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lisabon 2012 [21]
3 years ago
15

The perimeter of rectangle is 48 cm. Find the sides of the rectangle if one of the sides is 12 cm longer than the other.

Mathematics
2 answers:
svlad2 [7]3 years ago
7 0

Answer:

The length is 18 Cm

The Width Is 6 Cm

Step-by-step explanation:

Write an equation

so perimeter is

2L+2W=P

In this case the perimeter is 48 and one side is 12 cm longer so let’s make the unknown side W, and L as 12+w since the longer side is 12cm longer then the unknown side.

Equation:

2(12+W)+2W=48

Combine like terms and solve the equation

24+4W=48 (I distributed then combined like terms)

Subtract 24 on both sides

4W=24

Isolate the variable by dividing 4 on both sides

W=6

Check:

2(12+6)+2(6)=48?

24+12+12=48✔️

natima [27]3 years ago
3 0
L=W+12
2L+2W=48
2(W+12)+2W=48
2W+24+2W=48
4W=48-24
4W=24
W=24/4
W=6 ANS. FOR THE WIDTH.
L=6+12=18 ANS. FOR THE LENGTH.
PROOF:
2*18+2*6=48
36+12=48
48=48

Hope this helps:)
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LuckyWell [14K]

Answer:

A sample of 16577 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

99% confidence level

So \alpha = 0.01, z is the value of Z that has a p-value of 1 - \frac{0.01}{2} = 0.995, so Z = 2.575.

She wants to estimate the proportion using a 99% confidence interval with a margin of error of at most 0.01. How large a sample size would be required?

We have no estimation for the proportion, and thus we use \pi = 0.5, which is when the largest sample size will be needed.

The sample size is n for which M = 0.01. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.01 = 2.575\sqrt{\frac{0.5*0.5}{n}}

0.01\sqrt{n} = 2.575*0.5

\sqrt{n} = \frac{2.575*0.5}{0.01}

(\sqrt{n})^2 = (\frac{2.575*0.5}{0.01})^2

n = 16576.6

Rounding up:

A sample of 16577 is required.

8 0
3 years ago
14 more than 5 times a number is equal to 20. find the number
GuDViN [60]

Answer:

6/5

Step-by-step explanation:

5x + 14 = 20

Subtract 14 from 20

5x = 6

Divide both sides by 5

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4 0
3 years ago
How many 1/8 portions are in 3/4
Zigmanuir [339]
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5 0
3 years ago
Jason has $800 more than Paul. Alex has $150 less than Jason. How much more does Alex have than Paul?
jolli1 [7]

Hey there!!

Jason = 800 + Paul

Alex = Jason - 150

How much more does Alex have the Paul?

Let's take the equation of Alex

... Alex = Jason - 150

... Add 150 on both sides

... Alex + 150 = Jason

Now we have the equation for Jason,

... Jason = 800 + Paul , and we got Alex + 150 = Jason

... Now let's plug in the values

... Alex + 150 = 800 + Paul

Subtract 150 on both sides...

Alex = 800 - 150 + Paul

... Alex = 650 + Paul

Now we got the answer for our question :

The answer - Alex has $650 than Paul.

Hope my answer helps!!


4 0
3 years ago
4x + 1 = 2x - 5<br> show all steps
konstantin123 [22]

How to solve your question

Your question is

4

+

1

=

2

−

5

4x+1=2x-5

4x+1=2x−5

Solve

1

Subtract  

1

1

1

from both sides of the equation

2

Simplify

3

Subtract  

2

2x

2x

from both sides of the equation

4

Simplify

5

Divide both sides of the equation by the same term

6

Simplify

Solution

=

−

3

3 0
3 years ago
Read 2 more answers
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