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3 years ago

Find the derivative of the function using the definition of derivative. f(x) = 1 5 x − 1 6

1 answer:

3 0

The answer would be f'(x)=15. the constant 15 would be left alone and the derivative of x is just one giving you the 15 left over. -16 is not connected to a letter so the derivative of that would be 0.

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arlik [135]

Given:

In a right angle triangle θ is an acute angle and $\tan\theta =\dfrac{3}{5}$ .

To find:

The value of $\cos \theta$ .

Solution:

In a right angle triangle,

$\tan \theta=\dfrac{Perpendicular}{Base}$

We have,

$\tan\theta =\dfrac{3}{5}$

It means the ratio of perpendicular to base is 3:5. Let 3x be the perpendicular and 5x be the base.

By using Pythagoras theorem,

$Hypotenuse=\sqrt{Perpendicular^2+base^2}$

$Hypotenuse=\sqrt{(3x)^2+(5x)^2}$

$Hypotenuse=\sqrt{9x^2+25x^2}$

$Hypotenuse=\sqrt{34x^2}$

$Hypotenuse=x\sqrt{34}$

In a right angle triangle,

$\cos \theta=\dfrac{Base}{Hypotenuse}$

$\cos \theta=\dfrac{5x}{x\sqrt{34}}$

$\cos \theta=\dfrac{5}{\sqrt{34}}$

Therefore, the value of $\cos \theta$ is $\dfrac{5}{\sqrt{34}}$ .

8 0

3 years ago

The squares of the first five whole numbers

antiseptic1488 [7]

Answer:

Square each number: 1 , 2 , 3 , 4 , 5:

1² = 1 * 1 = 1

2² = 2 * 2 = 4

3² = 3 * 3 = 9

4² = 4 * 4 = 16

5² = 5 * 5 = 25

4 0

3 years ago

BRAINLIEST ANSWER (please answer)

ozzi

Answer:

0.20p + 7 = 0.30p + 5

Step-by-step explanation:

I
took
the
test
Enjoy!
UwU

5 0

3 years ago

Julia worked on her chores from 3:15 until 4:00 how long did julia work

Dafna1 [17]

45 minutes i m sure all you do is count up or subtract 60 from 15

7 0

3 years ago

Read 2 more answers

A list of values that can be ordered from least to greater

Romashka [77]

Step-by-step explanation:

50, 278, 976, 6866, 68, 48.77, 68 1/9

4 0

3 years ago