If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2, what is the exact measure of θ? Give your answer in radians.

Answers

Answer 1

Answer:

Please double check the question

y = 2√2 is not on the unit circle

If The Terminal Side Of Angle Passes Through A Point On The Unit Circle In The First Quadrant Where Y=22,
Answer 2

The exact measure of the angle is 45°. If the terminal side of angle θ passes through a point on the unit circle in the first quadrant where y=2√2,

How to get the angle?

A Unit circle is defined as a circle having a radius of 1 unit and having its center at the origin.

We know that the terminal side passes through a point of the form (√2/2, y).

Notice that the point is on the unit circle, so its module must be equal to 1, so we can write:

[tex]1=\sqrt{(\dfrac{\sqrt{2}}{2})^2+y^2}[/tex]

[tex]1^2=\dfrac{2}{4}+y^2[/tex]

[tex]1-\dfrac{1}{2}=y^2[/tex]

[tex]Y=\dfrac{1}{\sqrt{2}}[/tex]

We know that y is positive because the point is on the first quadrant.

Now, we know that our point is:

(√2/2, 1/√2)

And we can rewrite:

√2/2 = 1/√2

So the point is:

( 1/√2,  1/√2)

Finally, remember that a point (x, y), the angle that represents it is given by:

θ = Atan(y/x).

Then in this case, we have:

θ = Atan(1/√2/1/√2) = Atan(1) = 45°

If you want to learn more about angles, you can read:

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Related Questions

Evaluate this function: h(t) = |t+2| + 3; Find h(6)

Answers

Answer:

Step-by-step explanation:

h(6) = |6 + 2| + 3 = |8| + 3 = 8 + 3 = 11

Harley has 60 beads. There are 11 beads that are NOT round. The rest are round. How many round beads does Michelle have?
HEEELPPP ASAP PLEASE

Answers

Answer:

49 round beds

Step-by-step explanation:

60 beds in total= 11 not round beds +?

-11 not round beds=--11 not round beds=?

49 round beds=49 round beds

That's the best way I could explain it.

the indicated probabilities using the geometric​ distribution, the Poisson​ distribution, or the binomial distribution. Then determine if the events are unusual. If​ convenient, use the appropriate probability table or technology to find the probabilities. The mean number of births per minute in a country in a recent year was about seven. Find the probability that the number of births in any given minute is​ (a) exactly six​, ​(b) at least six​, and​ (c) more than six. ​(a) P(exactly six​)= enter your response here ​(Round to four decimal places as​ needed.)

Answers

Using the Poisson distribution, it is found that the probabilities are:

a) 0.149

b) 0.6993

c) 0.5503

We are given only the mean, hence, the Poisson distribution is used.

In a Poisson distribution, the probability that X represents the number of successes of a random variable is given by:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

The parameters are:

x is the number of successes e = 2.71828 is the Euler number [tex]\mu[/tex] is the mean in the given interval.

The mean is of 7 births per minute, hence [tex]\mu = 7[/tex].

Item a:

The probability is P(X = 6), hence:

[tex]P(X = x) = \frac{e^{-\mu}\mu^{x}}{(x)!}[/tex]

[tex]P(X = 6) = \frac{e^{-7}(7)^{6}}{(6)!} = 0.149[/tex]

Item b:

This probability is:

[tex]P(X \geq 6) = 1 - P(X < 6)[/tex]

In which:

[tex]P(X < 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5)[/tex]

Following the logic used in item a to find each probability, we have that [tex]P(X < 6) = 0.3007[/tex], hence:

[tex]P(X \geq 6) = 1 - P(X < 6) = 1 - 0.3007 = 0.6993[/tex]

Item c:

This probability is:

[tex]P(X > 6) = 1 - P(X \leq 6)[/tex]

[tex]P(X \leq 6) = P(X = 0) + P(X = 1) + P(X = 2) + P(X = 3) + P(X = 4) + P(X = 5) + P(X = 6)[/tex]

We have that [tex]P(X \leq 6) = 0.4497[/tex], hence:

[tex]P(X > 6) = 1 - P(X \leq 6) = 1 - 0.4497 = 0.5503[/tex]

A similar problem is given at https://brainly.com/question/16912674

A large grouper can weight 1/4 ton. how much does a large grouper weight to the nearest pound. [ please help ]

Answers

Answer:

500 pounds

Step-by-step explanation:

Step-by-step explanation:

To do this divide 2000 by 4.This will give you around 500.


