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:
It would end at 9:38
Step-by-step explanation:
but obviously it is not one of the answer choices, so I would go with 9:42
Answer:
30 and 36
Step-by-step explanation:
six times two equals 12
6 * 3 = 18
and six times four equals 24.
to get the next two multiples, You need to multiply 6 by 5, and then 6
6 * 5 = 30 and 6 * 6 = 36
The measurement of the largest square tile is 4 ft. by 4 ft.
You would need 6 of these tiles to fill the room.
