Answer:
A
Step-by-step explanation:
In order to begin we must start off with the formula for the area of a triangle, which is a=1/2b(h) where a is area, b is base, and h is height.
In this scenario, we know that the area is 45cm^2 and the base is 2h+12 (since it is twice it’s height plus twelve). We can plug this into the area equation and then proceed to solve out accordingly.
a=1/2b(h)
45=1/2(2h+12)(h)
90=(2h+12)(h)
90=2h^2 + 12h
0= 2h^2 + 12h - 90
Simplify by dividing the two out.
h^2 + 6h - 45 = 0.
Now plug into the quadratic formula (with a=1, b=6, and c=-45) as shown in the image below.
After plugging the equation in and solving, we come to the idea that h is roughly equal to 4.34. We can now plug this back into the triangle area formula to solve out for b.
a=1/2b(h)
45=1/2(2h + 12)(h)
45=1/2(20.69)(4.34)
45=45.
In conclusion;
The height is ≈ 4.34
The base is ≈ 8.68
Hope this helps :)
Answer:
94
Step-by-step explanation:
the sum of the angles in a triangle add up to equal 180
180-73-13=94
Answer:
160 ft squared
Step-by-step explanation:
I don't have one it's a pretty easy question
First, I would solve the second parenthesis.
(4xy^3)^2
Distribute
(4^2 x^2 y^6)
4 x 4 = 16
Now, combine like terms
3x^2 x 4x^2 = 12x^4
y^2 x y^6 = y^12
So, the answer would be 12x^4 y^12
Hmm actually I'm not sure. I did this about two years ago so I don't really remember sorry if this is really wrong
