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.
Answer:
Please double check the question
y = 2√2 is not on the unit circle
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:
brainly.com/question/17972372
Select the equation which represents the equation solved for y.
−20x+5y=35
y=4x+7
y=−4x+7
y=−4x−7
y=4x−7
solve pls brainliest
Answer:
for the first one it 2
3
12
So There Are 3 Dogs In 25 Parks How Many Dogs In Parks Are There So This Is 3×25=? I mean It's Ez
Answer: You are right! Just multiply for your answer!
Step-by-step explanation:
what is the meaning of decimal explain
Answer:
ddecimal is a fraction
Step-by-step explanation:
Oh a decimal is a fraction written in a special form
Does anyone know this?
Answer:
I think 7.6 i remember i had something like this
Step-by-step explanation:
BRAINLIEST TO WHOEVER ANSWERS RIGHT
Answer:
the answer is -1 have a great day!
Step-by-step explanation:
Answer:
its D
D = IStep-by-step explanation:
The powers of i repeat in cycle of 4. For example, here are the first 4:
1: i
2: -1
3: -i
4: 1
If a number is divisible by 4, i to the power of that number would be 1. So, i^20 is 1, but we are multiplying it by i again, so the answer would be 1 * i = i
Got the answer from aklee18oo from brainly give him some credit
Lamis purchased n notebooks. They were 5 dollars each. Write an equation to represent the total cost c that Lamis paid.
8x + 1/3 = 2/3 what is the answer?
Answer:
1/24
Step-by-step explanation:
8x + 1/3 = 2/3
- 1/3 - 1/3
8x = 1/3
8x/8 = (1/3)/8
x = 1/24
The triangles shown below must be congruent. True or False?
Answer:
they are technically congruent due to same angles n same or equal sides
Answer:
A. TrueStep-by-step explanation:
Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.
so your amswer is A. True
William sold half of his comic book collection then purchased 10 more. He now has 24 comic books . How many books did William begin with?
Answer:
28
Step-by-step explanation:
24-10=14
14x2=28
Answer:
willaim had 28 comic books to begin with
Step-by-step explanation:
So we can take 24-10= to see how many comics he had before his total of 24 which :
24-10=14
Then we want to find how many he had in the beging so to reverse division we would use multiplication so we would do 14x2= because a half x a half will equal a whole :
14x2=28
So therefor William started of with 28 comic books
A check for two hundred fifty dollars as a withdrawal:
A check for $250 serves as an instruction to the bank to withdraw that amount from the account holder's balance and provide it to the recipient upon deposit or cashing.
When a check is written for two hundred fifty dollars ($250) as a withdrawal, it means that the individual is requesting a withdrawal of $250 from their account using a check.
The check serves as a formal written order instructing the bank to pay the specified amount, which in this case is $250, to the person or entity named on the check. The account holder will typically write the check and provide it to the recipient as a means of transferring funds.
The recipient can then deposit or cash the check at their bank, and the bank will process the transaction by deducting $250 from the account holder's bank balance and providing the recipient with the requested funds.
for such more question on transaction
https://brainly.com/question/1016861
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Given h(t) = -2(t+ 5)^2 +4, find h(-8).
Answer:
Substitute -8 as x into the equation.
h(-8)=-2(-8+5)^2+4
h(-8)=-2(-3)^2+4
h(-8)=-2(9)+4
h(-8)=-18+4
h(-8)=-14
:)
Calcular la masa que tiene un cuerpo que se le aplica una fuerza que empuja al lado derecho de 230 N y otra fuerza que empuja al lado izquierdo de - 150N. Considerar que la aceleración que adquiere es de 2 m/s2.
Answer:
Calculate the mass of a body that is applied with a force that pushes the right side of 230 N and another force that pushes the left side of - 150N. Consider that the acceleration it acquires is 2 m / s2.
Step-by-step explanation:
230 e dos
I really need help with my question!
Answer:
4
Step-by-step explanation:
because the others are shown wrong in 2 there are 5 tally marks and in 10 there are 6 telly marks
Answer: i just did this and its 4
Step-by-step explanation:
im dum as fudge
indicate which property is illustrated below. 10 x + 11 x=(-10 + 11) x
Answer:
distributive property
Step-by-step explanation:
I ASSUME that you meant to lead the equation with a negative sign.
