The point (-3, 1) is onlthe terminal side of angle O, in standard position. What are
the values of sine, cosine, and tangent of O? Make sure to show all work.

Answers

Answer 1

Answer:

cos(θ) =  -3/√10

sin(θ) =   1/√10

tan(θ) =  -1/3

Step-by-step explanation:

When we have a point (x, y), the angle generated between the positive x-axis and a ray that connects the origin and the point, is defined by:

cos(θ) = x/(√(x^2 + y^2))

sin(θ) = y/(√(x^2 + y^2))

tan(θ) = y/x

Now we have the point (-3, 1), then we have:

x = -3

y = 1

√(x^2 + y^2) = √((-3)^2 + 1^2) = √10

Then we just need to replace these values in the given formulas:

cos(θ) = x/(√(x^2 + y^2)) = -3/√10

sin(θ) = y/(√(x^2 + y^2)) =  1/√10

tan(θ) = y/x = 1/-3 = -1/3


Related Questions

What percent of the values are between 10 and 30? Round to the nearest tenth of a percent if necessary.

Answers

Answer: 33.3%

Step-by-step explanation: I did this on saavas. also for part b the answer is 32.5.

what is the equation for the line?

Answers

Answer:

y=6/5x+8/5

Step-by-step explanation:

find the slope (6/5) you can find this by making a slope triangle between the 2 points.

now, plug in a point to y=6/5x+b

-2=6/5(-3)+b

-2=-18/5+b

-10/5=-18/5+b

b=8/5 (y-int)

so y=6/5x+8/5

The six grade class at Kennedy middle school participated in a fundraiser each day they raise twice as much as the day before on the first day they race $24 how much money did they raise over all five days of the fundraiser

Answers

Answer: E. $744

Step-by-step explanation:

Think of all 5 days and the previous day doubled

So

24

48

96

192

384

All together is $744.

There are 1,024 players in a tennis tournament. In each round, half the players are eliminated. Which function can be used to find the number of players remaining in the tournament at the end of x rounds?

Answers

Answer:

1,024 ÷ by how many number of rounds= x

Answer:

1,024(0.50)^x That is the answer......................................

Events without replacement are independent events.

false

true

Answers

Answer:

True

Step-by-step explanation:

When sampling is done with replacement, then events are considered to be independent, meaning the result of the first pick will not change the probabilities for the second pick. Without replacement: When sampling is done without replacement, each member of a population may be chosen only once.



2. What is the center of dilation and the scale factor of the dilation of ABCD to EFGH?

Answers

Answer:

The center of dilation of ABCD to EFGH is (0, 0), and the scale factor is 4/3

HELP ME ASAP!!! On a scale used on a map, 3/4 inch represents 8 feet. On the map, what is the length of a room with an actual length of 24 feet?



A
4 in.

B[tex]1 \frac{3}{4} [/tex]

C
[tex]4 \ \frac{1}{2} [/tex]

D
[tex]2 \ \frac{1}{4} [/tex]

Answers

Answer:

D. 2 1/4

Step-by-step explanation:

3/4 inch = 8 feet

24 divided by 8 = 3

(meaning you would multiply eight three times in order to get to 24)

So....

3/4 x 3 = 2 1/4

Answer: 2 1/4

Hope this helps :)

Answer: D - 2 1/4”

Step-by-step explanation:

8 feet goes into 24 feet 3 times

Eg. 24/8 = 3

If 3/4” = 8 feet, then 3 x 3/4” = 24 feet

3 x 3/4” = 2 1/4”

Expand to write an equivalent expression. −5(7−2)

Answers

-35+10
If correct please mark as Brainly!

4x-2(x-5)=-8+4x+12 answer plz help #lovedafans

Answers

Answer:

x = 3

Step-by-step explanation:

Answer:

The answer is x = 3

The school that Stefan goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 3 senior citizen tickets and 1 child ticket for a total of $38. The school took in $52 on the second day by selling 3 senior citizen tickets and 2 child tickets. Find the price of a senior citizen ticket and the price of a child ticket. ​

Answers

Answer:

3s + c = 38 3s + 2c = 52

Step-by-step explanation:

Answer: Senior Citizen Ticket = $8, Child Ticket = $12

Step-by-step explanation:

Let's use S for senior tickets, C for child tickets.

3S + 1C = 38

3S + 2C = 52

Find C in terms of S with the first equation:

C = 38 - 3S

Now substitute the above equation for C in our second equation to find S.

