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3 years ago

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Is the product of square root of 36 and 2/3 rational or irrational explain your reasoning

1 answer:

sineoko [7]3 years ago

5 0

Answer:

rational

Step-by-step explanation:

A rational number can be expressed in the form

$\frac{a}{b}$ where a and b are integers.

$\sqrt{36}$ = ± 6, and

± 6 × $\frac{2}{3}$ = ± 4 , that is $\frac{4}{1}$ or - $\frac{4}{1}$ ← rational numbers

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Cos(−θ)=√3/3, sinθ<0

Delicious77 [7]

Answer:

$\sin\theta=-\frac{\sqrt{6}}{3}$

Step-by-step explanation:

The given trigonometric equation is $\cos(-\theta)=\frac{\sqrt{3} }{3}$ .

We can either use the Pythagorean identity or the right angle triangle to solve for $\sin\theta$ .

According to the Pythagorean identity,

$\cos^2\theta+\sin^2\theta=1$

Recall that, the cosine function is an even function, therefore

$\cos(-\theta)=\cos(\theta)$

$\Rightarrow \cos(\theta)=\frac{\sqrt{3} }{3}$ .

We substitute this value in to the above Pythagorean identity to get;

$(\frac{\sqrt{3}}{3})^2+\sin^2\theta=1$

$\Rightarrow \frac{3}{9}+\sin^2\theta=1$

$\Rightarrow \sin^2\theta=1-\frac{3}{9}$

$\Rightarrow \sin^2\theta=\frac{6}{9}$

$\Rightarrow \sin\theta=\pm \sqrt{\frac{6}{9}}$

$\Rightarrow \sin\theta=\pm \frac{\sqrt{6}}{3}$

But we were given that,

$\sin\theta\:$ , so we choose the negative value.

$\Rightarrow \sin\theta=-\frac{\sqrt{6}}{3}$

The correct answer is B

7 0

3 years ago

In the diagram below, tan e = 3. What is the value of m?

pychu [463]

I would recommend asking a tutor

8 0

3 years ago

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Can some one help me on this

Vilka [71]

28 divided by 4 = 7
so do 7 * 5 which is 35 so they make 35 cookies in 5 seconds

4 0

2 years ago

an assembly line worker at Rob's Bicycle factory adds a seat to a bicycle at the rate of 2 seats in 11 minutes. Write a proporti

LuckyWell [14K]

Rate = 2 seats/11 minutes = 2/11 seats/min

Therefore the time required for s seats is
$(m \, min) = \frac{s \, seats}{ \frac{2}{11} \, \frac{seats}{min} } = \frac{11s}{2} \, min$
That is,
m = (11s)/2 min

When s = 16, obtain
$m = \frac{11(16)}{2} = 88 \, min$

When s = 19, obtain
$m = \frac{11(19)}{2} = 104.5 \, min$

Answers:
$m = \frac{11s}{2}$
When s = 16, m = 88 min
When s = 19, m = 104.5 min

3 0

3 years ago

Please help me! what’s the answer?<br><br> 1) Two points<br> 2) One point <br> 3) One equation

Fiesta28 [93]

Answer:

I think 2 points

Step-by-step explanation:

I may be wrong bc I suck at algebra. literally who is gonna use algebra ever?

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3 years ago

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