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Vedmedyk [2.9K]

4 years ago

11

Sarah says that you can find the lcm of any two whole numbers by multiplying them together. Provied a counterexample to show tha

t sarahs statement is incorrect

1 answer:

nirvana33 [79]4 years ago

4 0

Answer:

Sarah's statement is incorrect.

Step-by-step explanation:

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Given sin theta = 1/3 and 0 theta pi/2 find tan 2 theta

Kazeer [188]

Answer:

$\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}$

Step-by-step explanation:

Given: $\sin\theta = \dfrac{1}{3}$

$0\leq \theta \leq \dfrac{\pi}{2}$

Theta lie in first quadrant.

Multiply both sides by 2

$0\leq 2\theta \leq \pi$

2theta lie in I and II quadrant.

$\tan2\theta$ is positive in I and negative in II quadrant.

$\sin\theta=\dfrac{1}{3}$

$\cos\theta=\dfrac{2\sqrt{2}}{3}$

$\sin2\theta=2\sin\theta\cos\theta$

$\sin2\theta=2\cdot \dfrac{1}{3}\cdot \dfrac{2\sqrt{2}}{3}=\dfrac{4\sqrt{2}}{9}$

$\cos2\theta=\pm \sqrt{1-\sin^22\theta}=\pm\dfrac{7}{9}$

$\tan2\theta=\dfrac{\sin2\theta}{\cos2\theta}$

$\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}$

Hence, The value of $\tan2\theta=\pm\dfrac{4\sqrt{2}}{7}$

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3 years ago

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They are easy to compare if they all have the same common denominator, then you can easily order them by the magnitude of the numerators...

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Two coins are tossed at the same time. What is the probability that they will both land tails up?

strojnjashka [21]

I believe the answer is 1/4

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4 years ago

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A bag of marbles has 6 red marbles and 7 green marbles in it. What is the percent probability of pulling a green marble out of t

soldi70 [24.7K]

Answer:

If a bag contains 4 red marbles, 3 blue marbles, and 7 green marbles and a marble is randomly selected from the bag, what is the probability that it is blue? P=3/(3+4+7)=3/14 because each of 14 marbles is equally likely to be drawn.

Step-by-step explanation:

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3 years ago