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Neporo4naja [7]
3 years ago
6

What is f? To 2 decimal places

Mathematics
2 answers:
Goryan [66]3 years ago
8 0
Tan 32 = f/18
f = 18 × tan 32
= 11.25
= 11 ( to 2 sf)

Hope it helped
melomori [17]3 years ago
7 0
Using TOA CAH SOH

You are given an angle and a length, in this case the lenth is adj to the angle.

∴ use TOA
tan(32) = f/18
f = 18tan(32)
f = 11.24764 units
f ≈ 11.25 units (2d.p.)
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Anastaziya [24]

Answer:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

Step-by-step explanation:

we would like to figure out the derivative of the following:

\displaystyle  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

to do so, let,

\displaystyle y =  \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }

By simplifying we acquire:

\displaystyle y =  3 -  \frac{2}{x}  -  \frac{1}{ {x}^{2} }

use law of exponent which yields:

\displaystyle y =  3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} }

take derivative in both sides:

\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  (3 -  2 {x}^{ - 1}  -   { {x}^{  - 2} } )

use sum derivation rule which yields:

\rm\displaystyle  \frac{dy}{dx} =  \frac{d}{dx}  3 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

By constant derivation we acquire:

\rm\displaystyle  \frac{dy}{dx} =  0 -   \frac{d}{dx} 2 {x}^{ - 1}  -     \frac{d}{dx} {x}^{  - 2}

use exponent rule of derivation which yields:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ - 1 -1} ) -     ( - 2 {x}^{  - 2 - 1} )

simplify exponent:

\rm\displaystyle  \frac{dy}{dx} =  0 -   ( - 2 {x}^{ -2} ) -     ( - 2 {x}^{  - 3} )

two negatives make positive so,

\displaystyle  \frac{dy}{dx} =   2 {x}^{ -2} +      2 {x}^{  - 3}

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

\displaystyle  \frac{dy}{dx} =   \frac{2 }{x^2}+       \frac{2}{x^3}

simplify addition:

\displaystyle  \frac{dy}{dx} =    \frac{2x + 2}{x^3}

and we are done!

5 0
3 years ago
4. Find the range of the data set: 3, 21, 17, 17, 34, 22, 26<br><br>Please help​
Anna007 [38]

Answer:

31

Step-by-step explanation:

The Range is the difference between the lowest and highest values (3, 34)

7 0
2 years ago
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Rashid [163]

Answer:

yes it is correct

Step-by-step explanation:

5 0
2 years ago
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lianna [129]

Answer:

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Step-by-step explanation:

Hope this helped. And I know that you can choose more than one, but I'm pretty sure this is the only one that's equivalent to -2/3

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Answer:

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Step-by-step explanation:

6×9×12=648

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2 years ago
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