Answer:
Erica needs 1/4 more gallons of paint.
Step-by-step explanation:
3 1/2 + 1 3/4 = 5 1/4
in order to get 5 1/4 to 5 1/2, you need to add another quarter.
So:
5 1/4 + 1/4 = 5 1/2
To solve this, we'd need an answer with a whole level, which means we'll multiply everything by 4. This would mean that 1/3 is also multiplied by 4, making 4/3. Which means a whole level is made in 4/3 hours or 1 1/3 hours.
Answer:
A = 54.8 - (1200/x) - 2x
Step-by-step explanation:
Given <em>x</em> the wide and <em>y</em> the height, we have
x*y = 50
⇒ y = 50/x
The area of the printed region is A = w*h
where
Wide: w = (x-2*1.2) = x-2.4
Height: h= (y-2*1) = y-2
then
A = (x-2.4)(y-2) = xy - 2.4y - 2x + 4.8 = 50 - 24*(50/x) - 2x + 4.8
⇒ A = 54.8 - (1200/x) - 2x
Both triangles area:
4.2 x 8.2 = 34.44
you don’t need to divide by two cause there’s two triangles anyways.
also, you get 8.2 by subtracting the total length by the top length. (13.5-5.3)
rectangle:
4.2 x 5.3 = 22.26
the total area is 56.7cm squared
Θ
=
arcsin
(
.7
4.2
)
≈
10
∘
Explanation:
We view the ramp as a right triangle. The hypotenuse is 4.2 and the vertical side .7, which is opposite the angle
θ
we seek.
sin
θ
=
.7
4.2
=
1
6
I'm going to finish the problem but I'll note if we were actually building the ramp we don't need to know the angle; this sine is sufficient.
θ
=
arcsin
(
1
6
)
θ
≈
10
∘
which I think is a pretty steep ramp for a wheelchair.
There will be another inverse sine that is the supplementary angle, around
170
∘
, but we can rule that out as a value for a ramp wedge angle.