Triangle abc is similar to triangles def ghi and jkl the scale factors for the dilations that show triangle abc is similar to each triangle are in the table

Find the side lengths of triangles def ghi and jkl record them in the table

Answers

DEF 8 10 14
GHI 12 15 21
JKL 2 5/2 7/2

megan feeds her dog 1/2 cup of food each morning and each evening. how much food does she feed him in a 7 day week

Answers

Answer:

7 cups

Step-by-step explanation:

1/2 * 2 times per day * 7 days per week = 7

can someone help me ?
Which of the following are true?
3^6 x 3^-3 = 27
3^3 x 3^-6 = 1/27
3^2 x 3^1 = 27
3^4 x 3^-1 = 1/27

Answers

Answer:

i think that all of them EXCEPT the last one are correct. Explained below

HELP WITH PART C
Lionfish are considered an invasive species, with an annual growth rate of 65%. A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

Part C: If scientists remove 1,300 fish per year from the bay after the first year, what is the recursive equation for f (n)? Show all necessary math work.

So I know that the equation would be
[tex]f(n) = (f_{n-1} )(r)[/tex]
Where f(n) is the number of years but I am confused on how to fill out the rest. Any help would be appreciated. Thank you.

Answers

The recursive equation for f(n) will be f(n) = 4242.42(1.65)ⁿ - 1300n.

What is an exponent?

Let Consider the function:

y = a (1 ± r) ˣ

Where x is the number of times this growth/decay occurs,

a = initial amount, and r = fraction which this growth/decay occurs.

Lionfish are considered an invasive species, with an annual growth rate of 65%.

Then the equation will be

f(n) = P(1.65)ⁿ

P = initial population

A scientist estimates there are 7,000 lionfish in a certain bay after the first year.

7000 = P(1.65)

P = 4242.42

Then the equation will be,

f(n) = 4242.42(1.65)ⁿ

If scientists remove 1,300 fish per year from the bay after the first year.

Then the recursive equation for f(n) will be,

f(n) = 4242.42(1.65)ⁿ - 1300n

Learn More about the exponent link is given below.

brainly.com/question/5497425

#SPJ2

tisha and her academic team are working

Answers

Answer:b equals T minus a minus c minus d all over 3 ⇒ 3rd answer

Step-by-step explanation:

- Tisha and her academic team have had three local matches

# Assume that the points of the local matches are a , c , d

- They will attend a district match

- District match points count for three times the number of points

 than local matches do

# Assume that the points of the district match is b

- T is the total points they will earned in the four matches

∵ The points in the local matches are a , c , d

∵ The point in district mach is 3b

∴ T = a + c + d + 3b

* Lets find b in terms of a , c , d , T

∵ T = a + c + d + 3b

- Subtract a from both sides

∴ T - a = c + d + 3b

- Subtract c from both sides

∴ T - a - c = d + 3b

- Subtract d from both sides

∴ T - a - c - d = 3b

- Divide both sides by 3

∴  

∴ b equals T minus a minus c minus d all over 3


Part A
Triangle ABC is reflected across the
X-axis to form triangle A'B'C'. What are
the coordinates of C after the
reflection? (Draw the image across the
Taxis)
Do
76
A. (-6,4)
B. (3,-2)
C. (4, -6)
D. (6,-4)

Answers

Answer:

D) (6, -4)

Step-by-step explanation:

pt C has coordinates of (6,4)

if you reflect that point across the x-axis the x-value remains the same and the y-value continues to be 4 units from the x-axis, but below it instead of above it

Plz help me well mark brainliest only if u are correct!

Answers

Answer:

B

Step-by-step explanation:

Since x is being multiplied by -4/5, you need to multiply both sides of the equation by the reciprocal of -4/5 which -5/4.

Answer: B

George read 72% of a book. If he reads 270 pages how many pages are there in the book?

Answers

Answer:

375 pages

Step-by-step explanation:

270 = 72%

=> 270/72 = 72/72

=> 3.75 = 1%

=> Number of Book pages = 375

Hoped this helped.

A child’s ladder is made of 2 sections. Each section is 3/4 meters. How long is the ladder when all 2 sections are extended to make
one ladder?

Answers

Answer:

as a mixed fraction it would be 1 2/4 and as an improper fraction it would be 6/4

Step-by-step explanation:

HELP ME OUT PLEASE!!!

