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:
12
Step-by-step explanation:
to make 1 cup with 1/4 cup you need to put 4.
therefore;
number of 1/4 cups needed = 3x4=12
Answer:
f(x) is y so the x=16 because 4*4=16
Answer:
700
Step-by-step explanation:
The 9 = 9
The 0 = 0
The 7 = 700
The 5 = 5000
Easy
first term is n=1
so 10th term is n=10
5(10)+100=50+100=150
150 is 10th term
