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Natali [406]
4 years ago
15

If cos -105º = -0.26 and csc -105º = -1.03, then cos 105º = and csc 105º = .

Mathematics
1 answer:
andreyandreev [35.5K]4 years ago
3 0

Answer:

cos (105°) = - 2.6

csc (105°) = 1.03

Step-by-step explanation:

Given that cos (-105°) = - 0.26 {The negative sign is due to the angle - 105° lies in the third quadrant where cos value is negative}

Again, given that csc (- 105°) = - 1.03 {{The negative sign is due to the angle - 105° lies in the third quadrant where csc value is negative}

Now, cos (105°) = - 2.6, because 105° lies in the second quadrant and here cos value is negative.

And csc (105°) = 1.03, because 105° lies in the second quadrant and here csc value is positive. (Answer)

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Answer:

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Step-by-step explanation:

In order to find these, you need to factor by splitting. For this, we separate out the two halves of the equation and pull out the greatest common factor of each. Let's start with the front end.

r^3 + 4r^2

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Now the second half.

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Since what is left in the parenthesis are exactly the same, we can use that parenthesis next to one with what we pulled out.

(r^2 - 25)(r + 4)

And we can further factor the first parenthesis using the difference of two squares

(r^2 - 25)(r + 4)

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Now that we are fully factored, set each parenthesis equal to 0 and solve for x.

r + 5 = 0

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Suppose 40% of the students in a university are baseball players. If a sample of 781 students is selected, what is the probabili
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Answer:

P(p>0.43) = 0.0436

Step-by-step explanation:

Given

p = 40\% -- proportion of baseball players

n = 781 --- selected sample

Required

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First, calculate the z score using:

Z = \frac{\^{p}-p}{\sqrt{\frac{p(1-p)}{n}}}

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Convert % to decimal

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *(1 - 0.40)}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.40 *0.60}{781}}}

Z = \frac{0.43-0.40}{\sqrt{\frac{0.24}{781}}}

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