Which equation matches the function described in the table?

A) y = 4x

B) y = x + 1

C) y = x + 5

D) y = 4x - 1​

Answers

Answer:

D) y= 4x - 1

Step-by-step explanation:

We are basically trying to see which of the equations provided are true on both sides of the equal sign when you plug in the x and y values.

Let's start!

Choice A:

  plug in 0 for x and -1 for y

-1 = 4(0)

And you are left with...

-1 = 0

This equation is false! Therefore it does not match the function in the table

Choice B:

   plug in the values again

-1 = 0 + 1

-1 = 1

False!

Choice C:

-1 = 0 + 5

-1 = 5

False!

Lastly...Choice D:

-1 = 4(0) -1

Multiply 4 and 0 which is 0, so you are left with...

-1 = -1

This equation is true!!

So your answer is D

Hope this helps :D

Help please i need to know this answer

Answers

Answer:

976

SA=2(S1)+2(S2)+S3

S1=14*24/2

S1=168

S2=25*10

S2=250

S3=14*10

S3=140

SA=2(168)+2(250)+140

SA=976 cm

what is 6/10 plus 4/10

Answers

Answer:

1

Explanation:

[tex] \frac{6}{10} + \frac{4}{10} [/tex]

By taking LCM

We get

[tex] \frac{6 + 4}{10} = \frac{10}{10} = 1[/tex]

Answer:

The answer is 10/10 or just 1.

Step-by-step explanation:

regal furniture company allocates its indirect salaries of $22,500 on the basis of sales. Determine the indirect salaries allocated to Departments 1 and 2 using the following information.

Answers

Answer:

$15750 and $6750

Step-by-step explanation:

Revenue share of Dept. 1:

182000/260000*100% = 70%

Revenue share of Dept. 2:

100% - 70% = 30%

Allocate the indirect salary with same ratio.

Dept. 1:

22500*70/100 = 15750

Dept. 2:

22500 - 15750 = 6750

Rewrite each equation in standard form.

4 and 5 only

Answers

Answer:

4) 2=4x-3y

5) 51=21x-3y

Step-by-step explanation:

I gave it my best shot, I used fraction busters to cancel out the fractions and then I used simple math and distributive property. Hope it helps.

Sarah had a party and ordered pizzas for everyone to share. If she bought 5 pizzas for $62.50, how much did each pizza cost? 12.50,312.50,13.50,15.62

Answers

Answer:

12.50

Step-by-step explanation:

12.50

david has x nickels and y dimes

Answers

You have to find out what x and y our first

A runner can finish 3 miles in 24 minutes. If they can maintain that pace, how far could they run in 40 minutes?

Answers

Answer:

4.85 mailes can be running for runners

What is 11% of 96 students

Answers

Answer:

8.7

Step-by-step explanation:

8.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.78.7

How do you find out if angle A is a right angle?

Answers

Answer:

Calculate the distance of AB, AC and BC. Then use the pythagorean theorem to see if AB^2 + AC^2 = BC^2

If it does, angle A is a right angle.

1.5 - x
0.4 = - 7.75

Answers

Answer:−0.6

Step-by-step explanation:

(-1).3/5=−0.6

Which equation has the correct sign on the product?
a. 27(-5)=-135
b. 22 x 4= -88
c. (-4)(-4)= -16
d. (-61)(3)= 183

Answers

Answer: a.

Would appreciate brainly <3

Based on the table below, find the input and output values of the function.

Answers

Answer:

the inputs are: 0,1,2,8,12

the outputs are: 19,9,7,16,17

(Put them in order if needed)

**inputs are x values and outputs are the y values**

please help.......,................​

Answers

Answer:

8×1=8+64=72

Step-by-step explanation:

there is your answer are you happy now

A wading pool containing 100 gallons of water is leaking at a rate of 5 gallons per minute. At this rate, it will be empty in 20 minutes.

Answers

100, 95, 90, 85, 80, 0

PLEASE HELP BRAINLEST TO WINNER!!!!!!!
The coordinates of a point on a coordinate grid are (−1, 5). The point is reflected across the x-axis to obtain a new point. The coordinates of the reflected point are

(1, −5)
(−1, 5)
(1, 5)
(−1, −5)

Answers

(-1, -5)

x-axis is to flip the y - coordinates

y-axis is to flip the x - coordinates

I need help! Does anyone understand?

Answers

Answer:

the answer should be G or H

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