Use the given information to find the exact value of each of the following.
a. sin 2theta =
b. cos 2theta =
c. tan 2theta =
cot theta = 11, theta lies in quadrant III
a. sin 2theta =
Answers
Answer:
Step-by-step explanation:
cot θ=11
tan θ=1/11
[tex]\sin ~2\theta=\frac{2 \tan ~\theta}{1+\tan^2 \theta} =\frac{2*\frac{1}{11} }{1+(\frac{1}{11} )^2}=\frac{22 }{122} \\\\cos~2 \theta=\frac{1-tan^2 \theta}{1+tan^2\theta} =\frac{1-(\frac{1}{11})^2 }{1+(\frac{1}{11} )^2} =\frac{120}{122} =\frac{60}{61} \\tan 2 \theta=\frac{2 tan\theta}{1-tan^2 \theta} =\frac{2*(\frac{1}{11 } )}{1-(\frac{1}{11} )^2} =\frac{2*11}{120} =\frac{11}{60}[/tex]
Related Questions
Explain the Pythagorean Theorem and triples using the side lengths 3,4,5.
Answers
Answer:
pythagorean theorem is a^2+B^2=c^2
plug in (3)^2+(4)^2=(5)^2
9+16=25
Please help hawjwjrjshfhsjsjsjakskdkskdkdid
Answers
9514 1404 393
Answer:
3 1/4
Step-by-step explanation:
[tex]\dfrac{3}{4}+\left(\dfrac{1}{3}\div\dfrac{1}{6}\right)-\left(-\dfrac{1}{2}\right)\\\\=\dfrac{3}{4}+\left(\dfrac{2}{6}\div\dfrac{1}{6}\right)+\dfrac{1}{2}\\\\=\dfrac{3}{4}+\dfrac{2}{1}+\dfrac{2}{4}\\\\=2+\dfrac{5}{4}=2+1\dfrac{1}{4}\\\\=\boxed{3\dfrac{1}{4}}[/tex]
convert each part of the ratio to percentage
(a) 3:1
(b) 2:3:5
(c) 1:4
(d) 1:2:5
Answers
2:3:5 =50%
1:4 =25%
1:2:5 =62.5%
which two expressions are equivalent?
A) 5x-5 and 5(x-5)
B) 5(x-5) and 5x-25
C) 5x-1 and 5(x-5)
D) 5x(x-1) and 5x-5
I need help asap thank you :)
Answers
Answer:
b
Step-by-step explanation:
please help me i will really appreciate it .
Answers
9514 1404 393
Answer:
slope = 2
Step-by-step explanation:
See the attachment for the markup.
It is usually convenient to choose places where the graph crosses grid intersections. Here, the graph crosses the x- and y-axes at integer values, so those points could be used, for example. We chose points away from the axes so that the rise and run lines could be seen more easily.
The graph has a rise/run of ...
slope = rise/run = 2/1 = 2
The slope of the line is 2.
Bronwyn walks one lap of an oval at 2.5 km/h and then jogs another eight laps of the
oval at 5 km/h. If it takes her 30 minutes in total, how long in metres is each lap?
Answers
This is the answer to your question
Find the mean of the data in the pictograph below.
Answers
Answer:
3 Luca , 3 Niklas , 5 Finn , 3 Lena
Step-by-step explanation:
Whale = 1 Whale
1 + 1 + 1 = 3 = Luca
1 + 1 + 1 = 3 = Niklas
1 + 1 + 1 + 1 + 1 = 5 = Finn
1 + 1 + 1 = 3 = Lena
please helppp quickkkk will mark brainlyest pls hurry I have something important
Answers
Answer: D
Explanation: The bird travels 10 miles to it's nest in minutes
this got me all confused ^^'
appreciate it if you help me....but if you cant thats ok! Have a great day either way^^
Answers
Answer:
im confused as you are
Step-by-step explanation:
look so what it is saying its that theres 22 in total. 14 already have a sibling and 18 have a pet. 22-14 is 8 and 22-18 is 4. how are you supposed to find the rest of them who have both?
