Answer:
the volume is 157.08
Step-by-step explanation:
formula is v=1/3hπr²
1: V=1/3(6)π(5)²
2. V=1/3(6)π(25)
3:V=2*π*25
4: V=157.079
Answer:
paralelogram.
Step-by-step explanation:
Make a graph, plot the points and draw lines connecting them. Make your own conclusion because I cant write this for you. :)
I would use length for this
Reduces to 6x=30
the answer is x= 5
As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:
Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:
Then, we know that the hypothenuse of the big triangle is m+p, so we have
which implies
Example:
The sum of two consecutive integers is -15. What is the product of the two integers?
x = 1st consecutive integer
x + 1 = 2nd consecutive integer {consecutive integers increase by 1}
x + x + 1 = -15 {the sum of two consecutive integers is -15}
2x + 1 = -15 {combined like terms}
2x = -16 {subtracted 1 from each side}
x = -8 {divided each side by 2}
x + 1 = -7 {substituted -8, in for x, into x + 1}
-8 and -7 are the two consecutive integers
Their product is 56.
