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timofeeve [1]
3 years ago
14

The short sides of a rectangle are 2 inches. The long sides of the same rectangle are three less than a certain number of inches

. Suppose that you are given the value of the unknown number. Verbally describe two methods for finding the area of this rectangle. Use complete sentences in your answer.
Mathematics
1 answer:
Hitman42 [59]3 years ago
5 0
X= "a certain number of inches"

side a= x-3
side b= 2 inches

multiply:
Area= a(b)
A= (x-3)2
A= 2(x-3)

distribute:
A= 2(x-3)
A= (2*x) + (2*-3)
A= 2x-6


Area= 2(x-3)
Area= 2x-6

Verbal Answers: The area of the rectangle is equal to the multiple of its two sides this is equal to two inches times an expression three less than a certain number "x"<span>. Using the distributive property, we can solve this expression further to find that the area of this rectangle is also equal to six less than doubling a certain number x</span>.

Hope this helped! :)
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Step-by-step explanation:

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The length of a rectangle is 5 centimeters less then twice it's width. The perimeter of the rectangle is 26 cm. What are the dim
Sedaia [141]

Answer:

The dimensions of the rectangle are length = 7cm and width = 6cm.

Step-by-step explanation:

In order to solve for the dimensions, you will need to set up two equations in order to solve for the missing variable.  Given the information that the length is 5 cm less then twice it's width, using 'L' for length and 'w' for width we get the following equation:  L = 2w - 5.  Perimeter is the sum of all the sides, or in the case of a rectangle P = 2w + 2L.  We can then use our expression for 'L' in our perimeter formula:  26 = 2w + 2(2w - 5).  First, using the distributive property we get: 26 = 2w + 4w - 10.  Next, we combine like terms:  26 = 6w - 10.  Then, we use inverse operations to isolate the variable:  26 + 10 = 6w - 10 + 10 to get 36 = 6w, divide both sides by 6 to get w = 6.  Lastly, plug in the value of 'w' to 'L':  L = 2(6) - 5 or L = 7.

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3 years ago
The amount of time it takes Renee to go grocery shopping is continuous and uniformly distributed between 18.5 minutes and 40.5 m
balandron [24]

Answer:

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

Step-by-step explanation:

An uniform probability is a case of probability in which each outcome is equally as likely.

For this situation, we have a lower limit of the distribution that we call a and an upper limit that we call b.

The probability that we find a value X lower than x is given by the following formula.

P(X \leq x) = \frac{x - a}{b-a}

Uniformly distributed between 18.5 minutes and 40.5 minutes.

This means that a = 18.5, b = 40.5

What is the probability that it takes Renee at most 29 minutes to go grocery shopping

P(X \leq 29) = \frac{29 - 18.5}{40.5 - 18.5} = 0.4773

47.73% probability that it takes Renee at most 29 minutes to go grocery shopping

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2 years ago
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zysi [14]

Answer:

I believe the answer will be 63 degrees not 100% sure tho

Step-by-step explanation:

The reason is because triangle FHE measures 27 degrees it looks like FHE is a right triangle so there needs to be a total of 90 degrees in a right triangle so 90-27=63 like I said not 100% correct

7 0
3 years ago
Write a situation that could be represented by the algebraic expression 3a + 2.15.
nordsb [41]

Answer:

5.15

Step-by-step explanation:

5.15 = 3a + 2.15

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I hope this helps you :)

8 0
2 years ago
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