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3 years ago

If sec theta = 5/3 and the terminal point determined by theta is in quadrant 4, then:

Mathematics

2 answers:

timama [110]3 years ago

5 0

Answer:

A. csc 0 = -5/4 or B. cos 0 = 3/5

Juliette [100K]3 years ago

4 0

Answer:

B or A

Step-by-step explanation:

sec(theta) = 1/cos(theta)

cos(theta) = adjacent side / hypotenuse.

The csc(theta), the sin(theta) and the tan(theta) in quad 4 are all minus

Since the cos(theta) is positive in quad 4, B is going to be the answer.

The value for sin(theta) should be sin(theta) = - 4/5 not 2/5

Tan(theta) = - 4/3

Note: 4 is found by using the Pythagorean Theorem because the trigonometric functions are all defined by the sides of a right triangle.

a^2 + b^2 = c^2

a = the adjacent side = 3

b = the opposite side = b

c = the hypotenuse = 5

3^2 + b^2 = 5^2

9 + b^2 = 25

b^2 = 16

b = 4

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Which of the following shows that polynomials are closed under subtraction when polynomial x + 5 is subtracted from 3x2 + 2x − 6

Art [367]

For this case we have the following polynomials:
$P = 3x ^ 2 + 2x - 6

Q = x + 5$
By subtracting both polynomials we have:
$P - Q = (3x ^ 2 + 2x - 6) - (x + 5)
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What we must do is subtract terms of the same degree.
We have then:
$P - Q = 3x ^ 2 + (2x - x) + (-6 - 5)

P - Q = 3x ^ 2 + x - 11$
Answer:
$3x ^ 2 + x - 11$ will be a polynomial

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3 years ago

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lorasvet [3.4K]

Answer:

1).B

2).A

3).D

4).B

5).C

6).D

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9).C

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Step-by-step explanation:

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3 years ago

What is the slope of the line that passes through the points (0,6) and (4,-1)

wlad13 [49]

To find the slope between the points, you would go through this process
(-1-6)/(4-0)
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3 years ago

Alexander is building a rectangular pen in his backyard for his dog. The pen will have a length of 13 feet and a width of 2x fee

Drupady [299]

4x+26

Step-by-step explanation:

to buy fencing, you need to find the perimeter of the pen. The perimeter is found by adding all sides together.

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3 years ago

A car insurance company has determined that 8% of all drivers were involved in a car accident last year. Among the 15 drivers li

svetlana [45]

Answer:

There is an 11.3% probability of getting 3 or more who were involved in a car accident last year.

Step-by-step explanation:

For each driver surveyed, there are only two possible outcomes. Either they were involved in a car accident last year, or they were not. This means that we solve this problem using binomial probability concepts.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

$P(X = x) = C_{n,x}.\pi^{x}.(1-\pi)^{n-x}$

In which $C_{n,x}$ is the number of different combinatios of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

And $\pi$ is the probability of X happening.

In this problem

15 drivers are randomly selected, so $n = 15$ .

A success consists in finding a driver that was involved in an accident. A car insurance company has determined that 8% of all drivers were involved in a car accident last year. This means that $\pi = 0.08$ .

What is the probability of getting 3 or more who were involved in a car accident last year?

This is $P(X \geq 3)$ .

Either less than 3 were involved in a car accident, or 3 or more were. Each one has it's probabilities. The sum of these probabilities is decimal 1. So:

$P(X < 3) + P(X \geq 3) = 1$