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3 years ago

The perimeter of a rectangular closet is 24 feet. The closet is 3 feet wide. How long is it?

Mathematics

2 answers:

Dima020 [189]3 years ago

7 0

Answer:

9 feet

Step-by-step explanation:

The perimeter of a rectangle is 2(l + w) = p, where l = length, w = width, and p = perimeter.

In this case, we're given the values of the width and perimeter: 2(l + 3) = 24

We can solve this equation algebraically!

Step 1: Distributive the 2 to the terms inside the parentheses.

$(2)(l) + (2)(3) = 24$
$2l + 6 = 24$

Step 2: Subtract 6 from both sides.

$2l + 6 - 6 = 24 - 6$
$2l = 18$

Step 3: Divide both sides by 2.

$2l/2 = 18/2$
$l = 9$

Therefore, the length is 9 feet.

Have a lovely rest of your day/night, and good luck with your assignments! ♡

mr_godi [17]3 years ago

7 0

Answer:

The closet is 9 feet long

Step-by-step explanation:

The perimeter of any rectangle is P = 2L + 2w

Givens

Perimeter = P = 24 feet

w = 3 feet

Object

What is the length?

Solution

P = 2L + 2w Substitute the givens into the formula

24 = 2L + 2*3 Combine

24 = 2L + 6 Subtract 6 from both sides

24-6 = 2L +6 - 6 Combine

18 = 2L Divide by 2

18/2 = 2L/2

L = 9

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Answer:

A sample size of 1380 should be obtained.

Step-by-step explanation:

Minimum sample size:

The minimum sample size is of:

$n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))$

In which z is the critical value, related to the confidence level, E is the desired margin of error, $p_1$ and $p_2$ are the proportions.

99% confidence level

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

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This means that $p_1 = 0.226, p_2 = 0.181$ .

Within 3 percentage points, minimum sample size:

This is n for which $E = 0.03$ . So

$n = (\frac{z}{E})^2(p_1(1-p_1) + p_2(1-p_2))$

$n = (\frac{1.96}{0.03})^2(0.226*0.774 + 0.181*0.819)$

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Rounding up:

A sample size of 1380 should be obtained.

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3 years ago

Concentrate and water are mixed to make juice. Which is the stronger

vladimir1956 [14]

Answer:

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So Mixture B is stronger, slightly.

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sergejj [24]

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502.644

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3 years ago

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ch4aika [34]

Answer:

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Step-by-step explanation:

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3 years ago

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timama [110]

Answer:

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v = u + at

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3 years ago