Hi!
So we know that he has 20 candy bars.
= 20
He wants to give 2 to each friend. So 2 candy bars x friends.
2f
He's going to keep 10.
+10
Put all of the parts together.
2f + 10 = 20
The answer is 2f + 10 = 20
Hope this helps!
-Peredhel
The quadratic equation for this would be f(x) = 5x^2 - 10x - 120.
In order to find that, we need to start by taking our x intercept values and setting them equal to zero.
x = 6 ----> subtract 6 from both sides
x - 6 = 0
x = -4 ----> add 4 to both sides
x + 4 = 0
Now that we have both of these zero terms, we can multiply them to get a standard form.
f(x) = (x - 6)(x + 4)
And while this will give us the zeros we need, it will no give us the lead coefficient. So we must multiply by the desired lead coefficient.
f(x) = 5(x - 6)(x + 4)
f(x) = 5(x^2 - 6x + 4x - 24)
f(x) = 5(x^2 - 2x - 24)
f(x) = 5x^2 - 10x - 120
The answer is 1/3. since there are 2 marbles out of 6 that are blue, there is a 2/6 chance of a random marble picked being blue. However, 2/6 simplified is 1/3
Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
=
which is unknown.
Let us begin solving now. The first step is to find the angle which can be found by using the following trigonometric ratio in 
:
Which gives x to be:
Now, we know that and 
will get added to give us the complete angle 
in the right triangle 
.
We can again use the tan trigonometric ratio in to solve for the height of the statue, h.
This can be done as:
Thus, the height of the statue is approximately, 8.45 feet.
