3 years ago

Find each difference. If you get stuck, consider drawing a number line diagram.

Mathematics

1 answer:

lara [203]3 years ago

8 0

1)5
2)-5
3) 13
4)-5
5)-13
6)13
7)5
8)-13

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Convert the degree measurement to radians. Express answer as multiple of π: - 60°

elixir [45]

Answer:

-pi/3

Step-by-step explanation:

To convert from degree to radians, multiply by pi/180

-60 * pi/180 = -60/180 *pi = -pi/3

8 0

3 years ago

Read 2 more answers

Nicholas put 1,012 baseball cards into boxes. He put 22 cards in each box. How many boxes did Nicholas need for these baseball c

valentina_108 [34]

Answer:

46 boxes

Step-by-step explanation:

1012 / 22 = 46

3 0

2 years ago

According to u.s. postal regulations, the girth plus the length of a parcel sent by mail may not exceed 108 inches, where by "gi

Pepsi [2]

Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6

a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³

b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long