3S + 2(38 - 3S) = 52

3S + 76 - 6S = 52

-3S = -24

S = 8

Now plug this value for S back into the first equation:

3(8) + C = 38

C = 12

So S = $8 and C = $12

PLEASE HELP MATH I DON'T GET IT

Answers

I think that y=something on the graph and x= something on the graph

What is the mode of the following set of numbers: 3, 5, 6, 9, 3, 3, 6
A. 5
B. 3
C. 35

Answers

B. 3
3 is the mode because it occurs the most.
The answer is A. 6
Hope this helps.
The mode is difference between the lowest and highest number so the difference between 3 to get to 9 is 6. 6+3 =9.

Use the Law of Cosines to write an expression equivalent to c. Drag the expressions to show what the values of the variables should be in the radical.

Answers

Answer:

[tex] \boxed{\begin{array}{ccc} m = {a}^{2} \\ \hline n = {b}^{2} \\ \hline p = 2ab \\ \hline q = \cos(C) \end{array}}[/tex]

Step-by-step explanation:

recall the formula for law of cosine

[tex] \rm \displaystyle {c}^{} =\sqrt{ {a}^{2} + {b}^{2} - 2ab \cos(C) }[/tex]

thus we acquire

m=a²n=b²p=2abq=Cos(C)

Answer:

Solution given:

m=a²

n=b²

p=2ab

q=Cos(C)

law of cosine

[tex] c = \sqrt{a²+b²−2abcos(C)} [/tex]

which statement is true ? BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST! BRAINLIEST!

Answers

Answer:

[tex]\sqrt{11}[/tex] is between 3 & 4

Step-by-step explanation:

radical 11 is between 3 and 4

Determine side x. Round to the nearest unit. 20 9 12 5

Answers

Answer:

12

Step-by-step explanation:

First, you will have to use trigonometry. Since the side of the triangleis the opposite of the angle 53 and the hypotenuse, you will use sin.

Sin 53 degrees = opposite side / hypotenuse side.

The opposite side is x and the hypotenuse side equals 15.

sin53= x/15

15 ( sin 53 ) =x

x= 11.97953

Round

x=12

Suppose fx) = x? What is the graph of g(x)= x(x)?

Answers

Answer:

1/2x^2

Step-by-step explanation:

f(x)=x^2 so g(x)=1/2x^2

if g(x)=x(x) then the answer is 1/2x^2

use desmos to help u select the correct graph

pay:11.71 per hour
hours:11 hours per week​

Answers

Week = 128.81
Month = 515.24
Year = 6182.88
I believe this is all correct :)

Answer:

$128.81 per week

$515.24 per month

$6182.88 per year

Step-by-step explanation:

[tex]\frac{11.71}{y} :\frac{1}{11}[/tex]

y = 128.81

[tex]\frac{128.81}{y} :\frac{1}{4}[/tex]

y = 515.24

[tex]\frac{515.24}{y}: \frac{1}{12}[/tex]

y = 6182.88

Carmella likes to hike for more than 4 hours but less than 6 hours. She hikes at a speed of 2 miles per hour.
If m is the number of miles Carmella likes to hike, which inequality is true?
A. 0.33 B 2.0 C 4.0 D 6.0 E 8.0

Answers

Answer:

Guys the answer is E. I just took the test.

Step-by-step explanation:

Short answer: Look at the inequalities and plug in either 10 or 8 for m and then you're all set :)

Long Answer:So what you should do first is calculate how long she hikes for and how many mph. It says that she likes the hike for more than 4 hours but less than six. She also hikes at least 2 mph. So if you were ever in first grade you would know that she hikes for at least 5 hours. Now 5 x 2 is 10. Now you can either plug 8.0 into the inequalities or 10 but either way its going to be more than whatever number is first in the inequality but less than 12.

Answer:

E.

Step-by-step explanation:

The volume of a square pyramid with a base length of 12 cm and a height of 10 cm is ___ cubic cm

Answers

Answer:

480 cm³

Step-by-step explanation:

Formula for Pyramid volume = (l*w*x) / 3

we do 12 x 12 x 10 first =

12 x 12 = 144

144 x 10 = 1440

Then divide by 3

1440 / 3 = 480

units = cm³

Answer = 480 cm³

If my answer is incorrect, pls correct me!

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

-Chetan K

Praise put some money into an account paying 4.5% compounded continuously for 10 year
She now has $3567.91 in the account. How much money did she start the account with?

