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Alex_Xolod [135]
3 years ago
14

If sin(theta) =4/5 and is in quadrant 2, the value of cot(theta

Mathematics
1 answer:
iren [92.7K]3 years ago
5 0
\sin\theta= \frac{4}{5} 
\\
\\\sin^2\theta+\cos^2\theta=1
\\ \cos\theta=\pm \sqrt{1-\sin^2\theta} =\pm \sqrt{1-( \frac{4}{5})^2 } =\pm \sqrt{1- \frac{16}{25} } =\pm \sqrt{\frac{9}{25} }=\pm \frac{3}{5}}

\theta \in II \Rightarrow \cos\theta\ \textless \ 0 \Rightarrow \cos\theta=-\frac{3}{5}

\cot\theta= \frac{\cos\theta}{\sin\theta}= \frac{-\frac{3}{5}}{\frac{4}{5}}  =- \frac{3}{4}

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16/8 would be classified as a/an?<br> A:whole number <br> B:integer <br> C:Rational Number
gregori [183]

Answer:

Whole Number

Step-by-step explanation:

Numerator. This is the number above the fraction line. For 16/8, the numerator is 16.

Denominator. This is the number below the fraction line. For 16/8, the denominator is 8.

Improper fraction. This is a fraction where the numerator is greater than the denominator.

Mixed number. This is a way of expressing an improper fraction by simplifying it to whole units and a smaller overall fraction. It's an integer (whole number) and a proper fraction.

Now let's go through the steps needed to convert 16/8 to a mixed number.

Step 1: Find the whole number

We first want to find the whole number, and to do this we divide the numerator by the denominator. Since we are only interested in whole numbers, we ignore any numbers to the right of the decimal point.

16/8 = 2

Now that we have our whole number for the mixed fraction, we need to find our new numerator for the fraction part of the mixed number.

Step 2: Get the new numerator

To work this out we'll use the whole number we calculated in step one (2) and multiply it by the original denominator (8). The result of that multiplication is then subtracted from the original numerator:

16 - (8 x 2) = 0

Step 3: Our mixed fraction

We've now simplified 16/8 to a mixed number. To see it, we just need to put the whole number together with our new numerator and original denominator:

2 (0/8)

You maybe have noticed here that our new numerator is actually 0. Since there is no remainder, we can remove the entire fraction part of this mixed number, leaving us with a final answer.

8 0
3 years ago
Probability help!!!!!
nirvana33 [79]

Let A be the event A=\{choosing \;an \;odd \;number\} and B be the vent B=\{choosing \;an \;even \;number\}. Since the intersection of the events A\cap B=\phi, the events A and B are mutually exclusive.

The number is either odd or even. Since P(A)+P(B)=1, the events are mutually exclusive and exhaustive.

Correct choice is "the number is either odd or even".

7 0
3 years ago
Help me please it hardddd
iogann1982 [59]

There are a total 40 cars

and there is x yellow cars

and there are nine times as much white cars (9x white cars) lol

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simplify 10x=40

divide both sides by ten 10x/10=40/10

x=4

we are looking for the number of WHITE cars sooo we multiply by 9-

9x=36

how is this "hardddd" no offence*

sorry im a mean person


3 0
3 years ago
Two angle measures of a triangle are 62° and 28°. What is the measure of the third angle?
SOVA2 [1]
The third angle would measure 90 degrees
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Which expression is equivalent to 2(x + 7) - 18x+<br> 4/5 ?
Serjik [45]

Answer:

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Step-by-step explanation:

Perform the indicated multiplication.  We get:

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Next, combine like terms:  We get:

-16x + 14 4/5

3 0
3 years ago
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