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mamaluj [8]
3 years ago
13

A jacket costing £30 increased in price by 10% and then by a further

Mathematics
1 answer:
belka [17]3 years ago
7 0
30*10%/100=3
30+3=33
33*15%/100=4.95
step by step explanation
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If x = 12 and y = 3, what is the value of the following expression?
Natasha_Volkova [10]

Answer:

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Step-by-step explanation:

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A 24-centimeter by 119-centimeter piece of cardboard is used to make an open-top box by removing a square from each corner of th
satela [25.4K]

Answer:

The size square removed from each corner = 32.15 cm²

Step-by-step explanation:

The volume of the box = Length * Breadth * Height

Let r be the size  removed from each corner

Note that at maximum volume, \frac{dV}{dr} = 0

The original length of the cardboard is 119 cm, if you remove a  size of r (This typically will be the height of the box)  from the corner, since there are two corners corresponding to the length of the box, the length of the box will be:

Length, L = 119 - 2r

Similarly for the breadth, B = 24 - 2r

And the height as stated earlier, H = r

Volume, V = L*B*H

V = (119-2r)(24-2r)r

V = r(2856 - 238r - 48r + 4r²)

V = 4r³ - 286r² + 2856r

At maximum volume dV/dr = 0

dV/dr = 12r² - 572r + 2856

12r² - 572r + 2856 = 0

By solving the quadratic equation above for the value of r:

r = 5.67 or 42

r cannot be 42 because the  size removed from the corner of the cardboard cannot be more than the width of the cardboard.

Note that the area of a square is r²

Therefore, the size square removed from each corner = 5.67² = 32.15 cm²

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3 years ago
1. The diameter equals
jonny [76]

Answer:

C) twice the radius

Step-by-step explanation:

the radius is half the diameter

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3 years ago
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