Answer:
A) 24 ft³
Step-by-step explanation:
The area of the right triangle base is ...
A = (1/2)(3)(4) = 6 ft²
The volume of the triangular prism is the product of the area of its base (6 ft²) and its height (4 ft).
V = Bh = (6 ft²)(4 ft) = 24 ft³ . . . . matches choice A
_____
<em>Comment on the triangle</em>
You know the 3-4-5 triangle is a right triangle, because you have seen those numbers many times in relation to the Pythagorean theorem. If you don't know that, then you can check to see by using the Pythagorean theorem:
5² = 3² +4²
25 = 9 + 16 . . . . . true; so the triangle is a right triangle
In any event, there are other means for finding the area of the triangle based on the lengths of its sides. You will get the same area result.
Using Heron's formula, s = (a+b+c)/2 = (3+4+5)/2 = 6.
A = √(s(s -a)(s -b)(s -c)) = √(6(3)(2)(1)) = √36 = 6 . . . . area of base triangle
First number: x = 19
Second number: Y = -5
x + 2y = 9
2x + y = 33
Answer:
C
Step-by-step explanation:
Tell me if you need or want an explanation
Answer:
y = 120
Step-by-step explanation:
this is the formula
y = kx
now insert the numbers to find k
120 = k8
120/8
k = 15
now insert 15 into the equation where k was
y = 15 x 14
y = 210
remember to use SOH CAH TOA. THE SOLUTION THAT I GOT CAME OUT AS 15/8
