Answer:
Figures with the same size and shape are congruent.
Answer:
#3
Step-by-step explanation:
Answer:
They must buy 501 pounds of produce for the membership to be worth it.
Step-by-step explanation:
You can solve this question by first finding the difference between $0.10 and $0.25.
With some simple subtraction (0.25-0.10) we can find that the difference is that a non-membership person would pay $0.15 per pound.
You then divide 75 by 0.15 to find the extra weight it would take for the produce to equal $75. You should get 500 pounds.
At 500 pounds, the price would be equal if you had a membership or not.
You then must add 1 pound to make it more favorable to have the membership.
At 501 pounds the person with the membership would pay $125.10 and the person without the membership would pay $125.25
Answer:
16,242. 7 cm^3.
Step-by-step explanation:
We need to cut off a square piece at the 4 corners of the cardboard.
Let the length of their edges be x cm.
The volume of the box will be:
V = height * width * length
V = x(100-2x)(40-2x)
V = x(4000 - 200x - 80x + 4x^2)
V = x(4x^2 - 280x + 4000)
V = 4x^3 + - 280x^2 + 4000x
Finding the derivative:
dV / dx = 12x^2 - 560x + 4000 = 0 ( when V is a maxm or minm.)
4(3x^2 - 140x + 1000) = 0
x = 37.86, 8.80.
Looks like x = 8.80 is the right value but we can check this out be looking at the sign of the second derivative:
V" = 24x - 560, when x = 8.8 V" is negative so this is a Maximum for V.
So the maximum volume of the box is when x = 8.8 so we have
V = 8.8(100-2(8.8)(40 - 2(8.8)
= 16,242. 7 cm^3.
There is the table you just add 12+20the answer add 20 till you are done
