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ikadub [295]
1 year ago
10

Given cosθ=√3/3 and sinθ<0. What is the value of sinθ?

Mathematics
1 answer:
KATRIN_1 [288]1 year ago
5 0

\sin^{2} \theta+\cos^{2} \theta=1 \\ \\ \sin^{2} \theta+\left(\frac{\sqrt{3}}{3} \right)^{2}=1 \\ \\ \sin^{2} \theta+\frac{1}{3}=1 \\ \\ \sin^{2} \theta=\frac{2}{3} \\ \\ \theta=-\frac{\sqrt{2}}{\sqrt{3}}=\boxed{-\frac{\sqrt{6}}{3}}

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jarptica [38.1K]

Answer: The slope is 5

Step-by-step explanation:

You can calculate the slope of the line with this fomula:

m=\frac{y_2-y_1}{x_2-x_1}

Given the points (2,3) and (1,-2), you can identify that:

y_2=-2\\y_1=3\\x_2=1\\x_1=2

Now, the final step is to substitute these values into the formula  m=\frac{y_2-y_1}{x_2-x_1}, getting that the slope of this line is:

 m=\frac{-2-3}{1-2}

m=\frac{-5}{-1}\\\\m=5

8 0
3 years ago
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Bogdan [553]
answer: 360

Given:
Machine A Candy Packing
x(minutes)  y(candies)
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10             1200
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Machine B : y = 150x

Find number of candies packed in 12 minutes.

Machine A : 600/5mins = 120 candies per minute
120 * 12 minutes = 1,440 candies

Machine B : y = 150x ⇒ y = 150(12) ⇒ y = 1,800

Machine B: 1,800
Machine A: 1,440
Difference      360

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6 0
3 years ago
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Diamond problem solve it.

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Speed of boat = (6-1.5x) - 2 = 4 - 1.5x
5 0
3 years ago
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