Answer:
height of cylinder = 4/3 h
Step-by-step explanation:
The solid has a cylinder surmounted with a cone .Therefore, the volume of the solid is the sum of the cone and the cylinder.
volume of the solid = volume of cylinder + volume of cone
volume of the solid = πr²h + 1/3πr²h
let
height of the cylinder = H
recall
the height of the cone = 2h
volume of the solid = πr²h + 1/3πr²h
3(1/3πr²2h) = πr²H + 1/3πr²2h
2πr²h = πr²H + 2/3 πr²h
πr²(2h) = πr²(H + 2/3 h)
divide both sides by πr²
2h = H + 2/3 h
2h - 2/3h = H
H = 6h - 2h/3
H = 4/3 h
height of cylinder = 4/3 h
I believe this is how you do it...
AI=5, 5 squared=25
IF=12, 12 squared=144
144+25 (only because line A F is bigger than AI or IF does it add)
A F=169
Hope this helps sorry my writing is messy
Answer:
square root of 1024 is 32
Answer:
x^2 +10x + 21
Step-by-step explanation:
You know the distributive property tells you ...
a(b +c) = ab +ac
Here, you can let
and you get ...
a ( b + c ) = a·b + a·c
(x +3)(x +7) = (x +3)·x +(x +3)·7
Now, you can use the distributive property on each of those products:
= x·x +3·x +x·7 +3·7
= x^2 +10x + 21
_____
<em>Alternate solution</em>
This is perhaps more commonly done by separating the terms of the first factor first:
(x +3)(x +7) = x(x +7) +3(x +7)
Then the next round looks like ...
x^2 +7x +3x +21
In order, left to right, these terms are the products of First terms, Outer terms, Inner terms, and Last terms. The acronym FOIL is often used to help students remember these pairs of products.
The acronym FOIL is only useful when multiplying a pair of binomials.
For anything else, the distributive property is relatively easy to remember and apply. Each term in each factor is multiplied by the remaining factors. The process is repeated until there are no parentheses left. Then like terms can be collected.
