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:
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what will the base b be in log 1000 = 3 make this true
Step-by-step explanation:
the base b will be 10.
because if base is not provided it means 10.
therefore if you write it in exponential form the answer comes out to be 10³=1000. therefore, 10.
hope this helps you.
Find the product. Simplify your answer.
(4z+4)(z+4)
just letting you know that the variable is x on here thats just what happened it is the right answer though
2/3x + 7 = -1/5x + 3
if there is any doubt leave a comment
Some students have a goal of collecting 200 leaves for a science
project. What does 0% of the goal mean in this situation? What does 100% mean?
Answer:
0% is none of the leaves and 100% is collecting all of them
Plz help I need help
Avery read 1.75 pages in to of an hour. At what rate, in pages per hour, did she read?
On the double number line below, fill in the given values, then use multiplication t
find the missing value. Enter your answers as fractions, whole numbers, or decimals.
pages
o
O
hours
Enter your final answer as a whole number or decimal.
Answer:
10.5? sorry if it doesnt work
Step-by-step explanation:
Find the slope of the line that contains the points (-9, -3) and (-19, -3).
Answer:
Slope (m) = 0
Step-by-step explanation:
We will use this formula to find the slope⤵⤵⤵
[tex] \frac{y _{2} - y _{1} }{x _{2} - x _{1} } [/tex]
(Sorry if it's a bit small btw)
Now we plug in the values accordingly:
-3 - (-3) = -3 + 3 = 0
-19 - (-9) = -19 + 9 = -10
Slope = 0/-10
So we have 0/-10, which means our slope is actually just 0.
(This also means that the line on the graph will be horizontal.)
Hope this helps you :)
PLEASEE HELPP I WILL GIVE BRAINLIEST
Answer:
p=0.4
Step-by-step explanation:
6(p+2.25)=15.9
6p+13.5=15.9
6p=2.4
p=0.4
4/5 - 1/2 plz help i neeeeeeeeeed to know plz plz plz plz
Answer:
3/10
Step-by-step explanation:
Find a common denominator for both fractions.
4/5 - 1/2 = 8/10 - 5/10
which inequality is true when the value of H is -14 I'ma post a picture
Answer:
h + 10 > - 9.5 is the correct answer
given: AC is parallel to DF, m<1 = m<4
prove: AE is parallel to BF
plz help:(
Answer:
..
Step-by-step explanation:
Gomenosai
What is the equation of the line in slop-intercept form?
Enter your answer in the blank spots
y= __x + __
Answer:
y=2x +5
Step-by-step explanation:
so 2 goes in the first blank and 5 goes in the second
Hope this helps!❆
Which expression is the factored form of
—4.5n +3
A. -1.5 (3n + 2)
B. -3(1.5n - 1)
C. -3(1.5n + 1)
D. -1.5(-3n + 2)
I didn’t mean to choose an answer in the picture btw
Let's check one by one
#1
[tex]\\ \tt\longmapsto -1.5(3n+2)=-4.5n-3[/tex]
No#2
[tex]\\ \tt\longmapsto -3(1.5n-1)=-4.5n+3[/tex]
Yes#3
[tex]\\ \tt\longmapsto -3(1.5n+1)=-4.5n-3[/tex]
No#4
[tex]\\ \tt\longmapsto -1.5(-3n+2)=4.5n-3[/tex]
Nowould you treat the following items as assets in the accounts of a company? 1- A box file 2-A computer 3-A plastic display stand
An asset is an item from which economic benefits flow unto an entity (a person or company in control of it). It can be in monetary terms or non-monetary terms. Thus, we can conclude from the question that:
1. A box file - It is an asset.
2. A computer - It is an asset.
3. A plastic display stand - It is not an asset.
An asset is that which ensure a continuous flow of economic benefits to an entity in possession (i.e control) of it. It can either be non-current or current.
A non-current asset is that which would be in the control of the entity for more than one accounting period (i.e a year). Examples are properties, Plants and equipment etc. While the current asset are those that the economic benefits derived from them would be lost after one accounting period (i.e a year). Examples are: purchased goodwill, intangible assets etc.
The items given in the question can be categorized as follows:
1. A box file - It is an asset. Since the entity will continue to use the box for more than a year.
2. A computer - It is an asset. The computer would be used for more than one accounting period.
3. A plastic display stand - It is not an asset. The plastic stand has a high probability of getting damaged even before the end of the accounting period.
Visit: https://brainly.com/question/19440080
need help on the question
Answer:
what's the question?
Step-by-step explanation:
I'd love to help but i don't see a question...
