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.
10/3: 3.33
5/2:2.50
3.33-2.50=0.83
Answer: 83 cents.
Answer:
x = - 5, x = - 2
Step-by-step explanation:
Given
f(x) = x² + 7x + 10
To find the x- intercepts let f(x) = 0, that is
x² + 7x + 10 = 0 ← in standard form
(x + 2)(x + 5) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 2 = 0 ⇒ x = - 2
x + 5 = 0 ⇒ x = - 5
The x- intercepts are (- 5, 0) and (- 2, 0 )
Answer:
x = 1
Step-by-step explanation:
It is given that,
∠A and ∠B are vertical angles.
∠A = (5x – 4) and ∠B = (2x – 1)
We need to find the value of x.
We know that, the vertical angles are equal. So,
∠A=∠B
(5x – 4)=(2x – 1)
Taking like terms together,
5x-2x = 4-1
3x=3
x = 1
So, the value of x is equal to 1.
Answer:
Yes
Step-by-step explanation:
