Let's calculate the hypotenuse of this right triangle:
(Hypotenuse)² = 8² + 15² = 289, Hypotenuse = √289 = 17.
a) If Ф is facing the largest side (15), then sinФ = opposite side / hypotenuse
and sinФ = 15/17 = 0.8823
b) If Ф is facing the smallest side (8), then sinФ = opposite side / hypotenuse
and sinФ = 8/17 = 0.4705
Answer:
4²¹/5⁶ or 4398046511104/15625
Step-by-step explanation:
Remember, when raising a term with an exponent to some power, you must multiply the powers.

Answer:
x = 44
Step-by-step explanation:
sqrt(x+5) -3 =4
Add 3 to each side
sqrt(x+5) -3+3 =4+3
sqrt(x+5) =7
Square each side
(sqrt(x+5))^2 =7^2
x+5 = 49
Subtract 5 from each side
x+5-5 = 49-5
x=44
Answer:
Yes!
The solution to the equation is n = 2
Step-by-step explanation:
Given the equation

remove the parentheses

Add 3 to both sides

Simplify

Add 2n to both sides

Simplify

Divide both sides by 6

Simplify

Therefore, the value of n = 2.
Hence,
Yes!
The solution to the equation is n = 2