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3 years ago

For an angle θ with the point (−5, −12) on its terminating side, what is the value of cosine?

Mathematics

1 answer:

viva [34]3 years ago

8 0

Answer:

option C. $-\frac{5}{13}$

Step-by-step explanation:

we have that

The point (-5,-12) belong to the III quadrant

The value of the cosine is negative

Applying the Pythagoras Theorem

Find the value of the hypotenuse

$h^{2}=5^{2}+12^{2}\\ h^{2} =25+144\\ h^{2}=169\\h=13\ units$

The value of cosine of angle θ is the ratio between the side adjacent to angle θ and the hypotenuse

$cos(\theta)=-\frac{5}{13}$

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What's the answer to this? And how do u do it

andrew-mc [135]

-5n - 3 - 3 > 19
-5n - 6 > 19
+ 6 +6
-5n > 25
divide by -5 on each side
change signs since dividing by negative

N< -5

For graphing on the line, you will create an OPEN circle on -5 and sketch it to the left.

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3 years ago

The number of bees that visit a plant is 600 times the number of years the plant is alive, where t represents the number of year

zavuch27 [327]

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3 years ago

A study indicates that 37% of students have laptops. You randomly sample 30 students. Find the mean and the standard deviation o

Brilliant_brown [7]

Answer:

The mean and the standard deviation of the number of students with laptops are 1.11 and 0.836 respectively.

Step-by-step explanation:

Let X = number of students who have laptops.

The probability of a student having a laptop is, P (X) = p = 0.37.

A random sample of n = 30 students is selected.

The event of a student having a laptop is independent of the other students.

The random variable X follows a Binomial distribution with parameters n and p.

The mean and standard deviation of a binomial random variable X are:

$\mu=np\\\sigma=\sqrt{np(1-p)}$

Compute the mean of the random variable X as follows:

$\mu=np=30\times0.37=1.11$

The mean of the random variable X is 1.11.

Compute the standard deviation of the random variable X as follows:

$\sigma=\sqrt{np(1-p)}=\sqrt{30\times0.37\times(1-0.37)}=\sqrt{0.6993}=0.836$

The standard deviation of the random variable X is 0.836.

5 0

3 years ago

What is FOIL and PEMDAS?

Ugo [173]

FOIL and PEMDAS are both ways to solve mathematical equations.

FOIL
First
Outside
Inside
Last

PEMDAS
Parenthesis
Exponents
Multiplication &
Division
Addition &
Subtraction

FOIL is usually used to solve equations in two sets of parenthesis, for example:
(23+x)(5-4x)

PEMDAS is used to solve multiple-operation equations, such as:
5 x 4 + 6 - 2 x 7

Whew, hope this helped :D

3 0

3 years ago

Read 2 more answers

AB has endpoints at A(-4, 4) and B(5, -1). Find the coordinates (x, y) of the midpoint.

kramer

Answer:

The midpoint is at ( 1/2, 3/2)

Step-by-step explanation:

Midpoint

To find the x coordinate of the midpoint

Add the x coordinates of the endpoints and divide by 2

( -4+5)/2 = 1/2

To find the y coordinate of the midpoint

Add the y coordinates of the endpoints and divide by 2

( 4+-1)/2 = 3/2

The midpoint is at ( 1/2, 3/2)

3 0

1 year ago

Read 2 more answers