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xxMikexx [17]
3 years ago
10

(

t{6} +\sqrt{3})(\sqrt{2}-2)" alt="(\sqrt{6} +\sqrt{3})(\sqrt{2}-2)" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Marta_Voda [28]3 years ago
7 0

Answer:

-2.453

Step-by-step explanation:

sqrt(6) * sqrt(2) = 3.461

sqrt(6) * -2 = -4.899

sqrt(3) * sqrt(2) = 2.449

sqrt(3) * -2 = -3.464

sum of numbers equals

-2.453

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Use a geometric formula to solve the problem. A rectangle has a width of 4 centimeters and a perimeter of 26 centimeters. Find t
AURORKA [14]

The length is 9.

The formula to find the perimeter of a rectangle is

2L + 2W = P.

2L + 2(4) = 26.

2L + 8 = 26.

2L + 8 (-8) = 26 (-8).

2L = 18.

2L/2 = 18/2.

L = 9.

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>

5 0
3 years ago
Let x denote the number of defective light bulbs in a randomly selected 20-count box from a local hardware store. The variable x
Molodets [167]

Answer:

B

Step-by-step explanation:

because it make the most sense

8 0
3 years ago
Find the value of y in the formula y = 5a – 3b + c, if a = 12, b = 4, and c = 8. A. 64 B. 56 C. 40 D. 80
Orlov [11]
<span>y = 5(12) - 3(4) + 8 
y = 60 - 12 + 8 
y= 56</span>
3 0
3 years ago
Read 2 more answers
Need help with this getting the answer for this question
mafiozo [28]

Answer:

x= 0.965

Step-by-step explanation:

the question if from trigonometry chapter

here with the formula I shared below

opposite/hypotenuse = sin( 16° )

opposite,x = sin( 16° )*3.5

0.965

4 0
2 years ago
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