Answer:
The width is 2 ft
Step-by-step explanation:
We know the area of a rectangle is
A = l*w
The area is 6 and the length is 3
6 = 3*w
Divide each side by 3
6/3 = 3w/3
2 =w
The width is 2 ft
When we use arcsine, we are finding the angle while giving the trigonometric ratio.
Arcsin(u) = theta can be rewritten as:
sin(theta) = u
Sine is opposite over hypotenuse, so u/1 means that the side opposite to theta (the y value) is u, and the hypotenuse is 1.
We can use Pythagorean Theorem to find the adjacent (x value).
1^2 - u^2 = x^2
x = sqrt(1-u^2)
Back to the original question, we are trying to find cos(arcsin(u)). We just solved all the sides for our triangle using arcsin(u). Now we need to do cos(u).
Cosine is adjacent over hypotenuse.
So our answer is sqrt(1-u^2)/1
Or just sqrt(1-u^2)
The answer would be 102 <span>÷ 34 = 3</span>
He started the day off with 8 dollars and ended his day with 83 dollars
