The figure is a scalene triangle, and the exact length of side a is √13
<h3>How to determine the exact length of side a?</h3>
To calculate the length of a, we make use of the following law of cosine
a² = b² + c² - 2bc * cos(A)
Using the values in the figure, we have:
a² = 3√2² + 5² - 2 * 3√2 * 5 * cos(45)
Evaluate the expression
a² = 18 + 25 - 30
Evaluate the sum and the difference
a² = 13
Take the square root of both sides
a = √13
Hence, the exact length of side a is √13
Read more about law of cosines at:
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If you divide the area of the rectangle by the length (44÷5.5) the answer is 8. Your answer is 8 ft.
Answer:
add them all up together and then divide by the number of items
Step-by-step explanation:
<u>ANSWER:</u>
The solution set for the inequality 7x < 7(x - 2) is null set 
<u>SOLUTION:</u>
Given, inequality expression is 7x < 7 × (x – 2)
We have to give the solution set for above inequality expression in the interval notation form.
Now, let us solve the inequality expression for x.
Then, 7x < 7 × (x – 2)
7x < 7 × x – 2 × 7
7x < 7x – 14
7x – (7x – 14) < 0
7x – 7x + 14 < 0
0 + 14 < 0
14 < 0
Which is false, so there exists no solution for x which can satisfy the given equation.
So, the interval solution for given inequality will be null set
Hence, the solution set is 
Answer:
8
Step-by-step explanation:
4-3+7=8