Answer:
acute
Step-by-step explanation:
obtuse is over 90°
acute I less that 90°
and right is exactly 90°
600 feet of tape because 4 +4 for two sides of the window is 8 and 3+ 3 is 6, 14 plus the foot of overlap is 15 x 40 is 600.
<span>The probability that all three children will be girls is 1/3 because 3 are about to be born</span>
Answer:
<h3>y = 35x</h3>
Step-by-step explanation:
If you notice, point 4 on the x-axis (horizontal) coincides with 140 on the y-axis.
If you multiply x * 35 = 140
x is four.
<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>