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2 years ago

Find the length of the missing side. Give your answer in the simplest radical form.

Mathematics

2 answers:

kiruha [24]2 years ago

7 0

Answer:

Step-by-step explanation:

Ratio of sides of 30 : 60 : 90 degree triangle is :

a : a√3 : 2a

Here, a√3 = 23

a = 23/√3

x= 23/√3

y = 2*23/√3 = 46/√3

arlik [135]2 years ago

4 0

Answer:

x=23/ $\sqrt{3}$

y=46/ $\sqrt{3}$

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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

3 years ago

Solve 3x - 12 = 3x + 4<br> REALLY need help with this!!!<br> Please show ALL of your work<br> :)

bazaltina [42]

Answer: It has no solution.

Step-by-step explanation:

3x - 12 - 4 = 3x + 4 - 4

3x - 8 = 3x

3x - 8 - 8 = 3x - 8

we can't subtract 3x-8

Doesn't add up; they need to have one solution or more for it to work.

7 0

3 years ago

A cylinder with a height of 4 m has a volume of approximately

tigry1 [53]

Answer:

18m

Step-by-step explanation:

113.04m/3.14 = 36m/4m = 9m*2 = 18m

7 0

3 years ago

Please help I can’t figure it out

Lynna [10]

Answer:

149.71

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

What is the perimeter of the polygon? Do not round any side lengths. Please help me.

DanielleElmas [232]

The easiest way to do this is to plot the points. I used the pythagorean theorem for this one, too. Add the side lengths to get the perimeter: 5 + 5 + 5 + 3 + √40 = 24.32455532 units or just 24 units.

4 0

4 years ago