- 10x + 11x = (-10 + 11)x
PLS HELP WILL MARK BRAINLIEST
plz answer this question fast
ayo is 37 years old and Abdul salami is 6 years old. how many years ago was the product of their ages 96
SOMEONE HELP ME WITH THIS PLS
Answer:
D
Step-by-step explanation:
You add the "columns." The equations are arranged so that like terms are stacked vertically. 3x and 7x are like terms; when you add them, you get 10x.
-y and y are like terms; when you add them, you get 0 (that doesn't appear in the sum).
-5 and 15 are like terms; add them to get 10.
The sum of the two equations is the equation 10x = 10.
) 11. Last week, Raj camned $58. He spent $12 and saved the rest Nlichael earned 583 and Saved $20. Who saved the greater percent of his earnings
A garden supply store spends $750 on an order. They spend $250 on potting supplies
and buy plants that cost $25 each. How many plants do they buy?
Answer:
They bought 20 plants
Step-by-step explanation:
If you minus the total 750- 250 of potting supplies it leaves you with 500.
Divide 500/ 25 = 20
Answer:
20 plants
Step-by-step explanation:
500 divided by 25 = 20
have a nice day
A bullet train can travel at 170 miles per hour. Will a graph representing distance in miles compared to time in hours show a proportional relationship? Explain
Answer:
yes
Step-by-step explanation:
the relationship between the hours and miles traveled is a direct relationship therefor would be able to be graphed as a linear function.
The expression 13x + 5 represents the number of marbles you have after purchasing 13 bags of marbles.
What does the term 13x represent?
What does 5 represent?
What does x represent
19+0.12x=0.16x
This whole entire unit is pretty simple, but apparently my brain won't think.
Could you please help?
Answer:
0.04x = 19
x = 475
Step-by-step explanation:
19 + 0.12x = 0.16x
Take away 0.12x from both sides
19 = 0.04x
Divide 19 by 0.04 to find x
x = 475
Answer:
475
Step-by-step explanation:
First, you have to simplify the equation by moving all the like terms to one side of the equal sign.
This entails the taking of 0.12x to the right side of the equal sign.
Remember, when we take anything over the equal sign if it was a positive sign like in this case, it becomes a negative one and the opposite is true if the sign was negative.
So we have
19=0.16x - 0.12x
We then simplify further and get the equation
19=0.04x
To obtain the true value of x, we divide both sides of the equation by 0.04x as follows:
19/0.04=0.04x/0.04
We then find that
x= 475
1. Mark each of the following graphs as (a) a function, but not one-to-one, (b) one-to-one function, or (c) not a function. In each case, explain how you know. (1 point each)
Answer:
(a) a function, but not one-to-one
Step-by-step explanation:
The graph is of a function if it passes the vertical line test: a vertical line intersects the graph in at most 1 point.
The function is one-to-one if it passes the horizontal line test: a horizontal line intersects the graph in at most 1 point.
__
Here, the graph consists of a series of non-overlapping horizontal lines. It passes the vertical line test (is a function), but a horizontal line can intersect the graph in an infinite number of points (is not one-to-one).
The graph is a function, but not one-to-one.
For the student council meeting after school, Mr. Aggie brought 7 loaves of homemade raisin bread. Each loaf was cut into 20 equal pieces. The sixth grade students ate 1 whole loaf and 4 slices of raisin bread. The seventh grade students ate 9 slices of raisin bread. The eighth grade students ate 6 slices of raisin bread. Which expression below can be used to show the amount of raisin bread eaten by the student council members?
Answer:
proportion of ratio will be used
Answer:
C. 1 4/10 + 9/10 + 6/10
got it right
Please answer number 8
Answer:
d q knows
Step-by-step explanation:
sory need points
What would the answer be
Answer:
B.
Step-by-step explanation:
process of elimination. the red dot is not a 1/4 of the number of lines, so it cant be 12.25, 13.625 is impossible because it has a value less than 13, and 12.625 is impossible as well because it has a value less than 12.5 therefore 12.375 is the best answer, and the only correct answer
Factorise
x2 + 11x + 28
Answer:
[tex]\huge\boxed{(x+7)(x+4)}[/tex]
Step-by-step explanation:
To factor a polynomial expression with a degree of 2, simply look at the second and last term (11x and 28). Discard the x and you are left with 11 and 28.
To factor the equation, simply find two numbers that add to 11, and multiply to 28, 4 and 7. Then, simply use those two numbers to make the terms.
Hope it helps :) and let me know if you want me to elaborate.