Let (10, 24) be a point on the terminal side of an angle θ in standard position. evaluate the six trigonometric function of θ.

Sin,cos,tan,csc, sec, cot??

Answers

Answer 1

Step-by-step explanation:

x=10

y=24

r=√10²+24²=√100+576=√676=26

sin = y/r = 24/26

cos = x/r =10/26

tan=y/x = 24/10

csc = r/y=26/24

sec= r/x = 26/10

tan = x/y = 10/24


Related Questions

Please help I'm failing

Answers

Answer:

Unit rate!

Step-by-step explanation:

A unit rate is a rate that has a denominator of 1!

~ LadyBrain

does anyone know this?

Answers

Answer:

Hello! answer: a = 24

Step-by-step explanation:

30 × 30 = 900 18 × 18 = 324 900 - 324 = 576 24 × 24 = 576 therefore a = 24 Hope that helps!

Selecting two marbles from a bag containing the numbers 2,4,6,8,10,12 (with replacement) what is the probability of selecting two numbers less than 10 ?

Answers

Given:

A bag containing the numbers 2,4,6,8,10,12.

To find:

The probability of selecting two numbers less than 10.

Solution:

We have,

Total numbers = 6

Numbers less than 10 are 2,4,6,8.

Numbers less than 10 = 4

Probability of getting a number less than 10 is:

[tex]P(\text{Less than 10})=\dfrac{\text{Numbers less than 10}}{\text{Total numbers}}[/tex]

[tex]P(\text{Less than 10})=\dfrac{4}{6}[/tex]

[tex]P(\text{Less than 10})=\dfrac{2}{3}[/tex]

We select the second number with replacement. So, the probability of second draw is same as the probability for first draw.

Probability of selecting two numbers less than 10 is:

[tex]\text{Required probability}=P(\text{Less than 10})\times P(\text{Less than 10})[/tex]

[tex]\text{Required probability}=\dfrac{2}{3}\times \dfrac{2}{3}[/tex]

[tex]\text{Required probability}=\dfrac{4}{9}[/tex]

Therefore, the probability of selecting two numbers less than 10 is [tex]\dfrac{4}{9}[/tex].

2√3+4√18 in simplest radical form

Answers

Answer:

[tex]2\sqrt{3} + 12\sqrt{2}[/tex]

Step-by-step explanation:

Simplify each term.

will mark brainliest


The measure of angle P is ___ degrees, rounded to the nearest hundredth.

Answers

Answer:

53°

Step-by-step explanation:

Use sine cosine or tangent (SOHCAHTOA). For this example I'll use sine.

For sine you'd use the equation sin(x)=[tex]\frac{opp}{hyp}[/tex] where x is the missing angle measure

the opposite side from x is 45 cm and the hypotenuse is 53 cm

sin(x)=[tex]\frac{45}{53}[/tex]

then rearrange the equation like this x=[tex]sin^{-1}[/tex]([tex]\frac{45}{53}[/tex])

most graphing calculators should solve it from there if you plug it in, hope this helps! :)

Add my Discord so we can be besties: BeepBoop #0214 12-14 only please!!​

Answers

Answer: okay sir

Step-by-step explanation:

Find the missing length

Answers

Answer:

Last one

Step-by-step explanation:

I need the answer pls

Answers

Answer:

s

Step-by-step explanation:

sdd

Answer pleasseee, and explain how you got it.

Answers

Answer:

7.2

Step-by-step explanation:

6^2+4^2=c^2

36+16=c^2

52=c^2

x=7.2


PLZ IN NEED OF HELP!!

Answers

36262527273383762828 there

*quickest correct answer gets brainlyest*
Write in standard form (the number) 6.16 x 10^4
61600
6160
6160.000
6160000

Answers

Answer:

[tex]61600[/tex]

Step-by-step explanation:

[tex]10^4\\\\10*10*10*10\\\\100*100\\\\10000\\\\\\10000*6.16\\\\61600[/tex]

please help me pleaseeee

Answers

11 minutes or 10 minutes

Answer:

First, we can find the least common denominator for 8 and 3 which is 24.

5/8 = 15/24

1/3 = 8/24  

Then we can divide 15/24 by 8/24 which is 2 1/4.

If we then do 16 divided by 2 1/4 we get 7 1/9

Answer = 7 1/9

Step-by-step explanation:

Which function shown below has the greater rate of change? Explain. (Be sure to include the
rate of change for each in your explanation).

Answers

Answer:

Function 1 has a greater rate of change.

Step-by-step explanation:

Function 1 has a rate of change of 3 because 3x is the slope of the line.

Function 2 has a rate of change of 1.5, because when you use rise/run, you get a slope of 3/2.

Function 3 has a rate of change of 2.  You use the formula (y2 - y1) / (x2 - x1) to find the slope. I used (0,0) and (1,2). When you plug in 2 for y2, 1 for x2, and 0 for y1 and 0 for x1, you get (2-0) / (1-0) which is 2/1. That equals a slope of 2.

plz help its timed!! will give brainliest

Answers

Answer:

x = 7

Hope this helps!-Finny

please check screenshot

Answers

Answer:

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

Step-by-step explanation:

The domain is the set containing all the x-coordinates, and the range is the set containing all the y-coordinates.

