The length of the hypotenuse AB will be equal to 17 cm.
<h3>
What is trigonometry?</h3>
The branch of mathematics sets up a relationship between the sides and the angles of the right-angle triangle are termed trigonometry.
It is given that:-
Side AC is 8 cm
Side CB is 15 cm
By using the Pythagorean theorem:-
AB² = AC² + BC²
AB² = 8² + 15²
AB² = 64 + 225
AB² = 289
AB = √289
AB = 17 cm
Hence the length of the hypotenuse AB will be equal to 17 cm.
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Answer:
(8,-5)
Step-by-step explanation:
The slope of the line is -1/5, therefore one of the points is located at (8,-5)
Hope this helps!
<h2>These measurements will not form a triangle.</h2>
Step-by-step explanation:
We have sine formula

Given
a = 9.7
b = 49
A = 26°
Substituting

Value of sin B is greater than 1, which is not possible.
Hence these measurements will not form a triangle.
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Answer:
$500
Step-by-step explanation:
There are 5 hours from 7 pm to midnight. At $100 per hour, the cost will be ...
($100/h)(5 h) = $500
The entertainment will cost $500.
Answer:

Step-by-step explanation:
We are given:

Factor:

Difference of Two Squares:

Zero Product Property:

Solve:

Take the square root. Since we are taking an even-root, it requires plus/minus:
