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Fantom [35]

3 years ago

s="latex-formula">

Mathematics

2 answers:

MissTica3 years ago

6 0

Answer:

Step-by-step explanation:

<h3>HOPE IT HELPS!!!!!!</h3>

MaRussiya [10]3 years ago

3 0

200+200=400
400+200=600
Answer: 600

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Ainat [17]

Answer:

i’m not 100% sure, but i’m going to say it’s 30 degrees

Step-by-step explanation:

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3 years ago

Based on the data in this two-way table, if a flower is picked at random, what is the probability of getting a yellow flower?

Marysya12 [62]

Answer:

3/7

Step-by-step explanation:

(# yellow)/(total #) = 135/315 = 3/7

The probability that a randomly chosen flower will be yellow is 3/7.

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3 years ago

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Katyanochek1 [597]

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3 years ago

HELP! Find the value of sin 0 if tan 0 = 4; 180 < 0< 270

BabaBlast [244]

Hi there! Use the following identities below to help with your problem.

$\large \boxed{sin \theta = tan \theta cos \theta} \\ \large \boxed{tan^{2} \theta + 1 = {sec}^{2} \theta}$

What we know is our tangent value. We are going to use the tan²θ+1 = sec²θ to find the value of cosθ. Substitute tanθ = 4 in the second identity.

$\large{ {4}^{2} + 1 = {sec}^{2} \theta } \\ \large{16 + 1 = {sec}^{2} \theta } \\ \large{ {sec}^{2} \theta = 17}$

As we know, sec²θ = 1/cos²θ.

$\large \boxed{sec \theta = \frac{1}{cos \theta} } \\ \large \boxed{ {sec}^{2} \theta = \frac{1}{ {cos}^{2} \theta} }$

And thus,

$\large{ {cos}^{2} \theta = \frac{1}{17}} \\ \large{cos \theta = \frac{ \sqrt{1} }{ \sqrt{17} } } \\ \large{cos \theta = \frac{1}{ \sqrt{17} } \longrightarrow \frac{ \sqrt{17} }{17} }$

Since the given domain is 180° < θ < 360°. Thus, the cosθ < 0.

$\large{cos \theta = \cancel\frac{ \sqrt{17} }{17} \longrightarrow cos \theta = - \frac{ \sqrt{17} }{17}}$

Then use the Identity of sinθ = tanθcosθ to find the sinθ.

$\large{sin \theta = 4 \times ( - \frac{ \sqrt{17} }{17}) } \\ \large{sin \theta = - \frac{4 \sqrt{17} }{17} }$

Answer

sinθ = -4sqrt(17)/17 or A choice.

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3 years ago

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