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Alex787 [66]
3 years ago
9

The perimeter of a rectangle is 30meter. If the length is twice the width, what is the width?

Mathematics
1 answer:
Nataly_w [17]3 years ago
3 0

Let the length of the rectangle be L and the width be W.

Given that the length is twice the width, Then :

L = 2W .....(1)

But we know that the perimeter is 36.

==> 2L + 2W = 36

==> 2L + L = 36

==> 3L = 36

==> L = 36/3 = 12

==> W = 12/2 = 6

Now we will calculate the area:

==> A = L * W = 12* 6 = 72 square feet.

<span>Then the area of the rectangle is 72 square feet.</span>

<span>I am 100% sure that that would be the answer!!</span>

<span>have fun!!1</span>

<span /> 

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=140

If, the two rays are parallel

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Your answer is 140

4 0
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H<br> nlaced inside a cylinder as shown. The radius of the cone is half the radius of the cylinder.
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umm what or we doing?

Step-by-step explanation:

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Please help! Correct answer only!
gulaghasi [49]

Answer:

<em>Probability ≈ 0.1071</em>

Step-by-step explanation:

Consider steps below;

Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\

Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6

Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps!

<em>Solution; Probability ≈ 0.1071</em>

5 0
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80 points! Look at pic attached. I will mark brainiest if you explain your reasoning good. Random answers will be reported.
gregori [183]

Answer: No, your friend is not correct. You cannot use a similarity transformation to turn a square into a rectangle. Here's why:

1) If you used a similarity transformation, the size and position of the shape would change, but the shape itself remains the same.

2) Squares and rectangles are NOT similar.* Referring to the first point I listed, if the shapes are not similar, then a similarity transformation cannot be used to turn one shape into another.

<em>*Similar means that the edges are proportional to one another, such as a square with sides of 4 meters vs a square with sides of 2 meters: the sides are different lengths, but the shape is the same.</em>

I hope this helps! Please feel free to comment below if you need any clarification. Have a good day, and good luck on your assignment. :)

7 0
3 years ago
What is the value of (7 + 2i)(3 - i)?
Harrizon [31]
There are two ways to work this out: normal variables or using "imaginary" numbers.

Normal variables:
(7+2i)(3-i)\\(7*3)+[7*(-i)]+(3*2i)+[2i*(-i)]\\21-7i+6i-2i^{2}\\\\21-i-2i^{2}

Imaginary numbers:
Using the result from earlier:
21-i-2i^{2}
Now since i = \sqrt{-1}, then the expression becomes:
21-i-2i^{2}\\21-i-2(\sqrt{-1})^{2}\\21-i+(-2)(-1)\\21-i+2\\\\23-i
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