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3 years ago

The rectangle shown has a perimeter of 86 cm and the given area. Its length is 7 more than five times its width. Write and

Mathematics

1 answer:

Sati [7]3 years ago

3 0

Answer: the length of the rectangle is 37ft

the width of the rectangle is 6 ft

Step-by-step explanation:

Let L represent the length of the rectangle.

Let W represent the width of the rectangle.

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of the given rectangle is 86 feet. This means that

2(L + W) = 86

Dividing through by 2, it becomes

L + W = 43 - - - - - - - - - - - -1

Its length is 7 more than five times its width.. This means that

L = 5W + 7

Substituting L = 5W + 7 into equation 1, it becomes

5W + 7 + W = 43

6W + 7 = 43

6W = 43 - 7

6W = 36

W = 36/6

W = 6

L = 5W + 7 = 5 × 6 + 7

L = 37

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Answer:

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Step-by-step explanation:

Length of each adjacent side = 1 :3

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svlad2 [7]

Answer:

$t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$

Step-by-step explanation:

We have a sample of size n = 35, $\bar{x} = 92$ and $s = 5$ . As we want to construct a 95% confidence interval to estimate the value of the true population mean $\mu$ , we should use the pivotal quantity given by $T = \frac{\bar{X}-\mu}{S/\sqrt{n}}$ which comes from the t distribution with n - 1 = 35 - 1 = 34 degrees of freedom. Besides we should use the t-value $t_{\alpha/2} = t_{0.05/2} = t_{0.025} = 2.0322$ , i.e., regarding the t-distribution with 34 degrees of freedom, we have an area of 0.025 above 2.0322 and below the probability density function. The rationale behind this is that $P(-2.0322\leq T\leq 2.0322) = 0.95$ because of the simmetry of the t distribution.