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lora16 [44]
2 years ago
10

A rectangle has a height of w^2+3w+9w 2 +3w+9w, squared, plus, 3, w, plus, 9 and a width of w^2+2w 2 +2w, squared, plus, 2. Expr

ess the area of the entire rectangle.
Mathematics
1 answer:
Keith_Richards [23]2 years ago
4 0

Answer:

w⁴+5w³+17w²+24w +18

Step-by-step explanation:

Area of a rectangle = length * width

Given

Length  = w²+3w+9

width = w²+2w+2

Area of the rectangle = (w²+3w+9)(w²+2w+2)

Area of the rectangle = w²(w²) + 2w(w²) + 2w² + 3w(w²) + 3w(2w) + 2(3w)+9w²+9(2w)+9(2)

Area of the rectangle = w^4+2w^3+2w²+3w^3+6w^2+6w+9w²+18w+18

Collect the like terms;

Area of the rectangle = w^4+2w^3+3w^3+2w²+6w²+9w²+6w+18w+18

Area of the rectangle = w⁴+5w³+17w²+24w +18

Hence the area of the entire triangle is w⁴+5w³+17w²+24w +18

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5 0
2 years ago
An arena receives $1,700 per event for 12 concerts. If the costs for this sponsorship total $14,000, what is the profit margin f
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Answer:

total profit margin for all 12 concert is $6,400.

profit margin for all one concert is  $533.33

Step-by-step explanation:

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Total money received for 12 event = Amount of money received for one event * Total no of concert

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Profit margin is the difference money invested and money earned.

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Total money earned is  $20,400

Therefore profit margin = money earned - total investment

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Therefore total profit margin for all 12 concert is $6,400.

However to calculate profit margin for one concert we can simply divide the total profit margin for all 12 concert by no of concert (i.e 12)

profit margin for one concert = total profit margin for all 12 concert/total no of concert  = $6,400/12 = $533.33

profit margin for all one concert is  $533.33

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the mean length of 7 books is 258 pages . the longest book has 294 pages. what is the mean length of the other 6 books
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I think you divide.. find the mean of all of the numbers?
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Step-by-step explanation:

solution is found below

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6 0
2 years ago
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