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
iris [78.8K]
3 years ago
15

An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

Answer:

cos Θ = \frac{4}{\sqrt{41} }

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = \sqrt{41}

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = \frac{adjacent}{hypotenuse} = \frac{4}{\sqrt{41} }

You might be interested in
You want to test the claim that the average age of students at Gorka College is greater than the average age of students at Yapo
777dan777 [17]

Answer:

Kindly check explanation

Step-by-step explanation:

The hypothesis :

H0 : μ1 = μ2

H1 : μ1 > μ2

Given :

x1 = 21.1 ; n1 = 53 ; s1 = 1.1

x2 = 20.7 ; n2 = 46 ; s2 = 1.2

The test statistic :

(x1 - x2) / √[(s1²/n1 + s2²/n2)]

(21.1 - 20.7) / √[(1.1²/53 + 1.2²/46)]

0.4 / 0.2326682

Test statistic = 1.719

The degree of freedom using the conservative method :

Comparing :

Degree of freedom = n - 1

Degree of freedom 1 = 53 - 1 = 52

Degree of freedom 2 = 46 - 1 = 45

Smaller degree of freedom is chosen ;

The Pvalue from Test statistic, using df = 45

Pvalue = 0.0462

Pvalue < α ; Hence, there is significant evidence to conclude that average age of Gorka student is higher than Yaphoa.

7 0
3 years ago
Quadratic equations and complex numbers PPEASE ANSWER ASAP
mariarad [96]

When you solve the following equation, solving for the quadratic formula.

The answer is; x=4

Next time pay attention in class.

5 0
3 years ago
Read 2 more answers
Please help me in this question
Alexus [3.1K]

Answer:

3/8

Step-by-step explanation:

the total number of possible results is 4×4=16.

out of these 16 only the results

1 2

1 3

1 4

2 2

2 3

3 2

are desired results. these are 6.

so the probability of a desired result is 6/16 = 3/8

8 0
2 years ago
If pens cost 9 cents each, what equation could be written to calculate the cost, c, of any number of pens, p?
Nadya [2.5K]

Answer:

The total cost (in dollars) of p pens is C = 0.09 p

Step-by-step explanation:

The cost of each pen = 9 cents

Now, 1 cent  = $0.01 cents

⇒ 9 cents  = $0.09

So, the cost of  1 pen = $0.09

The number of pens purchased= p

Let the total cost of p pens = c

Also, the cost of p pens = p x ( Cost of 1 pen)  = p ( $0.09)  = 0.09 p

or, C = 0.09 p

Hence the total cost (in dollars) of p pens is C = 0.09 p.

4 0
3 years ago
How do you simpllify x=41
HACTEHA [7]

Answer:

You have to figure out what x means

Step-by-step explanation:

bc i know math. a liitle bit and like to help.

6 0
3 years ago
Other questions:
  • What is the area of the blue shaded region ?​<br>please help
    9·1 answer
  • A box plot is another name for a histogram, true or false
    8·1 answer
  • A sequence is generated by an=-2n+8. What is the value of the ninth term
    13·1 answer
  • The difference of six and a number is greater then nine
    8·1 answer
  • What is the sum of fifteen and ten?
    14·1 answer
  • Does Microsoft supply needs. wants, or both? Explain.
    5·1 answer
  • SELECT ALL THAT APPLY!!!///// answer ASAP pls
    15·1 answer
  • An airplane covers 94 miles in 6 of an hour.<br> The plane can cover<br> miles in 6 hours.
    7·2 answers
  • find two consecutive even numbers such that the sum of 3 times the smaller and 5 times the larger is 106​
    10·1 answer
  • Find the measure of 4
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!