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Eduardwww [97]
3 years ago
9

What is the perimeter of a rectangle with a length of 12 inches and a width of 5.76 inches

Mathematics
2 answers:
Dmitry_Shevchenko [17]3 years ago
6 0
Perimeter = 35.52
12+12+5.76+5.76=35.52
ludmilkaskok [199]3 years ago
3 1

Answer:

35.52 inches

Step-by-step explanation:

Perimeter (of a rectangle) = 2 * length + 2 * width

2 * 12 + 2 * 5.76 = 35.52

Perimeter of the rectangle is 35.52 inches.

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The resquest of the y'+6y=e^4t, y(0)=2
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This is a linear differential equation of first order. Solve this by integrating the coefficient of the y term and then raising e to the integrated coefficient to find the integrating factor, i.e. the integrating factor for this problem is e^(6x). 
<span>Multiplying both sides of the equation by the integrating factor: </span>

<span>(y')e^(6x) + 6ye^(6x) = e^(12x) </span>

<span>The left side is the derivative of ye^(6x), hence </span>

<span>d/dx[ye^(6x)] = e^(12x) </span>

<span>Integrating </span>

<span>ye^(6x) = (1/12)e^(12x) + c where c is a constant </span>

<span>y = (1/12)e^(6x) + ce^(-6x) </span>

<span>Use the initial condition y(0)=-8 to find c: </span>

<span>-8 = (1/12) + c </span>
<span>c=-97/12 </span>

<span>Hence </span>

<span>y = (1/12)e^(6x) - (97/12)e^(-6x)</span>
7 0
3 years ago
Which best expression is the best estimate of the product of 7/8 and 8 1/10
Mars2501 [29]

Answer:

D. 1x8

Step-by-step explanation:

7/8 rounded is 1. And 8 and 1/10 rounder is 8, so therefore your answer is 1x8.

hope this helps! :)

7 0
3 years ago
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MArishka [77]

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3 years ago
A lock on a fence door has a 4 digit combination. Each digit can be any number
Bas_tet [7]

Answer:

D. 9990 possible combinations

Step-by-step explanation:

The first digit has 10 choices (can be all of them), the second digit also has 10 choices. The third and fourth digits also have 10 choices.

Multiply them together you get 10*10*10*10 = 10000 possible combinations.

But since all 4 characters cannot be the same, we subtract 10 from 10000 (there are 10 combinations which the 4 characters are the same: 1111, 2222, 3333, 4444, 5555, 6666, 7777, 8888, 9999, and 0000) and we get 9990.

6 0
3 years ago
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Convert 45° from degrees to radians.
leonid [27]
<h2>pi divided by four</h2>

Step-by-step explanation:

Let the angle in degrees be a

Let the angle in radians be r

If a is the angle in degrees and r is the angle in radians,

a\times \frac{\pi }{180}=r

It is given that the a=45

r=\frac{\pi}{180}\times a= \frac{\pi}{180}\times 45=\frac{\pi}{4}

So,r=\frac{\pi}{4}

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3 years ago
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