<h3>
Answer: 90 cubic meters</h3>
Each triangle has a base of 10 and height of 3.6
area of triangle = 0.5*base*height = 0.5*10*3.6 = 18 square meters
multiply this with the height of the prism (5 meters) to get 18*5 = 90 cubic meters. I'm using the idea that,
volume of prism = (area of base face)*(height of prism)
The notation "m^3" is shorthand for "cubic meters"
We do not use the other dimensions of 9 m and 7 m.
Answer:
3(x + 2)(2x - 5)
Step-by-step explanation:
Given
6x² - 3x - 30 ← factor out 3 from each term
= 3(2x² - x - 10) ← factor the quadratic
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × - 10 = - 20 and sum = - 1
The factors are + 4 and - 5
Use these factors to split the x- term
2x² + 4x - 5x - 10 ( factor the first/second and third/fourth terms )
= 2x(x + 2) - 5(x + 2) ← factor out (x + 2) from each term
= (x + 2)(2x - 5), thus
2x² - x - 10 = (x + 2)(2x - 5) and
6x² - 3x - 30
= 3(x + 2)(2x - 5) ← in factored form
45-9=36/18=2 I hope this helps
Step-by-step explanation:
1. What the GCF
the GCF is 4
4(x + 8)
2. divide by 4
4(x+8) is the solution
