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alexgriva [62]
3 years ago
14

The length of a rectangle is 10cm longer than its breadth the perimeter is 48cm determine the area of the rectangle​

Mathematics
2 answers:
vodka [1.7K]3 years ago
8 0

Answer:

119 cm^2.

Step-by-step explanation:

Perimeter = 2(L + W)       where L = length and W = the width.

L = W+10 (given).

So substituting the given values:

48 = 2(L + W)

48 = 2(W+10 + W)

2(2W + 10) = 48

2W + 10 = 48/2 = 24

2W = 24 - 10 = 14

W = 7 cm.

So L = 17 cm.

Area = 7 * 17

= 119 cm^2.

damaskus [11]3 years ago
5 0

Answer:

djdjkffk Friesland whether

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In an insect colony there are 270 insects after 9 days. If there were initially 80 insects how long will it take the population
Semenov [28]

Answer:

The time it will take the population to grow to 800 insects is 17 days.

Step-by-step explanation:

The growth function of the insects is exponential.

The exponential growth function is:

y=a(1+r)^{t}

Here,

<em>y</em> = final value

<em>a</em> = initial value

<em>r</em> = growth rate

<em>t</em> = time taken

It is provided that there were 270 insects after 9 days and initially there were 80 insects.

Compute the value of <em>r</em> as follows:

y=a(1+r)^{t}\\\\270=80(1+r)^{9}\\\\3.375=(1+r)^{9}\\\\\ln(3.375)=9\cdot \ln(1+r)\\\\0.135155=\ln(1+r)\\\\1+r=1.14471\\\\r=0.145

Now, compute the time it will take the population to grow to 800 insects as follows:

800=80(1+0.145)^{t}\\\\10=(1.145)^{t}\\\\\ln(10)=t\cdot \ln(1.145)\\\\t=17.00522\\\\t\approx 17

Thus, the time it will take the population to grow to 800 insects is 17 days.

7 0
3 years ago
Mehvish buys 1/2 kg carrots, 3 kg potatoes, 2 kg onions and 1 1/2kg of chicken.
ozzi

Answer:

The amount of change will be £7.99

Step-by-step explanation:

Here, we want to calculate the amount of change that Mehvish should get

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since £1 is 100 p

1.5 * 6 = £9 (9 * 100 p = 900p)

since £1 is 100 p

£20 will be;

20 * 100 = 2,000 p

So let us make the subtraction as follows;

2,000- 900 - 84-192 - 25 = 799 p

In pounds, this is divided by 100

we have this as 799/100 = £7.99

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