Answers

Answer: [tex]\$2297.47[/tex]

Step-by-step explanation:

Given

Rate of interest [tex]r=4.5\%[/tex]

time period [tex]t=10\ year[/tex]

Amount [tex]A=\$3567.91[/tex]

Amount in compound interest is given by

[tex]\Rightarrow A=P[1+r\%]^t[/tex]

where, [tex]P=\text{Principal}[/tex]

Insert the values

[tex]\Rightarrow 3567.91=P[1+0.045]^{10}\\\\\Rightarrow P=\dfrac{3567.91}{1.5529}\\\\\Rightarrow P=\$2297.47[/tex]

So, Praise starts with [tex]\$2297.47[/tex]

can ace and expert help me

in which number does 7 resent 10 times the value that it respesnts in 167 300​

Answers

Answer:

D

Step-by-step explanation:

repeat

Question :-

In which number does 7 represent 10 times the value that it represents in 167 300.

____________________

Solution :-

Given Information :-

Number ➢ 167 300

To Find :-

In which number does 7 represent 10 times the value that it represents in 167 300.

215,007392,070450,700572,000791,000

Calculation :-

In the given number, we can observe that, the face value of digit 7 is on 'Thousands place'. If multiply 7, 10 times, the face value of digit 7 will shift to it's Left Side by 1 digit, since, this condition is seen in the 4th option provided, hence, option 4. 572,000 is the correct answer.

____________________

Final Answer :-

Option 4. 572,000 is the correct answer

___________________

One number is 2 more than another number. If the product of the two numbers is 35, what are the numbers? Please show the work

Answers

Answer: 5 and 7.

Step-by-step explanation: I’m sorry I don’t know what kind of equation to do but I’ll show how I got the answer if that’s what you mean.

First I made a list of numbers that when multiplied equal 35

Then I went through the list and took out all the options that were not one number being 2 more than the other.

The only option left is 5 x 7 (5*7)

what kind of equation do you want? Like 5*7 = 35 and 5 + 2 = 7?

The numbers are 5 and 7.

What is equation?

A mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.

let the first number be 'x'

another number = x+2

According to question,

x(x+2)= 35

x²+2x-35=0

x²+7x-5x-35=0

x(x+7)-5(x+7)=0

(x-5)(x+7)=0

x= +5, -7

Hence, the numbers are 5 (x) and 7 (x+2).

Learn more about equation here:

https://brainly.com/question/2263981

#SPJ2

Robert made 7 loaves of bread. Each loaf of bread uses of a cup of flour. How many cups of flour did Robert use to make 7 loaves of bread?

Answers

Answer:

7 cups of flower.

Step-by-step explanation:

He made 7 loaves and each loaf calls for 1 cup of flour. 7 times 1=7...I feel like this is so easy.

lets find the answer

Answers

Answer:

-6,3....................

Answer:

(-4,3)

Step-by-step explanation:

expand and simplify
3(x+1)+2(x+2)​

Answers

Answer:

5x+7

Step-by-step explanation:

3x+3+2x+4

3x+2x+3+4

5x+7

plz mark as brainliest

. Solve for x. a) 10 - 1/4x - 7 b) 3 (x + 8 ) = 21

Answers

a) 10 - 1/4x = 7

   1/4x = 7 + 10

           = 17

   x = 17/ (1/4)

b) 3 (x + 8 ) = 21

   x + 8 = 21/3

            = 7

   x = 7 - 8

      = -1

PLEASE SOMEONE HELP AND NO LINKS OR UR GONNA GET REPORTED

Determine the value of x.
A.) 2\sqrt{6}
B.) 6\sqrt{2}
C.) 6\sqrt{3}
D.) 12

Answers

Answer: D) 12

Step-by-step explanation:

As you can see side A is 6 and side B is also 6 so side C must be 12

please help me whit this (if you answer pls show the work)

Answers

Answer:

24 ft

Step-by-step explanation:

Use proportions! The old tent has sides of 10ft, and a base of 15ft. The new tent has sides of 16ft and a base of ____ ft.

So, 10/15 = 16/___. Cross multiple and you get 24ft!

Help me ASAP please!!

Answers

Answer:

If you are asking for the X then the answer would be 7.

Which answer represents the series in sigma notation? −7+(−2)+3+8+13 ∑j=15(5j−12) ∑j=15(−8j+1) ∑j=15−5(15)j−1 ∑j=155j−1

Answers

Answer:

∑j=15(5j−12)

Step-by-step explanation:

For j = 1 up to j = 5

j = 1

(5j - 12) = (5(1) - 12) = 5 - 12 = - 7

j = 2

(5j - 12) = (5(2) - 12) = 10 - 12 = - 2

j = 3

(5j - 12) = (5(3) - 12) = 15 - 12 = 3

j = 4

(5j - 12) = (5(4) - 12) = 20 - 12 = 8

j = 5

(5j - 12) = (5(5) - 12) = 25 - 12 = 13

(-7 + (-2) + 3 + 8 + 13)

Answer:

(5j-12)

Step-by-step explanation:

Other person was right, took the test using the answer they gave.

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