (6/5) minutes
= (12 /5) gallon / minute
= 2 2/5 gallon / minute
Hence rate of water flow is 12/5 gallon per minute.
Prime factorization is when the numbers are divided until they cannot be divided anymore.
For example, the number 18.
18/2 = 9
9/3 = 3
So the prime factorization is 2,3,3
As it says use exponents: There are 2 threes. 3 x 3 is the same as 3²
3² x 2 should be your answer
hope this helps
Answer:
yes -156 is correct
Step-by-step explanation: