]Answer:

Step-by-step explanation:
Substitute the value of the variable into the equation and simplify.

Solve it out.
Multiply / divide / add / subtract everything out.
Answer:

Step-by-step explanation:
The side of the house is a side of the right triangle.
The ladder is 3 feet away, so it forms a triangle with sides 3, 10, x.
We're trying to find the hypotenuse, which is given by Pythagoras' Theorem:

Answer:
1 3/4
Step-by-step explanation:
5/4 + 1/2
Get a common denominator of 4
5/4 * 1/2 *2/2
5/4 + 2/4
7/4
Rewriting as a mixed number
4/4 + 3/4
1 3/4
Answer:
t = 40
Step-by-step explanation:
Given the logarithmic expression: 
Use the Logarithmic Property (Quotient Rule):


Next, using the Logarithmic Property: 
We must determine the possible value of <em>t</em> that can be divided by 5 to produce a quotient of 8 that will make the <u>logarithmic property</u>,
, true. In that case,<em> t </em>= 40 divided by 5 results in a quotient of 8.

Therefore, the value of <em>t</em> = 40.
Answer:
5.66
Step-by-step explanation:
24 log₂ x = 60
log₂ x = 5/2
x = 2^(5/2)
x ≈ 5.66