Answer:
The answer is 51
Step-by-step explanation:
First you to eliminate i from denominator.
mult by (7+3i) above and below
=(49+42i-9)/(49-9)
which is (40+42i)/40 which can simplify
The volume of a cuboid is given in terms of length, width, and height by ...
... V = LWH
Filling in the given numbers, we can solve for the height.
... 8100 in³ = (30 in)(15 in)H
Dividing by the coefficient of H, we have ...
... (8100 in³)/(450 in²) = H = 18 in
The chest will be 18 inches tall.
Answer:
See Explanation
Step-by-step explanation:
Given

(every hour)
Required
Explain why it is linear
First, we need to determine the equation that represents the scenario
Let x be the number of hours worked and y be the number of figurines at x hours.
The equation is determined as follows:

This gives:


Reorder

A linear equation is of the form

By comparison,
is equivalent to 
<em>Hence, we can conclude that the situation is linear</em>
Answer:
The area of the parallelogram is 
Step-by-step explanation:
Remember that a mixed fractions are composed for a whole number, a numerator and a denominator. For example in the mixed fraction
: 2 is the whole number, 1 is the numerator and 3 is the denominator.
If you want to convert to a improper fraction you need to multiply the whole number by the denominator and add to the numerator. The result will be the numerator of the improper fraction. The denominator remains the same.

1. Convert the mixed fractions in the improper fraction type, as follows:

2. Replace the data in the equation of a parallelogram


3. Convert the improper fraction in a mixed fraction

The area of the parallelogram is 