Answer:
16
Step-by-step explanation:
If you have any questions about the way I solved it, don't hesitate to ask
Answer:

Step-by-step explanation:
We are given that fraction

We have to find the expression which is equivalent to given fraction .


Substitute the values then, we get

We know that

Using the property then, we get


This is required expression which is equivalent to given expression.
<h3>
Answer: 130</h3>
Explanation:
Let x be the unknown angle we want to find.
Let y be adjacent and supplementary to x. This means x+y = 180
Let z also be adjacent and supplementary to x. So x+z = 180 also
Subtracting the two equations leads to y-z = 0 and y = z. So effectively we've proven the vertical angle theorem.
Since the supplementary angles to x add to 100, we know that y+z = 100. Plug in y = z and solve for z
y+z = 100
z+z = 100
2z = 100
z = 100/2
z = 50
Therefore,
x+z = 180
x+50 = 180
x = 180-50
x = 130
Im guessing he answered 30 correct, let me know if im correct
Volume of a cone=(1/3)πr²h
Volume of a cylinder=πr²h
The cone has the same radius (r) and height than the cylinder that the cone fits exactly inside of.
Data:
Volume of a cone=5 in³
Then:
(1/3)πr²h=5 in³
πr²h=3(5 in³)
πr²h=15 in³ (remember: volume of a cylinder=πr²h)
Then the volume of a cylinder that the cone fits exactly inside of would be:
15 in³