Answer:
142.1π in³
Step-by-step explanation:
Given that:
The radius (r) = 7 in
The slant height (y) = 25 in
Then the height (x) can be determined by using the Pythagoras rule:
y² = x² + r²
25² = x² + 7²
125 = x² + 49
125 - 49 = x²
x² = 76
x = √76
x = 8.7
The formula for the volume of a cone is;
= 1/3 πr²h
where;
height(h) is calculated as "x" from above = 8.7
Then;
= 1/3 × π × (7 in)² × 8.7 in
= 142.1π in³
Answer:
B. 250 pages
Step-by-step explanation:
Answer:

Step-by-step explanation:
When you have exponents above a like term and they are being multiplied together, you add them.
For example:

So let's group like terms in the numerator:
We can add terms like in the example.

Let's rearrange the denominator.

Now we have:
Cancel like terms
4/8 = 1/2
= 1 So it cancels
= s Since s is raised to the -1 it goes on top and becomes s.

Now we combine everything back together:

Answer:
AAS Theorem
Step-by-step explanation:
we can see that
angle ZVY ≅ angle WVY
angle VZY ≅ angle VWY
side VY shared by both triangles.
by Angle- Angle- SIde (AAS), the triangles are congruent.
Answer:
Step-by-step explanation:
-x + 5 = 5x - 6
-6x + 5 = -6
-6x = -11
6x = 11
x = 11/6
-11/6 + 30/6= 19/6
(11/6, 19/6)
answer is C