Let
f
and
g
be defined by
f
:
x
→
3
x
−
1
)
a
n
d
\(
g
:
x
→
2
−
5
x
. Find
f
o
g
(
2
)
Answer:
Solution
verified
Verified by Toppr
f,g:R→R is defined as
f(x)=x+1
g(x)=2x−3
Now, (f+g)(x)=f(x)+g(x)=(x+1)+(2x−3)=3x−2
∴(f+g)(x)=3x−2
Now, (f−g)(x)=f(x)−g(x)=(x+1)−(2x−3)=x+1−2x+3=−x+4
∴(f−g)(x)=−x+4
(
g
f
)(x)=
g(x)
f(x)
,g(x)
=0,x∈R
∴(
g
f
)(x)=
2x−3
x+1
,2x−3
=0 or 2x
=3
∴(
g
f
)(x)=
2x−3
x+1
,x
=
2
3
Suzanne correctly answered 32 of the 40 questions on her math test
What decimal is equivalent to the fraction of questions Suzanne answered correctly?
Enter your answer in the box.
Answer:
Step-by-step explanation: 50 million
A school has 147 third graders. The third grade teachers have planned a special treat for the last day of school and brought ice cream for their students. There are three flavors: mint chip, chocolate, and strawberry. Suppose that 60 students like (at least) mint chip, 103 like chocolate, 50 like strawberry, 30 like mint chip and strawberry, 40 like mint chip and chocolate, 25 like chocolate and strawberry, and 18 like all three flavors. How many students don't like any of the flavors available
If the smaller of two numbers is one-half of the larger number and the sum of the two numbers is 78, find the numbers
Answer:
52 and 26
Step-by-step explanation:
2x=y
x+y=78
3x=78
x=26
2(26)=y
y=52
To check:
52+26=78
A car traveled 81.6 mi in 1.6 hours.
Rate is found by dividing distance by time.
What is the rate in miles per hour?
Answer:
51
Step-by-step explanation:
81.6/1.6
Hope this helps. :)
In the diagram, <4 and <5 are what type of angles?
A. corresponding angles
B. Alternate interior angles
C. Alternate exterior angles
D. Consecutive interior angles
Answer:
B. Alternate interior angles
Step-by-step explanation:
I need answers ASAP
Answer:
Simplifying
6r + r + -5r = 0
Combine like terms: 6r + r = 7r
7r + -5r = 0
Combine like terms: 7r + -5r = 2r
2r = 0
Solving
2r = 0
Solving for variable 'r'.
Move all terms containing r to the left, all other terms to the right.
Divide each side by '2'.
r = 0
Simplifying
r = 0
7r-5r < this is the answer
6r+r=7r
write the equation of a line that is perpendicular to 2x+4y= 14 a need goes through (4,6)
This can be simplified to 2x-y = 2
Solving for y leads to y = 2x-2
========================================================
Explanation:
Anything perpendicular to Ax+By = C is of the form Bx-Ay = D
The given equation 2x+4y = 14 tells us that A = 2, B = 4, C = 14.
So Bx-Ay = D updates to 4x-2y = D.
We'll plug in the coordinates of the given point (x,y) = (4,6) to solve for D.
4x-2y = D
D = 4x-2y
D = 4(4)-2(6)
D = 16-12
D = 4
So 4x-2y = D updates to 4x-2y = 4
Optionally, we can divide each term by 2 to go from 4x-2y = 4 to 2x-y = 2
If we wanted to solve for y, then we'd get y = 2x-2
Which expressions are equivalent to (1/3x+2x−5/3x)−(−1/3x+5) ? Select all correct expressions. −4x+5+3x 5−x 4x−5−3x x−5
Answer:
its x-5 and 4x-5-3x
Step-by-step explanation:
I took the test
How do I convert 10.8 mg to ml
Answer:
10.8mg to ml
Step-by-step explanation:
If you want to convert mg to ml of water you use
1ml=1000mg,then convert the units
1ml=1000mg, then what is the ml of 10.8mg? by using crisscross, let unknown value is B
= 1ml=1000mg
B=10.8mg
=1ml*10.8mg
1000mg
=0.0108mlescape resort rents snowshoes in the winter the resort changes charges seven dollars per day and a flat fee of three dollars to cover cleaning right in equation that shows how the cost why depends on the length of the rental and days X do not include $in the equation
Answer:
Y=7x+3
Step-by-step explanation:
calculate the interquartile range of 45 47 48 49 50 51 52 53 60
Answer:
48
I hope it helps.
QUICK! I NEED HELP ASAP
---------------------
w−(−1/3)=2.05
Enter your answer as a mixed number in simplest form in the box.
w =
Answer:
w=6
Step-by-step explanation: you should just look it up on line
Answer:
The correct answer is 1 43/60
Step-by-step explanation:
you convert 2.05 to a fraction and get 2 23/60 - (-1/3) = 1 43/60
i also took the test
Teresa piano recital starts at 2:41 p.m. It ended at 6:36 pm how long did the recital last
Answer:
way too long
Step-by-step explanation:
jk, 3 hours and 55 minutes