Answer:
15 percent of 90 hours = 13.5 hours
What is 15% of 90?
Y is 15% of 90
Equation: Y = P% * X
Solving our equation for Y
Y = P% * X
Y = 15% * 90
Converting percent to decimal:
p = 15%/100 = 0.15
Y = 0.15 * 90
Y = 13.5
Divide both sides by 1.5
1.5x = 3
x = 2
Check the equation by plugging in the 2.
1.5(2) = 3
3 = 3
Answer:
There were 26 students in his class and the teacher had 83 ml of the solution.
Step-by-step explanation:
Mr. Kohl has a "x" amount of solution, if he divides it by the number of students "n" he'll give each student 3 milliliters and have a left over of 5 milliliters. If the amount of solution Mr. Kohl had was "x + 21" then he'd be able to give each student 4 milliliters of the solution. From these informations we have:
x = 3*n + 5
(x + 21)/n = 4
x + 21 = 4*n
x = 4*n - 21
Now that we have two equations and two variables we can solve the system of equations, as seen bellow:
3*n + 5 = 4*n - 21
3*n - 4*n = -21 - 5
-n = -26
n = 26
x = 4*26 - 21 = 83 ml
There were 26 students in his class and the teacher had 83 ml of the solution.
The arcsine,

, is the inverse of the

function. This means that it takes as <em>inputs </em>what would usually be <em>outputs </em>for the

function and produces as <em>outputs </em>what would usually be <em>inputs </em>for the

function.
This can be particularly useful when you're trying to find an angle on a right triangle, but you've only been given the lengths of the sides. To find any angle

in a right triangle, just take

, where o is the side opposite

and h is the hypotenuse of the right triangle.
Answer:
A=πr2
Step-by-step explanation:
area = pie * radius (to the power of 2)
pie = 3.14
radius = middle point till the line of the circle