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elena-14-01-66 [18.8K]

3 years ago

7

The length of a rectangle is six inches more than its width. If the perimeter of the rectangle is 24 inches, find its dimensions

.

1 answer:

Artemon [7]3 years ago

8 0

Answer:

length= 9

width= 3

Step-by-step explanation:

x= width

length = x+6

x+6+x+6+x+x=24

4x+12=24

take 12 from both sides

4x= 12

x=3

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Oduvanchick [21]

Answer: OPTION B.

Step-by-step explanation:

You need to analize the information given in order to solve this exercise.

According to the explained in the exercise, the graph shows Eli's distance (in miles) away from his house as a function of time (in minutes).

Then, based on that you can determine that he started his trip from the point $(0,0)$ (Notice that the time and the distance are zero)

Observe in the graph that he arrived to the library (which is 4 miles away from his house) after 30 minutes.

Then, he stayed at the library. You know this because it is represented with an horizontal line.

Now you can identify in the graph that, from the point $(120,4)$ ,in which the time in minutes is $t=120$ , Eli began his trip from the library to his house.

Therefore, based on the above, you can determine that, when the time is equal to 120 minutes, Eli rode his bicycle home from the library.

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4 years ago

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taurus [48]

Answer:
A. -4

Explanation:
-4 - 6 = -10
5 (-4+2) = -10

8 0

3 years ago

∫(cosx) / (sin²x) dx

kirza4 [7]

If you're using the app, try seeing this answer through your browser: brainly.com/question/2822772

_______________

Evaluate the indefinite integral:

$\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx}\\\\\\
=\mathsf{\displaystyle\int\! \frac{1}{(sin\,x)^2}\cdot cos\,x\,dx\qquad\quad(i)}$

Make the following substitution:

$\mathsf{sin\,x=u\quad\Rightarrow\quad cos\,x\,dx=du}$

and then, the integral (i) becomes

$=\mathsf{\displaystyle\int\! \frac{1}{u^2}\,du}\\\\\\
=\mathsf{\displaystyle\int\! u^{-2}\,du}$

Integrate it by applying the power rule:

$\mathsf{=\dfrac{u^{-2+1}}{-2+1}+C}\\\\\\
\mathsf{=\dfrac{u^{-1}}{-1}+C}\\\\\\
\mathsf{=-\,\dfrac{1}{u}+C}$

Now, substitute back for u = sin x, so the result is given in terms of x:

$\mathsf{=-\,\dfrac{1}{sin\,x}+C}\\\\\\
\mathsf{=-\,csc\,x+C}$

$\therefore~~\boxed{\begin{array}{c}\mathsf{\displaystyle\int\! \frac{cos\,x}{sin^2\,x}\,dx=-\,csc\,x+C} \end{array}}\qquad\quad\checkmark$

I hope this helps. =)

Tags: <em>indefinite integral substitution trigonometric trig function sine cosine cosecant sin cos csc differential integral calculus</em>

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4 years ago

The temperature in Quebec City was 5°C at 4 pm. By midnight, the temperature dropped 15 degrees.

TEA [102]

Answer:

Point A.

Step-by-step explanation:

We know that the temperature dropped 15 degrees, and that it was initially of 5°C. So, by midnight, the temperature will be of -10°C (5-15=-10).

We also know that the distance between points is of 5°C. So, the point that we have to mark is point A, which represents -10°C.

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3 years ago

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Molodets [167]

The triangle on the left appears to be congruent with the triangle on the right. If this observation is actually valid, then x+7 = 2x-5. 12=x Yes, I realize that this doesn't match any of the answer choices, 'tho the 4th choice is the only one that contains "12." Would you please share the instructions for this problem.

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3 years ago