The prism with the pentagonal base's volume is 585 cm³.
Step-by-step explanation:
Step 1:
The prism has a pentagonal base.
The volume of a prism with a pentagonal base,
In the formula to determine the prism's volume, in the question, it is given that is equal to 45 cm².
Step 2:
So if we substitute in we get,
The value of h for the given prism is 13 cm, so
cm³.
The prism's volume is 585 cm³.
What does the variable m stand for?
PLEASE EXPLAIN HOW YOU GOT THIS ANSWER
Use the Factor Theorem to identify which binomial is a factor of p(x).
a.3x+5
b.2x+7
c.x−1
d.2x−7
Answer:
Option B, 2x + 7
Step-by-step explanation:
Step 1: Factor
p(x) = 6x^3 + 17x^2 − 24x − 35
p(x) = (x + 1)(3x - 5)(2x + 7)
Answer: Option B, 2x + 7
-4x + 5 - 5 > 29 - 5
-4x > -24
-4x/-4 > -24/-4
x > 6
What were his two mistakes?
Answer:
-4x > 24
x< 6
Step-by-step explanation:
-4x + 5 > 29
-4x + 5 - 5 > 29 - 5 (subtracted 5 on both sides)
To remove +5, Sam subtracted 5 on both sides. but 29-5 is 24
we always put the sign of greatest number . so its positive
-4x > 24 is correct
-4x/-4 > 24/-4
Dividing both sides by -4 is correct. But when we divide by negative number we need to flip the inequality sign . so > becomes <
x < 6