Domain: {-2, -1, 0, 1, 2, 3}

Range: {-5, -3, -1, 1, 3, 5}

solve the following :
7+2x/3= 5
and
3x+4/2= 9.5

Answers

Answer:

x= 4

x= 5

Step-by-step explanation:

7 + 2(4)/ 3 = 5

7 + 2(4)/3 = 5

7+8/3 = 5

15/3 = 5

3(5) +4/ 2 = 9.5

15+4/2 = 9.5

19/2 = 9.5

The person from above me is correct. Thanks for the points btw. Ask me if u need any help

What is the surface area of a cereal box with a height of 10 inches, a width of 4 ½ inches, and a length of 7 inches?

Answers

Answer:

Surface area of a box = 293 inches ²

Step-by-step explanation:

Surface area of a box = 2(lw + lh + hw)

Where,

l = length = 7 inches

w =width = 4 1/2 inches

h = height = 10 inches

Surface area of a box = 2(lw + lh + hw)

= 2(7*4.5 + 7*10 + 10*4.5)

= 2(31.5 + 70 + 45)

= 2(146.5)

= 293 inches ²

Surface area of a box = 293 inches ²

if m1=35° and m2=75°, what is m3?​

Answers

Answer:

m3 should be 70°

all internal angles of a triangle add up to 180

180-35-75 = 70

Answer:

All angles of a triangle add up to 180°.

there m1+m2+m3=180°

35+75+m3=180

110°+m3=180°

m3=180°-110°

m3=70°

Answer is A.

Solve the equation for x.​

Answers

Answer:

-110

Step-by-step explanation:

[tex]-\frac{x}{10} =11[/tex]

-x=11×10=110

x=-110

Plz help me:)!!!✌︎('ω')✌︎

Answers

The answer to your problem is C

The theater sells two types of tickets: adult tickets for $17 and child tickets for $14.
Last night, the theater sold a total of 238 tickets for a total of $3554. How many adult tickets did the theater sell last night?

Answers

Answer:

74 adult tickets

Step-by-step explanation:

Create a system of equations where a is the number of adult tickets and c is the number of child tickets:

a + c = 238

17a + 14c = 3554

Solve by elimination by multiplying the top equation by -14:

-14a - 14c = -3332

17a + 14c = 3554

Add these together, and solve for a:

3a = 222

a = 74

So, 74 adult tickets were sold last night

A class has 12 boys and 16 girls. The teacher needs to pick two volunteers. What is the probability that she chooses a girl given that she chose a boy first? All answers should be given as a fraction in simplest form!
Any help is appreciated!

Answers

Answer:

16/27

Step-by-step explanation:

12 boys and 16 girls

She already chose a boy so now there are (11+16) = 27 possible outcomes

There are 16 favorable outcomes(girl)

so the fraction is 16/27

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

WILL GIVE BRAINLIEST!!

A bookstore costs $90 a day to keep open, and it spends $12 for each book that it sells. If each book sells for $18, what is the break-even point for this bookstore?
A. n = 12
B. n = 18
C. n = 15
D. n = 16

Answers

Answer:

Total Cost in a day is . Profit function is . And the revenue function is . In a day, bookstore must sell at least 15 books, because of 6n-90=0, in order to make profit.

Step-by-step explanation:

-90

The break-even point for this bookstore is 15, i.e. correct answer is,

C. n = 15.

Here, we have,

given that,

A bookstore costs $90 a day to keep open,

and it spends $12 for each book that it sells.

If each book sells for $18,

now, we know that,

Breakeven quantity = fixed cost / price – variable cost per unit

now, we have,

$90 / (18 - 12)

=$90 / $6

= 15

so, n = 15

Hence, The break-even point for this bookstore is 15, i.e. correct answer is, C. n = 15.

To learn more about break even, please check: brainly.com/question/17960037

#SPJ7

Which expression represents a rational number?

Answers

Answer:

C

Step-by-step explanation:

2/7+sqrt121 is just 2/7+11.

This is rational.

Answer:

2/7 + sqrt 121

Step-by-step explanation:

the square root of 121 is a whole number - 11, which is rational and makes the equation rational

The sum of 9 times a number and 7 equals 2 .

Answers

Answer:

Hey mate.......

Step-by-step explanation:

This is ur answer.....

9x + 7 = 2

Hope it helps!

Brainliest pls!

Follow me! :)

Plz solve this question

Answers

Answer:

first one

Step-by-step explanation:

and is this a test?

Beverly has started her own company selling posters. Her upfront cost to start the business was $660. She sells each poster for $12. When will Beverly break free? (When will her profit be 0)

Answers

Answer:

she needs to sell 55 posters

Step-by-step explanation:

660/12

The football team has a total of 50 jerseys. There are 20 medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:40%

Step-by-step explanation:20 divided by 50 is 0.4 then multiply that by 100 and get 40

Answer:

Well the equation for this would 50*.20 = ...

The first half of the answer would be 10.

BUT!

You need to subtract 10 from 50.

50-10 = 40!

There you go.

Step-by-step explanation:

Which equation represents the word sentence shown below?

The quotient of a number band 0.3 equals negative 10.

Answers

Answer:

where are the equations?

Step-by-step explanation:

tell me and I will edit my answer to answer ur question

Answer:

Step-by-step explanation:

Luther bought a juice box shaped like a rectangular prism. The juice box is 4 inches tall, 3 inches wide, and 1.5 inches deep. Each cubic inch of the juice box holds 0.55 fluid ounces of strawberry-kiwi punch.
How many fluid ounces of punch does the juice box hold?

Answers

L*W*H gets you 18 cubic inches and is each holds 0.55 fluid ounces then that gets you a total of 9.9 fluid ounces
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