Y=-2x-7
Y=mx+b where m is the slope and b is the y-intercept
Answer:
h = 9 ft
Step-by-step explanation:
Assume the diagram is like the one below.
∆ABD is a right triangle.
We can use Pythagoras' Theorem to find the height h.
Answer:
The circle's circumference is 6.28 m.
Step-by-step explanation:
We have,
The circle has a radius of 1 meter.
It is required to find the circumference of the circle. The formula of the circumference of circle is given by :
r is radius
So, the circle's circumference is 6.28 m.
Answer:
5/14
Step-by-step explanation:
4/7 x 5/8 = 20 /56
Then divide by 4
20/56 x 4/4 = 5 /14
<span>The area of the base is x^2> The height is h. Each side of the box has area xh. There are 4 sides of the box so the total surface area of the box is x^2+4xh and that is equal to 1000. Solve that equation for h:
x^2+4xh = 1000 h = (1000-x^2)/4x so the Volume = x^2[(1000-x^2)/4x]
Simplify and get V = 250x-x^3/4
The volume will be a maximum when its first derivative is 0.
V' = 250-3/4x^2
Set to 0 and solve. x=18.26
Now plug into the volume function to find the maximum volume:
V=250(18.26)-(18.26)^3/4
V= 4564.35 - 1522.10 =3042.25</span>
