Hey there :)
We know the volume formula of a triangular prism
Volume = base area × height of prism
We are given:
Base of triangle = 5 ft
Height of triangle = 3 ft
Height of prism = 7.5 ft
Apply the formula
V =
( 5 )( 3 ) × 7.5
= 7.5 × 7.5
= 56.24 ft³
Answer: C
Step-by-step explanation:
You can solve this by first multiplying both sides of the fraction by the conjugate of the denominator.
In this case, the conjugate is (8 - 2i).
So:
Simplify:
Simplify again, knowing that i^2 = -1
Then, divide both numbers in the numerator by 68 to get your answer.
Answer:
Step-by-step explanation:
Ur answer should be B
Answer:
the tree will be 11.04 feet tall
Step-by-step explanation:
4 x 0.22 (22%) = 0.88
every year it grows 0.88 foot.
0.88 x 8 = 7.04
4 + 7.04 = 11.04 feet tall
sorry if this is wrong!
Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
