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Otrada [13]
2 years ago
14

Building sheep pens : darsh and darpan are fencing off a large rectangular area to build some temporary holding pens. to prep th

e males, females, and kids, they are separated into three smaller and equal-size pens partitioned page 30 sample paper 24 cbse maths basic x click here to purchase hard books of cbse online sample papers. 20 sample paper in each subject and rs 500/- for 4 subjects click here download india’s best study app having pdfs of all sample paper and question bank within the large rectangle. (i) if 384 ft of fencing is available and the maximum area is desired, what will be the dimensions of the larger, outer rectangle? (ii) what will be the dimensions of the smaller holding pens?
SAT
1 answer:
Artemon [7]2 years ago
5 0

Since a maximum area is desired, the dimensions of the larger, outer rectangle would be equal to 96 ft and 96 ft.

<h3>How to calculate the area of a rectangle?</h3>

Mathematically, the area of a rectangle is calculated by using this formula:

A = LW

<u>Where:</u>

  • L is the length.
  • W is the width.
  • A is the area.

Since the perimeter shouldn't be larger than the available fencing, we have:

384 = 2L + 2W

2W = 384 - 2L

W = 192 - L

Now, the area becomes:

A = L × (192 - L)

A = 192L - L²

By using completing the square to find the roots, we have:

A = 192L - L²

0 = 192L - L² + 96² - 96²

0 = 96² - (L² - 192L + 96²)

0 = 9216 - (L - 96)²

L = 96 ft.

W = 192 - 96

W = 96 ft.

<h3>The dimensions of the smaller holding pens.</h3>

For the width of the smaller holding pens, we have:

Width = 96/3

Width = 31 ft.

However, the length of the smaller holding pens would remain the same as 96 feet.

Read more on rectangle here: brainly.com/question/25292087

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one part of paint thinner is used to create 5 parts of paint mixture a painter has 12 ounces of paint how many ounces of thinner
Law Incorporation [45]

Answer:

In order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of paint thinner

Explanation:

The given parameters are;

The number of parts of thinner used to create 5 parts of paint mixture = 1 part

The amount of paint the painter has = 12 ounces

The amount of thinner is given by the relation;

Ratio of thinner to paint mixture = 1:5

Which gives, 1 part of thinner is required for 5 parts of paint mixture

1/5 parts of thinner is required for 1 part of paint mixture

Therefore, 12/5 or 2.4 parts of thinner will be required for 12 parts of paint mixture

Which gives;

2.4 ounces of thinner will be required for 12 ounces of paint mixture

Therefore, in order to use all the paint in a paint mixture in the same ratio of 1:5, the painter needs 2.4 ounces of thinner.

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4 years ago
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mariarad [96]
Using your limbs ex: arms & legs, breathing
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Which of the following types of graphs would be appropriate for data about a single variable?.
Likurg_2 [28]

The required graph for a single variable is a linear graph or time series graph

<h3>Single variable graph</h3>

A single variable graph is a graph having an input and one output.


For instance, the equation of a line y = mx + b is a single variable graph.

Hence the type of data for a single variable graph will give a linear function. Therefore the required graph for a single variable is a linear graph or time series graph

Learn more on single variable graph here: brainly.com/question/14521625

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Which of the following is true about hypnosis?
hram777 [196]

It is true people will do anything under hypnosis. Option A is correct

<h3>What is hypnosis?</h3>

This is a condition when an individual action and in-action cannot be controlled by himself.

The person begin to act under a strong influence as he or she is bid. Also, the individual is not conscious of his environment or actions but rather act irrationally that is why it is very easy to do things that are unsual and such that an individual may not do ordinarily under hypnosis.

Hypnosis is usually done by therapist through constant repetition of certain words and it makes the individual calm this is because it deals with mental health.

Therefore

It is true people will do anything under hypnosis.

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