1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Arte-miy333 [17]
3 years ago
6

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

so

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}

You might be interested in
a vase has 6 flowers in it. there are 3 roses, 1/3 are peonies, and the rest are lilies. what fraction of the flowers are lilies
Rudik [331]
Hi there!

We can start off by taking out some key information from this problem.

- 6 flowers in the vase.
- 3 are roses. (3/6)
- 2 are peonies. (2/6)
- 1 is a Lily. (1/6)

By converting all of the flowers to have a common denominator we can clearly see that 1/6 of the flowers are lilies.
4 0
2 years ago
Read 2 more answers
5a + 12d - 19a -11d -a
horsena [70]

Answer:

-15a+d

Step-by-step explanation:

5a-20a+12d-11d

-15a+d

3 0
3 years ago
Read 2 more answers
Find the slope from the table using the slope formula.
mario62 [17]

Answer:

Slope is 2/3

Step-by-step explanation:

What you can do is use the first two coordinates. This would get the formula to look like this:

\frac{4 - 2}{6 - 3}

From here you get ⅔ for the slope.

4 0
2 years ago
What is 4 1/2 pint to quart?
Ivanshal [37]

There are two pints every quarter.

So let's convert pints to quarter

   \frac{4\frac{1}{2} }{2} =\frac{\frac{9}{2} }{2} = \frac{9}{4}

There 4 1/2 pint is to 9/4 quarter.

Hope that helps!

p.s. look at my diagram to help you remember

5 0
1 year ago
Suppose you know that Mr. and Mrs. Vincent have at most eight children. One day you happen to meet two girls who were the Vincen
lianna [129]

Answer:

The number of children are 4 out of which 3 are girls

Step-by-step explanation:

Data provided in the question:

P(Two randomly selected children are girls) = \frac{1}{2}

now,

let the number of children be 'n'

the number of girls be 'x'

thus,

P(Two randomly selected children are girls) = \frac{^xC_2}{^nC_2} = \frac{1}{2}

also,

^nC_r = \frac{n!r!}{(n-r)!}

thus,

\frac{\frac{x!2!}{(x-2)!}}{\frac{n!2!}{(n-2)!}} = \frac{1}{2}

or

\frac{x(x-1)}{n(n-1)}=\frac{1}{2}

or

2x(x-1) = n(n-1)

now

for x = 3 and n = 4

i.e

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

12 = 12

hence, the relation is justified

therefore,

The number of children are 4 out of which 3 are girls

3 0
3 years ago
Other questions:
  • Evaluate for the given values of the variables.
    13·1 answer
  • Jenna is going at a constant rate of 4 miles per hour. It takes her 2 hours to get to her destination. How long would it take to
    15·2 answers
  • Jack knows the surface area of a cylinder and its radius. He wants to find the cylinder's height. He needs to rewrite the formul
    9·2 answers
  • Oliver was counting his spare change. He had 10 dimes and 2 quarters. How many times as many dimes does Oliver have than quarter
    13·1 answer
  • Três quintos dividido por três quartos
    7·2 answers
  • What is the solution to 4+5eX+2 = 11?
    5·1 answer
  • Use the graph to write a linear function that relates y to x.
    5·1 answer
  • On a platter of chicken wings there are mild wings and hot wings. In a representative sample of 10 chicken​ wings, there are 5 m
    5·1 answer
  • In the diagram, which pair of angles are alternate interior angles?
    13·2 answers
  • Evaluate each expression.<br> 8/7 + 4/7
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!