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ki77a [65]
3 years ago
6

Solve for the missing side length Need help please

Mathematics
2 answers:
natita [175]3 years ago
6 0

Answer:

6

Step-by-step explanation:

Let the missing side be represented as x.

Applying the triangle proportionality theorem, we have:

\frac{15}{x} = \frac{14 - 4}{4}

Solve for x

\frac{15}{x} = \frac{10}{4}

Cross multiply

x(10) = 4(15)

10x = 60

Divide both sides by 10

x = 6

babymother [125]3 years ago
3 0

Answer:

23

Step-by-step explanation:

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The answer is six feet
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What is the quotient of 2/3 divided by 4 in simples form
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Step-by-step explanation:

Quotient of 2/3 divided by 4

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3 years ago
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Derivative of tan(2x+3) using first principle
kodGreya [7K]
f(x)=\tan(2x+3)

The derivative is given by the limit

f'(x)=\displaystyle\lim_{h\to0}\frac{f(x+h)-f(x)}h

You have

\displaystyle\lim_{h\to0}\frac{\tan(2(x+h)+3)-\tan(2x+3)}h
\displaystyle\lim_{h\to0}\frac{\tan((2x+3)+2h)-\tan(2x+3)}h

Use the angle sum identity for tangent. I don't remember it off the top of my head, but I do remember the ones for (co)sine.

\tan(a+b)=\dfrac{\sin(a+b)}{\cos(a+b)}=\dfrac{\sin a\cos b+\cos a\sin b}{\cos a\cos b-\sin a\sin b}=\dfrac{\tan a+\tan b}{1-\tan a\tan b}

By this identity, you have

\tan((2x+3)+2h)=\dfrac{\tan(2x+3)+\tan2h}{1-\tan(2x+3)\tan2h}

So in the limit you get

\displaystyle\lim_{h\to0}\frac{\dfrac{\tan(2x+3)+\tan2h}{1-\tan(2x+3)\tan2h}-\tan(2x+3)}h
\displaystyle\lim_{h\to0}\frac{\tan(2x+3)+\tan2h-\tan(2x+3)(1-\tan(2x+3)\tan2h)}{h(1-\tan(2x+3)\tan2h)}
\displaystyle\lim_{h\to0}\frac{\tan2h+\tan^2(2x+3)\tan2h}{h(1-\tan(2x+3)\tan2h)}
\displaystyle\lim_{h\to0}\frac{\tan2h}h\times\lim_{h\to0}\frac{1+\tan^2(2x+3)}{1-\tan(2x+3)\tan2h}
\displaystyle\frac12\lim_{h\to0}\frac1{\cos2h}\times\lim_{h\to0}\frac{\sin2h}{2h}\times\lim_{h\to0}\frac{\sec^2(2x+3)}{1-\tan(2x+3)\tan2h}

The first two limits are both 1, and the single term in the last limit approaches 0 as h\to0, so you're left with

f'(x)=\dfrac12\sec^2(2x+3)

which agrees with the result you get from applying the chain rule.
7 0
3 years ago
What is the hypothesis of the following statement if a figure is a square,then it has four sides
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Conditional statement 
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3 years ago
4.58+y=2.5<br><br> y= ??????
zepelin [54]

Answer:

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Step-by-step explanation:

If you just switch the problem, to make it 4.58-2.5, you get negative 2.5

6 0
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