Answer: 19t +100
Step-by-step explanation:
19t +100 where t is the number of hours she worked and the extra 100 dollars is the money she got from her friend.
Hey there ! please refer to the attachment .
I hope its help you !
Let the lengths of the bottom of the box be x and y, and let the length of the squares being cu be z, then
V = xyz . . . (1)
2z + x = 16 => x = 16 - 2z . . . (2)
2z + y = 30 => y = 30 - 2z . . . (3)
Putting (2) and (3) into (1) gives:
V = (16 - 2z)(30 - 2z)z = z(480 - 32z - 60z + 4z^2) = z(480 - 92z + 4z^2) = 480z - 92z^2 + 4z^3
For maximum volume, dV/dz = 0
dV/dz = 480 - 184z + 12z^2 = 0
3z^2 - 46z + 120 = 0
z = 3 1/3 inches
Therefore, for maximum volume, a square of length 3 1/3 (3.33) inches should be cut out from each corner of the cardboard.
The maximum volume is 725 25/27 (725.9) cubic inches.
Answer:
117.45 in^2
Step-by-step explanation:
Given data
Diameter of pizza= 10in
Radius of pizza=10/2= 5in
Lenght of pizza box= 14in
Area of pizza= πr^2
A= 3.142*5^2
A= 3.142*25
A= 78.55 in^2
Area of pizza box= L^2
A= 14^2
A= 196 in^2
Hence the empty space is
=196-78.55
=117.45 in^2
D. 16.8 units
A radius is half of the diameter, so to get the answer all you need to do is multiply the length of the given radius by 2.
8.4x2= 16.8