3 years ago

All integers are rational numbers true or false please explain

1 answer:

8 0

True, integers are all counting numbers and their opposites, and all of them can be represented as a fraction
example: 3 is a counting number(integer) and it is rational because it can be represented as 3over1

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If sine ⁡theta equals negative 8/17 and the terminal side of theta lies in quadrant IV, find cosine ⁡ theta .

Lelechka [254]

$\sin^2\theta+\cos^2\theta=1\implies \cos\theta=\pm\sqrt{1-\sin^2\theta}$

Since $\sin\theta=-\dfrac8{17}$ , it follows that

$\cos\theta=\pm\sqrt{1-\dfrac{64}{289}}=\pm\sqrt{\dfrac{225}{289}}=\pm\dfrac{15}{17}$

where the sign depends on the location of the terminal side of the angle. Since the terminal side lies in the fourth quadrant, that means the cosine of the angle is positive, so

$\cos\theta=\dfrac{15}{17}$

3 0

3 years ago

What is the simplest form of 6/27?

aivan3 [116]

The fraction 6/27 is equivalent1 to 2/9.

This is a proper fraction once the absolute value of the top number or numerator (6) is smaller than the absolute value of the bottom number or denomintor (27).

8 0

3 years ago

2/3y=-3x-9 pleaseeeeeeeeee

charle [14.2K]

The slope is -4.500
Hope this helped :)

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3 years ago

of this data set 56, 57, 57, 58, 59, 60, 60, 60, 62, 64, 64, 66, 67, 67, 67, 68 what's the mean absolute deviation

seropon [69]

Answer:

3.625

Step-by-step explanation: