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Tju [1.3M]
3 years ago
12

The length of a rectangle is 9 less than 4 less than the width. The perimeter is 143. Find the width and length.

Mathematics
1 answer:
damaskus [11]3 years ago
6 0

The formula for perimeter is 2l+2w. Since we know l=(w-4)-9, we can substitute this into the formula.

l=w-13

2(w-13)+2w=143

2w-26+2w=143

4w=169

w=42.25 units

Hope this helps!

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<h2>Diameter of a Circle</h2>

There are multiple strategies we can use to find the diameter of a circle. For this question, we must calculate the length of the radius first and multiply by 2 to find the diameter.

<h2>Solving the Question</h2>

We're given the centre and a point on the circumference: (-2,1),(6,7).

Find the distance between them using the distance equation:

d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}

Plug in the given points:

d=\sqrt{(-2-x_1)^2+(1-y_1)^2}\\d=\sqrt{(-2-6)^2+(1-7)^2}\\d=\sqrt{(-8)^2+(-6)^2}\\d=\sqrt{64+36}\\d=\sqrt{100}\\d=10

Therefore, the radius of the circle is 10 units.

Multiply the radius by 2 to find the length of the diameter:

10 × 2

= 20

Therefore, the length of the diameter is 20 units.

<h2>Answer</h2>

20 units

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Answer:

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Maurinko [17]

Answer:

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Step-by-step explanation:

The multiplication principle states that If a first experiment can happen in n1 ways, then a second experiment can happen in n2 ways ... and finally a i-experiment can happen in ni ways therefore the total ways in which the whole experiment can occur are

n1 x n2 x ... x ni

Also, given n-elements in which we want to put them in a row, the total ways to do this are n! that is n-factorial.

For example : We want to put 4 different objects in a row.

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Answer:

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