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Dima020 [189]
3 years ago
14

A private shipping company will accept a box for domestic shipment only if the sum of its length and girth​ (distance around) do

es not exceed 108 inches. Suppose you want to mail a box with square sides so that its dimensions are h by h by w and its girth is 2 h plus 2 w. What dimensions will give the box its largest​ volume?

Mathematics
1 answer:
aivan3 [116]3 years ago
5 0

Answer:

18×18×36

Step-by-step explanation:

According to the Question

108≥ 4h + w

Volume V is given by

V = wh^2

⇒V= (108-4h)h^2

⇒V= 108h^2 - 4h^3

Now differentiating and keeping = 0 we get

V' = 216h - 12h^2 = 0

h = 216/12 = 18

w = 108 - 4×18 = 36

V = 36×18^2 = 11664 from a box of 18×18×36.

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A ball is dropped from a height of 30 feet and each time it hits the ground it bounces 0.75 of the previous height. What is the
dimulka [17.4K]

30 x 0.75 = 22.5 .............(1st)

22.5 x 0.75 = 16.875 ......(2nd)

16.875 x 0.75 = 12.66 ....(3rd)

ANSWER: C) 12.66

8 0
3 years ago
What is "k" ? 20k+4+33k-9
kifflom [539]
I think it is -45
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7 0
3 years ago
A box of baseball cards is $25.00 with %15 off. What is the sale price of the box of cards? In other words, how much is it after
yan [13]

Answer:

21.25

Step-by-step explanation:

you would multiply 25 by 0.15 to get the percent being taken off then subtract that from your original price

8 0
3 years ago
I’ll give you brainliest for the first person with an answer
raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving <u>162mm^2</u>

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving <u>162mm^2</u>

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get <u>108mm^2</u>.

Area of the rectangle: lw, so 15mm * 9mm = <u>135mm^2</u>

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, <u>378mm^2</u>

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, <u>162mm^2 </u>

Area of the rectangle at the very bottom = lw, 21mm * 9mm = <u>189mm^2</u>

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

<u />

4 0
2 years ago
The cost for 7 dance lessons is 82$. The cost for 11 lessons is 122$. Write and solve an equation to find the cost of 4 lessons
Juliette [100K]

Answer:

$52

Step-by-step explanation:

Using the equation

y=mx+c

82=7x+c

122=11x+c

11x-7x=122-82

4x=40

x=10

To get c

82=7(10)+c

82-70=c

c=12

For 4 lessons

y=10(4)+12=52

6 0
3 years ago
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