Given:
side lengths of right triangles = 12 cm ; 16 cm ; 20 cm
lateral area = 192 cm²
lateral area of a triangular prism = perimeter * height
192 cm² = (12 cm + 16 cm + 20 cm) * height
192 cm² = 48 cm * height
192 cm² / 48 cm = height
4 cm = height
The height of the pedestal in the shape of a triangular prism is 4 cm.
Answer:
{(0, 0), (1, 2), (2, 4), (3, 4)
Step-by-step explanation:
the x in the ordered pair is not suppose to repeat, clearly this doesn't
Answer:
The last answer; 12.
Step-by-step explanation:
In order to solve this, use substitution. Since it gives you an equation for y, substitute that equation in the other formula as y. This will give you:
Then simplify:
Since 6x - 6x cancels out, you are left with 12.
Answer:
rational
Step-by-step explanation:
First, let's start off by simplifying as much as possible before factoring.
5d^2 - 50d + 125
We can divide all the numbers by 5 in order to simplify it:
5(d^2 - 10d + 25)
Now all we need to do is factor.
Since -5*-5 = 25 and -5 - 5 = -10, we can use this to factor:
5(d - 5)(d - 5)
Or
5(d - 5)^2
