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2 years ago

77 is what percent of 192

Mathematics

1 answer:

Rzqust [24]2 years ago

3 0

in this condition "of" is considered as multiply(×) so the questions form in maths form is 77% × 192

because it is multiplication sign we multiply 77×192=14784 dont forget the percentage % percent is /100 so 14784/100 = 147.84.

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Simplify the expression cos x cot x+ sin x please select the best answer from the choices provided a.0, b.csc x, c. Tan x, d sec

expeople1 [14]

Answer:

$cot x = \frac{cos x}{sin x}$

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

Step-by-step explanation:

For this case we have the following expression given:

$cos x cot x + sin x$

We know from math properties that the definition for cot is $cot x = \frac{cos x}{sin x}$

If we use this definition we got:

$cos x \frac{cos x}{sin x} + sin x$

$\frac{cos^2 x}{sin x} +sin x$

Now we can use the following identity:

$sin^2 x + cos^2 x =1$

Solving for $cos^2 x$ we got $cos^2 x =1 -sin^2 x$ and replacing this we got:

$\frac{1-sin^2 x}{sin x} +sin x$

$\frac{1}{sin x} -\frac{sin^2 x}{sin x} +sin x$

$csc x -sin x + sin x = csc x$

And then the best option for this case would be:

b.csc x

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viktelen [127]

Answer:

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11

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12+6+15=12+6+15 is the correct answer

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max2010maxim [7]

Answer:

$f^{-1}$ means the inverse function

$f^{-1}$ = $\sqrt[3]{(x + 6)/5}$

Step-by-step explanation:

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to find an inverse function, flip the x and y variables and solve for y

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y = 5x^3 - 6

x = 5y^3 - 6

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