Answer:
706.50 cubic cm.
Step-by-step explanation:
Given that a cylinder shaped juice pitcher has a diameter of 12 cm and a height of 25 cm.
We are to find out the t volume of juice does the pitcher contain when it is 25% full. 3.14 is to be used for pi.
Volume of the cylinder = 
When it is 25% full the volume would be 1/4 of the full volume
=
cubic cm
So volume when 25% full is
706.50 cubic cm.
The vertex form of all expressions is given below.
We have given that the expressions
We have to write the function in vertex form.
<h3>What is the vertex form of the equation?</h3>
The vertex form of a quadratic function is given by f (x) = a(x - h)^2 + k, where (h, k) is the vertex of the parabola.
Therefore the first equation
it can be written as
The second equation can be written as
vertex for is,
The third equation is,
Vertex form is,
Forth equation is,
Vertex form is,
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Answer:
40
Step-by-step explanation:
In the triangle, there is a 90 degree angle and Angle 1 (what we are looking for) and the other angle, lets call is Angle 2.
Lets find Angle 2 first.
First of all, the angle between angle 40 and 90 can be found easily.
That angle (lets call it "x) and 40 and 90 make a straight angle (180 degrees). So we can write:
40 + x + 90 = 180
Lets solve for "x":
40 + x + 90 = 180
130 + x = 180
x = 180 - 130
x = 50
Now, This angle (50) and Angle 2 are same [vertical angles]
So,
Angle 2 = 50
Now, there are 180 degrees in 3 angles in a triangle. So for the triangle shown, we cacn write:
90 + Angle 1 + Angle 2 = 180
90 + Angle 1 + 50 = 180
Angle 1 + 140 = 180
Angle 1 = 180 - 140
<u>Angle 1 = 40</u>
Answer:
The answer is x = 5
Step-by-step explanation:
The given equation is
25 - 3x = 10
So when we break down this equation, we will have the value of x. Now breaking down the equation and moving variables to the correct positions.
25 - 3x = 10
Moving -3x and 10 to the other sides
25 - 10 = 3x
3x = 25 - 10
3x = 15
Now dividing both sides with 3, we get the following answer
3x/3 = 15/3
x = 5
Breaking down the equation gives us the value of x, i-e 5
