QUESTION A
The given multiplication problem is

Factor each term to obtain;

Cancel out the common factors to obtain;

Simplify to get;

QUESTION B
The given multiplication problem is

This the same as

This simplifies to;

QUESTION C
The given problem is

This is the same as


This simplifies to

QUESTION D.
The given expression is

Factor the 54 to obtain;

Cancel the common factors to get;

This simplifies to;

QUESTION E
The given problem is

Convert the mixed numbers to improper fraction to obtain;


Cancel the common factors to get;


QUESTION F
The multiplication problem is

Convert the mixed numbers to improper fractions to obtain;

Cancel out the common factors to get;

Simplify;

QUESTION G
The given problem is

Convert to improper fractions;

Cancel out the common factors to get;


Convert back to mixed numbers

QUESTION H
The given expression is

Convert to improper fraction to get;

Cancel common factors to get;

Simplify

Convert back to mixed numbers;

The area of Rectangle A will always be 36 times the area of Rectangle B.
For example:
If Rectangle B has length 1 and width 2, Rectangle A will have length 6 and width 12. By multiplying, Rectangle A will have an area of 72 and B 2. Divide the two numbers and you will have 36.
Feel free to try with other numbers if you want to test it out.
We will use trigonometry:
tan 45° = 1500 / x
1 = 1500 / x
x = 1500 ft
tan 42° = 1500 / y
0.9 = 1500 / y
y = 1500 : 0.9
y = 1666.67 ft
L = y - x ( where L is the length of the runway )
L = 1666.67 - 1500 = 166.67 ft.
Answer:
A) not congruent. You only know one side and one angle to be congruent.
Step-by-step explanation:
The given function has no undefined points nor domain constraint. Thus, the domain is:
.
<h3>Domain and Range</h3>
The domain of a function is the set of input values for which the function is real and defined. In the other words, when you define the domain, you are indicating for which values x the function is real and defined. An example, there is a restriction for the domain of fractions. The variable x in the denominator should be different of zero.
While the domain is related to the values of x, the range is related to the possible values of y that the function can have.
In this question, the function
has no undefined points nor domain constraint. Therefore, the domain is: 
Learn more about the domain here:
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