Answer:

Step-by-step explanation:
the information we have is:
- the radius of the circle in the base:
(u for units)
- and the height of the cone:

to find the volume we need the formula for the volume of a cone:

where r is the radius and h is the height.
Substituting the known values to find the volume:

the volume in terms of
is 
and if we substitute the value of pi:
we get:

Answer:x^2 + 8x + 20
a = 1
b = 8
c = 20
Discriminant = b^2 - 4ac
=> 8^2 - 4(1)(20)
=> 64 - 80
=> -16
As -16<0
So, equation has no real roots
I hope this will help you
(-:
Step-by-step explanation:
Answer:
68 pounds.
Step-by-step explanation:
Find the total weight when there are 10 boys and when there are 9 boys then calculate the difference.
I'll let x = total weight.

Therefore, the youngest boy weighs 68 pounds.
Answer:
<em>PZ = 15</em>
Step-by-step explanation:
<u>Similar Triangles</u>
Two triangles are similar if all of their corresponding side lengths are proportional to the same scale factor.
It's given triangles TPR and XPZ are similar, thus we can find the scale factor by comparing two corresponding sides with known lengths.
Sides TR and ZX are corresponding and the proportion of their side lengths is 15/9. The same proportion must be satisfied by the sides TP and XP:

PX and PZ are congruent, thus:


Calculating:
PZ = 15

The answer=>
For this,we need to know what's Middle splitting method
- In order to factorize x² + bx + c we have to find numbers p and q such that p + q = b and pq = c. After finding p and q, we split the middle term in the quadratic as <em><u>px + qx and</u></em> get desired factors by grouping the terms.
Step-by-step explanation:

i.e
Alpha= Beta = 4