The length of a rectangle is twice the width. The area is 338 yd. Find the length and the width.


Answers

Answer 1
The width is 13 and the length is 26.

Explanation:

Area of rectangle = length x width

Let x be the width of the rectangle and 2x be the length of the rectangle.

2x * x= 338

2x² = 338

x² = 338/2

x² = 169

x² - 169 = 0

(x)² - (13)² = 0

(x-13)(x+13) = 0

x - 13 = 0 or x + 13 = 0
x = 13 or -13

-13 is rejected, as length or width cannot be negative.

Ans:The width is 13 and the length is 2 x 13 = 26.



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If figure ABCD is a rhombus, the value of x is 3

How to determine the value

It is important to note the properties of a rhombus, they include;

All of the sides of a rhombus are congruentOpposite sides are said to be parallelThe opposite angles are equalThe diagonals of a rhombus bisect each other at right angles, that is, 90 degreesThe diagonals bisect the angles of a rhombusThe sum of two adjacent angles are supplementary, that is, they sum up to 180 degrees

Based on the information given, we have the angles are;

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A mechanical engineer is creating a new composite carbon fiber material made from two different materials. The strength of the carbon fiber material depends on how much pressure it can withstand, and it follows a standard normal distribution. The new carbon fiber material will be slated for research and development purposes if it can withstand more than 2.15 standard deviations above the mean of pressure compared to the individual materials. Fiber material that withstand less than 2.15 standard deviations above the mean of pressure when compared to the individual materials are not of research interest. What is the probability that the carbon fiber composite material can withstand pressure less than 2.15 standard deviations above the mean when compared to the individual materials

Answers

Answer:

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Step-by-step explanation:

When the distribution is normal, we use the z-score formula.

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Step-by-step explanation:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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Answers

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