3 years ago

A kite gets stuck at the top of a vertical tree. The kite's 15 m string

Mathematics

1 answer:

Georgia [21]3 years ago

8 0

Are you good it’s 73.33

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Help math question derivative!

atroni [7]

Let $f(x)=\sec^{-1}x$ . Then $\sec f(x)=x$ , and differentiating both sides with respect to $x$ gives

$(\sec f(x))'=\sec f(x)\tan f(x)\,f'(x)=1$
$f'(x)=\dfrac1{\sec f(x)\tan f(x)}$

Now, when $x=\sqrt2$ , you get

$(\sec^{-1})'(\sqrt2)=f'(\sqrt2)=\dfrac1{\sec\left(\sec^{-1}\sqrt2\right)\tan\left(\sec^{-1}\sqrt2\right)}$

You have $\sec^{-1}\sqrt2=\dfrac\pi4$ , so $\sec\left(\sec^{-1}\sqrt2\right)=\sqrt2$ and $\tan\left(\sec^{-1}\sqrt2\right)=1$ . So $(\sec^{-1})'(\sqrt2)=\dfrac1{\sqrt2\times1}=\dfrac1{\sqrt2}$

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3 years ago

The expression below represents the number of boxes of cookies sold by a girl scouts troop with 14 members at the school fair, w

Zinaida [17]

I think it would be The first term indicates that the 14 girl scouts each sold 22 boxes of cookies per additional day of the fair. The second term indicates that the 14 girl scouts each sold 25 boxes of cookies on the first day of the fair.

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3 years ago

Vida correctly answered 18 of a 20 item test. Express her score in percent.

DerKrebs [107]

Her score in percent is 90%

7 0

3 years ago

Read 2 more answers

If clay cost $16.50 for 50lb how much does clay cost for 45 pounds

emmasim [6.3K]

45 divided by 50= 90%
0.9*16.50=14.85

6 0