Use Pythagorean theorem
a^2 + b^2 = c^2
12^2 + 35^2 = c^2
144 + 1225 = c^2
1369 = c^2
Sqrt 1369 = c
37 = c
To make a percent to a decimal, move the decimal to the left 2 times.
43%=0.43
Answer:
x > 9.
Step-by-step explanation:
Here it is just simplifying the inequality.
6 - 2/3x < x - 9
Add 2/3x to both sides.
6 < 5/3x - 9
Add 9 to both sides.
15 < 5/3x
Multiply by 3/5.
9 < x
Flip it.
x > 9.
The closer Diana gets to the building, the smaller the angle becomes
Diana is 17.6 feet closer to the building
<h3>How to calculate the distance from the building</h3>
To calculate the distance between her and the building, we make use of the following tangent ratio

Where:

- h represents the height of the building; h = 130
- d represents the distance from the building
So, we have:

Make d the subject

Evaluate tan(40)


Initially, Diana is at a distance of 172.53.
The difference in both distance is:


Hence, Diana is 17.6 feet closer to the building
Read more about trigonometry ratios at:
brainly.com/question/4326804
Answer:
81
Step-by-step explanation:
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