Answer: 4in
Step-by-step explanation:
Volume of a cylinder = πR²H
Volume of a cone = 1/3πr²h
πR²H = 1/3πr²h
π is very common so it could be cancelled, so the equation now becomes
R²H = 1/3r²h
3R²H = r²h
Now substitute for the values
h = 3 x 2² x 3
--------------
3²
= 9 x 4/9
= 4in.
Therefore, the height of the cone
h = 4in.
Answer:
x=8
RPS = 36
Step-by-step explanation:
QPS = 180
The two angles that form QPS
QPR + RPS = 180
7x+88 + 3x+12 = 180
Combine like terms
10x+100 =180
Subtract 100 from each side
10x = 180-100
10x = 80
Divide by 10
x =80/10
x = 8
RPS = 3x+12
= 3(8)+12
24+12
36
The factors of the quadratic equation are (x+3) and (x-15).
<h2 /><h2>Given to us</h2>
<h3>To find</h3>
The factors of
.
<h3 /><h3>Solution</h3>

As we can see in the quadratic equation the value of ac is -45x². therefore, we need to divide -12x into two parts such that their sum must give -12x and their product gives us -45x².
therefore, dividing -12x into -15x and 3x,

Taking common out,

Hence, the factors of the quadratic equation are (x+3) and (x-15).
Learn more about quadratic equations:
brainly.com/question/2263981
Answer:
Option D)Neither solution is extraneous.
Step-by-step explanation:
we have

we know that
two possible solutions are x=-7 and x=1
<u><em>Verify each solution</em></u>
Substitute each value of x in the expression above and interpret the results
1) For x=-7


----> is true
therefore
x=-7 is not a an extraneous solution
2) For x=1


----> is true
therefore
x=1 is not a an extraneous solution
therefore
Neither solution is extraneous
Answer:
5
r
o
2
t
Step-by-step explanation:
(√3+√7)²
We know ,[(a+b)²=a²+2ab+b²]
=>(√3+√7)²=(√3)²+2(√3)(√7)+(√7)²
=>(√3+√7)²=3+2√21+7
=>(√3+√7)²=10+2√21