Answer:
35/40
Step-by-step explanation:
7/8, with the given denominator 40
So how do we get 8, to turn into 40?
Simple multiplication.
8x5 = 40, and whatever we multiply times the denominator, we multiply for the numerator.
So
7x5 = 35
The answer should be 35/40
The shadow to the top of the tree is 60 ft it all makes sense
Answer:
Formula of the slope of the line
m=(y2-y1)/(x2-x1)
y2= -1, y1 = 4
x2=5, x1 = -2
m=(-1-4)/(5-(-2)) = -5/7
Answer is D. slope = -5/7
Step-by-step explanation:
Simple interest:
Simple interest is simple. Each year, the interest is calculated as a percentage of the principal, as follows: Interest= (principal) x (rate) x (time).
Compound interest:
Compound interest<span> is calculated on the principal amount and also on the accumulated </span>interest <span>of previous periods.</span>
<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>
