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)
Answer:
5 seconds
Step-by-step explanation:
In 5 seconds it will be at 98 meters
x = -b/2a
x = -20/2(-2) = -20/-4 = 5
Answer:
$51.70 is the original price
Step-by-step explanation:
Step 1:
Turn 40% into a decimal which makes it 0.40
ex. 50% would be 0.50, 5% would be 0.05 etc.
Step 2:
Put the numbers into this formula: Original Price (x) - Percent Off times Original Price = Sales Price
x - 0.40x = 31.02 this is basically 1x - 0.40x = 31.02 so,
Solving the left side of our equation gives us 1x - 0.40x = 0.60x
so now you have: 0.60x = 31.02
Step 3:
Divide both sides by 0.60 which gets x by itself and gives us the original price which is $51.70
Well, 4 cups = 1 quart, so 4 *6= 24 cups in 6 quarts of lemonade.
It should give you the option to do so.
