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marusya05 [52]
3 years ago
13

The perimeter of a rectangle is 48 m. The area of the rectangle is 128 square meters. Find the dimensions of the rectangle.

Mathematics
1 answer:
Andreas93 [3]3 years ago
3 0

Answer:

l = 16, w = 8

Step-by-step explanation:

Let l = length

Let w = width

Area = w * l

128 = w * l

w  = 128/l

Perimeter = 2w + 2l

48 = 2w + 2l

48 = 2(128/l) +2l

48 = 256/l +2l

Multiply everything by l

48l = 256 + 2l^2

l^2 + 128 = 24l

l^2 + 128 -24l = 0

(l-16)(l-8)= 0

L = 16

L = 8

If you try them out, and test it, l = 16 would work:

2(16) + 256/16 = 48

32 + 16 =48

16 * 128/16 = 128

16 * 8= 128

128 = 128

Since I'm not sure if you are in advanced math or not, I will do it simple with guess and check

Try w is

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DedPeter [7]

Answer:

Step-by-step explanation:

Total profit function is equal to Total revenue function minus Total Cost function.

To get both Revenue function and Cost function, integrate the Marginal functions as follows:

R(t) = 108.7312t^2

Where 80et = 217.4624t

(e =2.71828)

C(t) = 80t - 0.4t^2

P(t) = R(t) - C(t) = 109.1312t^2 - 80t

When t=0, P=0

When t=1, P=29.1312

When t=2, P=276.5248

When t=3, P=742.1808

And so on ...

Summing the daily profits, total profit for the 10 days is 37,615.512 dollars which equals 3,761551.2 cents

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Average daily profit for the first 10 days (in dollars) is 37,615.512÷10 = 3,761.5512 dollars

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3 0
3 years ago
Yvette uses 6 games of tea leaves to make 24
ruslelena [56]

Answer:

Therefore last week Yvette used 72 grams of tea leaves to make 288 ounces of tea.

Step-by-step explanation:

i) 6 grams of tea leaves are used to make 24 ounces of tea.

ii) 1 gram of tea leaves can be used to make  = \frac{24}{6} = 4\hspace{0.1cm}ounces\hspace{0.1cm}of\hspace{0.1cm}tea

iii)  number of grams of tea leaves to make 288 ounces of tea

  = \frac{288}{4} = 72\hspace{0.1cm}grams\hspace{0.1cm}of\hspace{0.1cm}tea\hspace{0.1cm}leaves

The answer is 72 grams of tea leaves are required to make 288 ounces of tea.

Therefore last week Yvette used 72 grams of tea leaves to make 288 ounces of tea.

8 0
3 years ago
Nine less than twice the height H
PIT_PIT [208]

Answer:

2h-9

Step-by-step explanation:

Twice the height of h would be 2H and 9 less from that would be 2h-9

Hope this helps :) Plz mark brainliest <3

4 0
3 years ago
Given the sequence 4, 20, 100, 500, ..., which expression shown would give the ninth term?
lisabon 2012 [21]

Answer:

4*5⁸

Step-by-step explanation:

4, 20, 100, 500, ...,

Given GP with first term of a= 4, and common ratio of r=5

nth term

  • aₙ= a*rⁿ⁻¹

9th term

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3 0
3 years ago
Help with all 4?:( please and thank you
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