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Zepler [3.9K]
3 years ago
9

Sin 0 = -3/5 and cos 0 > 0. Identify the quadrant of the terminal side of O and find cos 0.

Mathematics
1 answer:
NARA [144]3 years ago
3 0

Answer:

See below.

Step-by-step explanation:

Cos O is positive in the first and 4th quadrants and sin O is negative in the 3rd and 4th quadrants.

So the answer is Quadrant 4.

cos^2 O = 1 - sin^2 O

= 1 - (-3/5)^2

= 16/25

So  cos O  is +√(16/25)

= 4/5.

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Use the substitution method to find the solution to the system of linear equations.
nataly862011 [7]

Answer: answer is d

Step-by-step explanation: input in calculator or set both equal to y and then set them equal to each other

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3 years ago
According to the February 2008 Federal Trade Commission report on consumer fraud and identity theft, 23% of all complaints in 20
Murljashka [212]

Answer:

There is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.  

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 1432

p = 23% = 0.23

Alpha, α = 0.05

Number of theft complaints , x = 321

First, we design the null and the alternate hypothesis  

H_{0}: p = 0.23\\H_A: p < 0.23

This is a one-tailed test.  

Formula:

\hat{p} = \dfrac{x}{n} = \dfrac{321}{1432} =0.2241

z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}

Putting the values, we get,

z = \displaystyle\frac{0.2241-0.23}{\sqrt{\frac{0.23(1-0.23)}{1432}}} = -0.5305

Now, we calculate the p-value from the table.

P-value = 0.298

Since the p-value is greater than the significance level, we fail to reject the null hypothesis and accept the null hypothesis.

Conclusion:

Thus, there is not enough evidence to support the claim that Alaska had a lower proportion of identity theft than 23%.

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3 years ago
F(x)= -3x^3-x^2+x-3 identify the end behavior of each polynomial function
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4 years ago
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Answer:

Step-by-step explanation:

The submarine is underwater for 6 seconds. The submarine hits the water after 1 second and comes back up at the 7th second.

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Kelly was asked to determine whether △KLN is congruent to △MNL. She noted that KL ≅ MN, LM ≅ KN, and that the three pairs of cor
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Answer:

<h2>Kelly is wrong, with this congruent parts, we can conclude that triangles are congruent.</h2>

Step-by-step explanation:

To demonstrate congruent triangles, we need to use the proper postulates. There are at least 5 postulates we can use.

  • Angle-Angle-Side Theorem (AAS theorem).
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In this case, Kelly SAS postulate, because the corresponding sides-angles-sides are congruent, i.e., KL ≅ MN and LM ≅ KN, also, all corresponding angles are congruent.

So, as you can see, only using SAS postulate, the congruency can be demonstrated. (Refer to the image attached to see an example of SAS postulate)

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