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eduard
3 years ago
14

the length of a rectangle is 1 inch more than twice its width. if the perimeter of the rectangle is 74 inches, find the dimensio

ns of the rectangle.
Mathematics
1 answer:
Tatiana [17]3 years ago
7 0
L = 2W + 1..................(1)
2L + 2W = 74
2L = -2W + 74..............(2)   Adding  (1) and (2):-

3L = 75
L = 75/3 = 25

W = (25 - 1) / 2 = 12

length is 25 inches and width = 12 inches
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How do you do this question?
Andrei [34K]

Answer:

Solution : Option B, or 9π

Step-by-step explanation:

We are given that y = x, x = 3, and y = 0.

Now assume we have a circle that models the given information. The radius will be x, so to determine the area of that circle we have πx². And knowing that x = 3 and y = 0, we have the following integral:

\int _0^3

So our set up for solving this problem, would be such:

\int _0^3x^2\pi \:

By solving this integral we receive our solution:

\int _0^3x^2\pi dx,\\\mathrm{Take\:the\:constant\:out}:\quad \int a\cdot f\left(x\right)dx=a\cdot \int f\left(x\right)dx\\=> \pi \cdot \int _0^3x^2dx\\\mathrm{Apply\:the\:Power\:Rule}:\quad \int x^adx=\frac{x^{a+1}}{a+1}\\=> \pi \left[\frac{x^{2+1}}{2+1}\right]^3_0\\=> \pi \left[\frac{x^3}{3}\right]^3_0\\\mathrm{Compute\:the\:boundaries}: \left[\frac{x^3}{3}\right]^3_0=9\\\mathrm{Substitute:9\pi }

As you can tell our solution is option b, 9π. Hope that helps!

5 0
3 years ago
Read 2 more answers
Help please i need this ansered
kaheart [24]

Answer:

2 hours is the answer because when you are rounding to the nearest tenth they both will be $15.70.

5 0
3 years ago
Select the correct answer from each drop-down menu.
podryga [215]

Answer with explanation:

\text{Average}=\frac{\text{Sum of all the observation}}{\text{Total number of Observation}}

Average Height of tallest Building in San Francisco

                    =\frac{260+237+212+197+184+183+183+175+174+173}{10}\\\\=\frac{1978}{10}\\\\=197.8

Average Height of tallest Building in Los Angeles

                    =\frac{310+262+229+228+224+221+220+219+213+213}{10}\\\\=\frac{2339}{10}\\\\=233.9

→→Difference between Height of tallest Building in Los Angeles and  Height of tallest Building in San Francisco

               =233.9-197.8

               =36.1

⇒The average height of the 10 tallest buildings in Los Angeles is 36.1 more than the average height of the tallest buildings in San Francisco.

⇒Part B

Mean absolute deviation for the 10 tallest buildings in San Francisco

 |260-197.8|=62.2

 |237-197.8|=39.2

 |212-197.8|=14.2

 |197 -197.8|= 0.8

 |184 -197.8|=13.8

 |183-197.8|=14.8

 |183-197.8|= 14.8

 |175-197.8|=22.8

 |174-197.8|=23.8

 |173 -197.8|=24.8

Average of these numbers

     =\frac{62.2+39.2+14.2+0.8+13.8+14.8+14.8+22.8+23.8+24.8}{10}\\\\=\frac{231.2}{10}\\\\=23.12

Mean absolute deviation=23.12

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3 years ago
PLEASE HELP ASAP - Rewrite the following without an exponent .<br><br> (-6)^-1
Natasha_Volkova [10]

Answer:

-0.167

Step-by-step explanation:

you can literally put this into your calculator :-)

3 0
4 years ago
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Montano1993 [528]

Answer:

C

Step-by-step explanation:

The range is the values of y that extend from the vertex downwards

The vertex = (- 2, - 1) → y = - 1

range is (- ∞, - 1 ]

7 0
3 years ago
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