Answer:
B.)The volume of the triangular prism is not equal to the volume of the cylinder.
Step-by-step explanation:
Let A be the cross-sectional area of both congruent right triangular prism and right cylinder.
Since the prism has height 2 units, its volume V₁ = 2A.
Since the cylinder has height 6 units, its volume is V₂ = 6A
Dividing V₁/V₂ = 2A/6A =1/3
V₁ = V₂/3.
The volume of the prism is one-third the volume of the cylinder.
So, since the volume of the prism is neither double nor half of the volume of the cylinder nor is it equal to the volume of the cylinder, B is the correct answer.
So, the volume of the triangular prism is not equal to the volume of the cylinder.
Answer:
The factors of given expression are 10+10√2 and 10-10√2.
Step-by-step explanation:
We have given a quadratic expression.
s²-20s-100
We have to find factors of given expression.
We use quadratic formula to find factors.
x = (-b±√b²-4ac) / 2a
From given expression, a = 1 , b = -20 and c = -100
Putting values in above formula, we have
x = (-(-20)±√(-20)²-4(1)(-100) ) / 2(1)
x = (20±√400+400 ) / 2
x = (20±√800) / 2
x = (20± √400×2) / 2
x = (20±20√2) / 2
x = 10±10√2
Hence, the factors of given expression are 10+10√2 and 10-10√2.
(x+5)*7=133
7x+35=133
7x=98
x=98/7
x=14
Answer:
5 81/100
Step-by-step explanation:
