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Mathematics

1 answer:

yaroslaw [1]1 year ago

6 0

Remember,

sin = op/hyp

cos = adj/hyp

tan = op/adj

For question 3 it would be B and C, because the adjacent side of angle x is 12, the hypotenuse is 37, and cos = adj/hyp. Also, the opposite side of angle z is 12, and the hypotenuse is 37, and sin = op/hyp. So both answers would be 12/37. You would do the same with question 4.

For 5, you would do the same thing. It would be D because you can only take the sin of angle 24, and x is a side. the opposite of 24 is x and the hypotenuse is 11, so sin 24 would be x/11. It is the same for problem 6.

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Implicit differentiation of 1/x +1/y=5 y(4)= 4/19<br> y'(4)=?

Aneli [31]

$\frac{1}{x} +\frac{1}{y} = 5\\\\x^{-1}+y^{-1}=5\\$

Above, I changed the fraction form of x and y into exponential form so it is easier to see the differentiation. Now, we can differentiate:

$-1x^{-2}+-1y^{-2}\frac{dy}{dx}=5\\\\\frac{-1}{x^2}-\frac{1}{y^2}\frac{dy}{dx}=5\\\\-\frac{1}{y^2}\frac{dy}{dx}=5+\frac{1}{x^2}\\\\\frac{dy}{dx}=-5y^2-\frac{y^2}{x^2}$

Now that we have dy/dx, we can plug in the x, which is 4, and the y, which is 4/19. We know these values of x and y because your question stated y(4) = 4/19.

$\frac{dy}{dx}=-5(\frac{4}{19})^2-\frac{(\frac{4}{19})^2}{(4)^2}\\\\\frac{dy}{dx}=-5(\frac{16}{361})-\frac{(\frac{16}{361})}{16}\\\\\frac{dy}{dx}=\frac{-80}{361}-\frac{1}{361}\\\\\frac{dy}{dx}=\frac{-81}{361}$

5 0

3 years ago

The area of Ms. Anderson’s office floor measures 120

Maslowich

Answer:

72 square feet not covered

Step-by-step explanation:

100%-40% = 60%

60% of 120 = 0.6x120 = 72

8 0

2 years ago

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