Do you remember that we cannot add fractions when they have unlike denominators? We can onyl add fractions as long as they have the same denominator!
So here's the big idea: fractions must have the same denominator.
If we multiply the first fraction by 2, then both fractions will have the same denominator. *
* <em>Why 2??</em>
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- Because:
We need to find the least common multiple of 3 and 6, which is 6. Next, what should 3 be multiplied by to result in 6? That's right, 2.
Also, we can only multiply the denominator by 2 as long as we multiply the numerator by 2!
So that's why we multiply the whole fraction by 2
Watch what happens
Add the numerators
Simplifying the fractions
Hope that helped
Answer:
300 units^3 or 96π
Step-by-step explanation:
Volume of the cone would be:
Because the formula of finding the volume of cone is
V = πr^2 * h/3
r is the radius of the base
h is the height of the cone
π is Pi, approximately 3.142 and it is the circumference of any circle divided by its diameter
V is volume
So in this case:
V = πr^2 * h/3
V = π * 6^2 * 8/3
V = π * 36 * 8/3
V = 96π or 301.44 and round it up to 300 units^3
Hope this help :3
Answer:
-63
Step-by-step explanation:
This arithmetic progression
The formula is a+(n-1)d
a means the first value
n is the nth term
d is the difference
So a is -5
n is 30
d is -2
So let's substitute
-5+(30-1)-2
-5+(29)-2
-5-58
-63
Therefore the final answer is-63
Just follow the step and the general formula, you will get your final answer
Answer: 
Step-by-step explanation:
Given
Length of Prism is 
The width of Prism is 
The height of Prism is 
The volume of a The height rectangular prism is given as
Substituting values we get
Volume of storage 
The difference in volume is
The line and parabola intersect at x=-1 and x=4, so your solution is C. –1 and 4
