Find x for all three triangles.

Mathematics

1 answer:

Lady bird [3.3K]2 years ago

3 0

In 13, x=27.496
In 14, x=16.824
In 15, x=51.34°

<em />I did this in my head; it would take longer to write it out. I'll show you the trig if need be.

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Can someone please help me????

azamat

Does the rate of change equal for each.
take the output difference and divide by the input distance
1st -5/10 = -1/2
2nd -1/2
3rd -5/10.= -1/2

3 0

2 years ago

Differentiating a Logarithmic Function in Exercise, find the derivative of the function. See Examples 1, 2, 3, and 4.

wlad13 [49]

Answer:

$\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

Step-by-step explanation:

To solve the question we refresh our knowledge of the quotient rule.

For a function f(x) express as a ratio of another functions u(x) and v(x) i.e

$f(x)=\frac{u(x)}{v(x)}\\$ , the derivative is express as

$\frac{df(x)}{dx}=\frac{v(x)\frac{du(x)}{dx}-u(x)\frac{dv(x)}{dx}}{v(x)^{2} }$

from $y=lnx/x^{2}$

we assign u(x)=lnx and v(x)=x^2

and the derivatives

$\frac{du(x)}{dx}=\frac{1}{x}\\\frac{dv(x)}{dx}=2x\\$ .

Note the expression used in determining the derivative of the logarithm function.it was obtain from the general expression of logarithm derivative i.e $y=lnx\\\frac{dy}{dx}=\frac{1}{x}$

If we substitute values into the quotient expression we arrive at

$\frac{dy}{dx}=\frac{(x^{2}*\frac{1}{x})-(2x*lnx)}{x^{4}}\\\frac{dy}{dx}=\frac{x-2xlnx}{x^{4}}\\\frac{dy}{dx}=\frac{x(1-2lnx)}{x^{4}}$

8 0

2 years ago

Help please!!!!!!!!!!!!!

kaheart [24]

Answer:

Step-by-step explanation:

6x3=18

8-3=5

6+1=7

7x5=35

35+18=53

I hope this helps!

5 0

2 years ago

Select the correct answer from each drop down menu. In the figure, AB=__inches and AC=___

BaLLatris [955]

Answer: In the figure AB is about 8.4 inches and AC is about 13.05 inches.

Step-by-step explanation: We can use cosine to find the hypotenuse. $cos(40)=\frac{10}{x} \\cos(40) (x)=\frac{10}{x}(x)\\cos(40) (x) =10\\\frac{cos(40) (x)}{cos (40)} =\frac{10}{cos (40)} \\x=\frac{10}{cos(40)}$