Answer:
Answer is 10
Step-by-step explanation:
Attatchment
Katie runs from her house, east 5 blocks, south 3 blocks, west 5 blocks, and north 4 blocks before walking back home. Regarding her jog only: Her total time it takes her 35 minutes. What is her velocity in mi/h and m/s?
Answers
Answer:
Step-by-step explanation:
Given question is incomplete; here is the complete question,
Katie runs from her house, east 5 blocks, south 3 blocks, west 5 blocks, and north 4 blocks before walking back home. Regarding her jog only: Her total time it takes her 35 minutes. If city block is about 0.5 miles (0.8 km), what is her velocity in mi/h and m/s?
Katie runs from her house, East 5 blocks, South 3 blocks, West 5 blocks and North 4 blocks.
Since, velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]
Displacement of Katie from initial position = (3 + 3) blocks
= 6 blocks
Since, each block measure 0.5 miles,
Displacement = 6 × 0.5
= 3 miles
Time taken to cover the distance = 35 minutes ≈ 0.583 hours
Therefore, velocity of Katie = [tex]\frac{3}{0.583}[/tex]
= 5.15 miles per hour towards South
Displacement (in m) = 6 × 0.8
= 4.8 km
≈ 4800 m
Velocity (in m per hour) = [tex]\frac{4800}{0.583}[/tex]
= 8233.27 m per hour towards South
Identifying Congruent Triangles
Find the measure of The missing angles
Answers
The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Thus, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
The required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
What are congruent triangles?Two triangles are said to be congruent if their corresponding sides and angles are equal.
For finding m∠1,
Here m∠2 = 90° as per the figure it is the right angle.
m∠1 + 40° + m∠2 = 180°
m∠1 + 40° + 90° = 180°
m∠1 = 50°
For finding m∠3,
m∠2 + m∠3 + 30° = 180°
90° + m∠3 + 30° = 180°
m∠3 = 60°
For finding m∠4 and m∠5
We can see that this triangle is equilateral so, m∠4 = m∠5 = 60°
For finding m∠6 and m∠7
m∠6 + m∠7 + 20° = 180°
60° + m∠7 + 20° = 180°
m∠7 = 100°
Hence, the required measure of the missing angles are m∠1 = 50°, m∠2 = 90°, m∠3 = 60°, m∠4 = 60°, m∠5 = 60°, m∠6 = 60°, and m∠7 = 100°.
Learn more about congruent triangles here:
brainly.com/question/4364353
#SPJ2
These are from the same question
Answers
Answer:
a. 25%
b. 6.5%
c. 20%
Step-by-step explanation:
7.
Find the smallest non-zero whole number which
can be multiplied by 112 to give a cube number.
Answers
Answer:
28 x 784
Step-by-step explanation:
Now 7 remains without a pair and therefore 7 should be multiplied to 112 to make it a perfect square. Similarly 28 should be multiplied to 784 to make it a perfect cube.
hope it helps, pls mark as brainliest and follow . thnx
Question 7
Simplify:
20x10,3
52576
Your simplified expression should take the form of a fraction.
Choose the best numerator
[ Select]
and the best denominator
[ Select]
for the simplified expression.
Nay+
Answers
Answer:
4x^5
y³
Step-by-step explanation:
20x^10y³ = 4x^5·y^-3
5x^5y^6
y^-3 = 1
y³
PLS HELP MEEEEEEEEEE :(
Answers
Answer: c
Step-by-step explanation:
It’s A because it’s a normal slope intercept form equation so if u graph it it’ll just be an infinite line showing all the solutions aka all the points on the line
ANSWER PLEASE!
295 times what times what ewuals 3496?
Answers
Answer:
295X12
Step-by-step explanation:
GOOD LUCK
Solve:
8x-5y=11 4x-3y=5
Answers
Answer:
y is 1 and x is 2
Step-by-step explanation:
please mark me as brainliest!!<3
Hey I need to survey 7 more people who play video games so please answer or comment your answers down below :)
Survey ten people who play video games. Ask them these questions:
Why do you play video games?
What types of games do you play?
How long have you been playing video games?
How do you think video games will be played in the future?
Do you think video games will converge to a single platform in the future?
