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goldfiish [28.3K]
3 years ago
12

The length of a rectangle is five times its width. if the perimeter of the rectangle is 96 m , find its area.

Mathematics
1 answer:
GuDViN [60]3 years ago
6 0
The length of a rectangle is five times its width. if the perimeter of the rectangle is 96 m , find its area.

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The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p). If the volume of a gas i
andre [41]
The answer is 12.8 cm³

<span>The volume ( v) of a gas in a container at a constant temperature varies inversely as the pressure (p):
v = k/p
p * v = k  (k - constant)

p1v1 = k
p2v2 = k
So, p1v1 = p2v2

v1 = 24 cm</span>³
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v2 = ?
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24 * 16 = x * 30
384 = x * 30
x = 384 / 30
x = 12.8 cm³
3 0
3 years ago
Which of the following is the line of symmetry for the figure shown below?
user100 [1]

Answer:

C. Line A

Step-by-step explanation:

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3 years ago
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A researchers wants to determine the mean weight of avocados grown in Southern California. The population from which the sample
natka813 [3]

Answer: (0.465, 5.535)

Step-by-step explanation:

Formula to calculate the confidence interval (<em>when population standard deviation is unknown</em>) is given by :-

\overline{x}\pm t_{\alpha/2} \dfrac{s}{\sqrt{n}}

, where \overline{x} = sample mean.

s= sample standard deviation.

n= Sample size.

t_{\alpha/2} = critical value

By considering the given information , we have

\overline{x}=6

s=0.75

n= 9

Significance level = \alpha=0.1   [1-0.90=0.1]

By using students' t distribution -table , the critical value for 95% confidence level :

t_{\alpha/2 , n-1}=t_{0.1/2,\ 8}=1.86

[Note: degree of freedom = n-1]

Now, the 90% confidence interval for the true mean weight of these Southern California avocados will be :

6\pm (1.86) \dfrac{0.75}{\sqrt{9}}

6\pm (1.86) \dfrac{0.75}{3}

6\pm (1.86) 0.25

6\pm 0.465=(6-0.465,\ 6+0.465)=(0.465,\ 5.535)

Hence, the required confidence interval  =(0.465, 5.535)

4 0
3 years ago
I need help ASAP, all help is appreciated
navik [9.2K]

Answer:

55 degrees

Step-by-step explanation:

Looking you can see these two angles are parallel. Knowing that, since angle GHE is 55 DEC must be 55 also.

- Hope that helps! Please let me know if you need further explanation.

6 0
3 years ago
15 tickets cost $193.75 what is the average cost of each ticket
lubasha [3.4K]
193.75 divided by 15 is 12.9166, so about $12.92 per ticket
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