Cos(arcsin(u)) = √(1 - u²)
_____
You want cos(α) where sin(α) = u.
You know that
cos(α)² + sin(α)² = 1
cos(α)² = 1 - sin(α)² = 1 - u²
cos(α) = √(1 - u²)
Answer:
The answer to your question is 24.7 ft
Step-by-step explanation:
Data
length of the ladder = 25 ft
distance from the ladder to the ladder = 4 ft
distance from the floor to the ladder = ?
Process
1.- Use the Pythagorean theorem to solve this problem
c² = a² + b²
- solve for b
b² = c² - a²
-Substitution
b² = (25)² - (4)²
-Simplification
b² = 625 - 16
b² = 609
-Result
b = 24.67 ft ≈ 24.7 ft
-Conclusion
The ladder is 24.7 ft from the floor.
Your answer is 4 because 32 divided by 8 is 4
Use the FOIL method to multiply these terms. Multiply the first, outside, inside, and last terms:
(5x - 4)(2x - 5)
(5x)(2x) + (5x)(-5) + (-4)(2x) + (-4)(-5)
10x² - 25x - 8x + 20
10x² - 33x + 20
The area of the rectangle should be 10x² - 33x + 20.
You need to calculate 12% of 800.
To find a percent of a number, multiply the percent by the number.
Change the percent into a decimal by dividing the percent by 100 (move the decimal point of the percent two places to the left.)
12% of 800 =
= 12% * 800
= 0.12 * 800
= 96
Answer: 96 students