Answers
Playing video games helps me if I have a rough time, I started around 2019. I play adventure type video games, not sure if raft counts, but that is a game I play too often with my friends. I think that video games probably could be played in cars as well but I dont know what else it can be or will be played on. Definitely will not be a single platform, people are too greedy everyone wants a better state then others. (not sure if that makes sense)
hope this helps :))
A number h added to -3 is at most 3.4
Answers
As an equation 6.4+-3=3.4
PLEASE IM ALMOST DONE I JUST NEED A COUPLE MORE! PLEASE HELP
Answers
I believe the answer is d
Answer:
your answer is b
Step-by-step explanation:
that dotted line means that it is greater than or equal to, but it depends on where the shaded area is to determine if it is greater than or equal to or less than or equal to. Since the dotted line is on the left of the dotted line, it is x is less than or equal to -1.
HTH!!
not going to give away how much points im giving because le point theifs might come but please assist me.
((B.TW the horizantal line is always labeled offense
Answers
Answer:
Its the First One
Step-by-step explanation:
For every 2 offense cards, he owns 4 defense cards. The first graph is correct.
Brainliest are appreciated :)
Plz help me get the right answer
Answers
Answer:
answerrrrrrrr
Step-by-step explanation:
-4x^2+10x+4
What is the value of (u-t)(u^2-t^2)?
Answers
Answer:
20
Step-by-step explanation:
u-t = 2
u+t= 5
(u-t) (u²-t²)
(u-t) (u-t) (u+t) (a²-b²= (a+b) (a-b))
put the values
(2)(2)(5)
=20
What can you say about the two figures
A.The two figures are congruent but not similar.
B.The two figures are not similar or congruent.
C.The two figures are similar and congruent.
D.The two figures are similar but not congruent.
Answers
hope this helps!! pls also mark me brainliest if you can :)) i am trying to level up. thank you!!
Write an expression using an exponent to represent the
amount of money Adrian will have saved by month 4.
Answers
Answer: 4 to the power of 4
Step-by-step explanation: Adrian started of with $4 and by month 4 he will have 256. 4•4•4•4=256
What is the y intercept of the following equation -2x-y =5
Answers
Answer:
y intercept=5
What is 160.5cm to feet
Answers
Answer:
5.265748
Step-by-step explanation:
i did a cm to feet calcu-lator
have good day
The correct answer is 4 feet 17 inches is 160.5 c.m.
How to convert c.m. to feet?The process to convert cm to feet is simple. 1 cm. is equal to 0.025 feet. So you must multiple the unit by 0.025.
Given:
1 feet = 38.48 cm.
1 cm. = 0.025 feet.
160.5 cm = (0.025/1) * 160.5
160.5 cm = 4.1709 feet
4.1709 feet
4.1709 feet = 4 feet + 1709 inches.
We can 4.1709 feet which is equal to 4 feet 17 inches.
Therefore, 160.5 cm is equal to 4 feet 17 inches.
Learn more about c. m. to feet here:
https://brainly.com/question/1342081
#SPJ6
Find the slope of the line.
Plz, I need help!
Answers
Answer:
The slope of this line is
[tex] \frac{1}{2} [/tex]
So, in order to do this, we would just take two points on the graph and see how many units we have to go up which will be our Rise and then how many units we have to go across which will be our run.
So, for example, let’s the the coordinates(-6,1) and (-4,2)
So, we will start at (-6,1) and we need to get to (-4,2).
To do this. We are going to go up 1 unit which is our Rise and then, we are going to go over to the right 2 units which is our run.
So, the slope of this line is M = 1/2.
Use the information below go answer the three questions.
In a certain city in France, they gain 2 minutes of daylight each day after the spring equinox (usually in March), but after the autumnal equinox (usually in September) they lose 2 minutes of daylight each day.
Answers
Answer:
Answer for the first question is D
Step-by-step explanation:
^^^^^
Janna is buying a cell phone for her business. The regular price of the cell phone is $179. There is a 30% sale on the phone right now. What will be the final price of the phone?
Answers
Answer: $125 rounded or $125.3 not rounded
Step-by-step explanation: