Determine two coterminal angles (one positive and one negative) for each angle. Give your answer in radians. (Enter you answer as a comma-separated list)
Answers
Answer:
The answer is below
Step-by-step explanation:
Coterminal angles are angles with the same terminal side at standard position (angles with the initial side on the positive x-axis). Coterminal angles may have different magnitude but they would have equal sides and vertices.
Coterminal angles can either be positive or negative. The positive coterminal is gotten by adding 2π rad or 360° while the negative coterminal is gotten by subtracting 2π rad or 360°.
a)
Positive coterminal angle = [tex]\frac{5\pi}{4}+2\pi=\frac{13\pi}{4} \ rad[/tex]
Negative coterminal angle = [tex]\frac{5\pi}{4}-2\pi=\frac{-3\pi}{4} \ rad[/tex]
b)
Positive coterminal angle = [tex]\frac{-9\pi}{4}+2\pi=\frac{-\pi}{4}+2\pi=\frac{7\pi}{4} \ rad[/tex]
Negative coterminal angle = [tex]\frac{-9\pi}{4}-2\pi=\frac{-17 \pi}{4} \ rad[/tex]
Related Questions
PLEASE HELP!!!! WILL GIVE BRAINLIEST TO BEST ANSWER!
Refer to the graph to the right and follow the directions in parts (a) through (f)
(a) is a>1 or is 0
(b) Give the domain and range of f and the equation of the asymptote
(c) Sketch the graph of g(x)=-a^x
(d) Give the domain and range of g and the equation of the asymptote
(e) Sketch the graph of h(x)=a^-x
(f) Give the domain and range of h and the equation of the asymptote
Answers
Answer:brainless plz
Step-by-step explanation:
(a) Sketch the graph with equation y = f(x), showing the coordinates of the points where the ... Given that f(x) = e ... (b) Write down the range of f. ... Right-hand branch in quadrants 4 and 1.
Rachel borrows $2,000 from her bank. At a simple interest rate of 3%, how much does she have to pay back in 5 years?
Answers
Answer:
$2060
Step-by-step explanation:
3% of 2000 = 60
2000+ 60 =2060
Answer:2300
Step-by-step explanation:
Annie and Emily are sisters. Emily’s age is 7 more than twice Annie's age, a. The sum of their ages is 45. Which equation represents this relationship?
Answers
Answer:
3x=38
Step-by-step explanation:
Given that,
Annie and Emily are sisters. Emily’s age is 7 more than twice Annie's age, a. The sum of their ages is 45.
Let Annie's age is x.
Emily's age = 7+2x
ATQ,
The sum of their ages is 45.
x+7+2x = 45
Taking like terms together,
x+2x = 45-7
3x=38
Hence, this is the relation between their ages.
What is -7/12 + 3/8?
Answers
Answer:
oi
Step-by-step explanation:
Help me with this question id u can pls
Answers
Answer:
1. principal × rate× time. 250×.03×1
2. $7.50
3. $30.00
A study is run comparing HDL cholesterol levels between men who exercise regularly and those who do not. The data are shown below.
Generate a 95% confidence interval for the difference in mean HDL levels between men who exercise regularly and those who do not.
Answers
Answer:
Hello your question is incomplete attached below is the missing part of the question
Regular Exercise N Mean Std Dev
Yes 35 48.5 12.5
No 120 56.9 11.9
answer : ( -12.968, -3.832 )
Step-by-step explanation:
To generate a 95% confidence interval
first step :
Assume population variance is equal we will calculate the number of degrees of freedom
df = n1 + n2 - 2 = 35 + 120 -2 = 153
second step:
Given : critical value = 0.05 , df = 153
hence Tc = 1.976
assuming the population variance is equal calculate pooled std as ( attached below )
Sp = 12.036
third step :
calculate the standard error
Se = [tex]Sp\sqrt{\frac{1}{n1} +\frac{1}{n2} }[/tex]
n1 = 35
n2 = 120
Sp = 12.036
hence Se = 2.312
final step
Compute the 95% confidence interval = ( -12.968, -3.832 )
attached below is the detailed solution
what is 8.1% of 252?
Answers
Answer:
20.412
Step by step explanation:
8.1% of 252 = 0.081 × 252 = 20.412
Can someone answer this
Answers
Answer:
Step-by-step explanation:
-11= p-9
P= 11-9
P=2
What's the absolute value of -2/8
Answers
Answer:
1/4
Step-by-step explanation:
Absolute value is the distance of a value from 0, you can think of it as a number line. So -2/8 is equal to -1/4 when simplified, and -1/4 is 1/4 away from 0 on the number line
Answer:
2/8
Step-by-step explanation:
absolute values are always positive
10. What is the value of the expression
-8.5 x 4.72 ?
Answers
Answer:
-40.12
Step-by-step explanation:
One out of three adults has worked in the restaurant industry at some point during his or her life. In an office of 90 workers, how many of these people would you expect to have worked in the restaurant industry at some point
Answers
Answer:
30
Step-by-step explanation:
1/3 of 90 is 30.
Express 82 kilometers per hour in miles per hour?
Answers
for an approximate result, divide the speed value by 1.609
You've sold 101 rooms, 98 rooms, and 102 rooms over the past 3 days. You have 116 rooms available. What is your average occupancy for the past three nights?
Answers
Answer:
The average occupancy rate for the past three nights is of 86.49%.
Step-by-step explanation:
We want to find the average occupancy rate, as a percentage.
You've sold 101 rooms, 98 rooms, and 102 rooms over the past 3 days.
So the mean number of rooms sold during the past 3 days is given by:
[tex]A = \frac{101 + 98 + 102}{3} = \frac{301}{3} = 100.33[/tex]
Average rate:
[tex]R = \frac{100.33*100}{116} = 86.49[/tex]
The average occupancy rate for the past three nights is of 86.49%.
algebra help!!
Link them up together of wich one is wich.
wich one is an equasion?
wich one is an expression?
wich one is an identity?
wich one is a formula?
3x'2-2x+1
(a-b)'2=a'2-2ab+b'2
3x2-2x+1=4x-2
v=u+1
_ at'2
2
Answers
Answer:
formula
v=u+1
expression
3x'2-2x+1
You go to the park on a windy day to fly a kite. You have released 40 feet of string. The string makes an angle of 36° with the ground. How high is the kite in the air?
Answers
Answer:
68ft
Step-by-step explanation:
Sin36=o/h = opposite / hypotenuse
x=40/Sin36
x=68
The kite in the air is 23.512 feet.
What is trigonometry ?Trigonometry is a branch of mathematics that studies relationships between the sides and angles of triangles.
Given:
String length= 40 feet
Angle of elevation = 36
Now using concept of application of Trigonometry
sin 36= P/H
0.5878= P/40
P= 23.512 feet.
Hence, the kite in the air is 23.512 feet.
Learn more about Trigonometry here:
https://brainly.com/question/14746686
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Graph the linear equation
Answers
Answer:
look at my graph
Step-by-step explanation:
solve for y for the second one by subtracting 2 by boths sides --> y > x -2
Question 1: Write each of the following percentages as fractions.
If possible, simplify each answer
(a) 3%
(b) 14%
(c) 66%
(d) 10%
(e) 17%
(f) 30%
(g)50%
(h) 25%
(i) 15%
(j) 29%
(k) 16%
(l) 44%
(m) 99%
(n) 85%
(0) 52%
(p) 80%
(q) 60%
(r) 20%
(s) 5%
(t)72%
(u) 98%
(v) 2%
(w) 88%
(x) 15%
Question 2: Write each of the following percentages as fractions.
If possible, simplify each answer.
(a)111%
(b) 130%
(c) 150%
(d) 110%
(e) 125%
(f) 165%
Answers
Answer:
1. 3%=3/10
2. 14%=7/50
3. 66%=33/50
4. 10%=1/10
5. 17%=17/100
6. 30%=3/10
7. 50%=1/2
1. Line k is perpendicular to the graph 4x - 3y + 14 = 0 and passes through (-3,2). Find an equation in Standard
Form whose graph is line k.
Answers
Answer:
Step-by-step explanation:
any line k perpendicular to 4x-3y=14 is
3x+4y=a
∵ it passes through (-3,2)
so 3(-3)+4(2)=a
-9+8=a
a=-1
so reqd. eq. is 3x+4y=-1
Carlos tried to find a fraction equivalent to 2/3. Below is his work. Which
statement describes Carlos' error?
2/3=2/3 x 1/4=2/12
He should have divided by 1/4.
He incorrectly multiplied 2/3 and 1/4.
It is impossible to find a fraction equivalent to 2/3.
He did not multiply 2/3 by a fraction equal to 1.
Answers
Answer:
He did not multiply 2/3 by a fraction equal to 1.
Step-by-step explanation:
For example he could have multiplied 2/3 by 4/4
= 2*4/3*4 = 8/12,
Brian is going camping and. is making a tent from fabric. How much fabric will he need? 6 ft. 12.5 ft. 8.5 ft.
Answers
Answer and explanation:
Depending on the type and size of tent you wish to make, an average tent should consume more than 12.5ft of fabric. You would require more than 10 yards of fabric to make a small tent that an adult human being can fit in.
1 yard = 3 ft
And so you would require about 30 ft of fabric to make your tent. Therefore the options listed may not be enough fabric to make a tent
John and his family went out to eat at their favorite restaurant. The bill for the food was $65.00, and
they a left an 18% tip for the server. What was the total cost of their meal (including tip).
Answers
Answer:
$76.70 is the answer.
Step-by-step explanation:
18% of 65.00 is 11.70. I added 11.70 to $65.00, and got 76.70.
Answer:
76.7
Step-by-step explanation:
65 + 18% tip= 65 times 0.18 = 11.7 65 +11.7 = 76.7
Hope this helped have a good day
A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child. For how many rounds of bingo are the costs the same for an adult and a child?
2
3
4
5
Answers
Answer:
B=3
Step-by-step explanation:
Use a graphing calculator and type in these toe equations
y=2x+13
y=3x+10
and the point they intersect will say (3,19) and the answer is 3
For 3 rounds of bingo, the costs will be the same for an adult and a child option second is correct.
What is linear equation?It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.
If in the linear equation, one variable is present, then the equation is known as the linear equation in one variable.
We have:
A charity bingo game costs $2 per round and has a $13 entry fee for an adult. It costs $3 per round and a $10 entry fee for a child.
Let's suppose, for x rounds of bingo, the costs will be the same for an adult and a child.
For x rounds, cost for adult:
= 2x + 13
For x rounds, cost for child:
= 3x + 10
2x + 13 = 3x + 10
x = 3
Thus, for 3 rounds of bingo, the costs will be the same for an adult and a child option second is correct.
Learn more about the linear equation here:
brainly.com/question/11897796
#SPJ2
1 card holds 10 stickers, 59 stickers. How many cards are needed
Answers
6 cards
What is the solution to the trigonometric inequality sin(x)>cos(x) over the interval 0<=x<=2piradians?
ANSWER: C
Answers
Answer:
x > π/4Step-by-step explanation:
Given the inequality expression
sin(x)>cos(x)
Divide both sides by cos(x)
sin(x)/cos(x)>cos(x)/cos(x)
tan(x) > 1
x > tan⁻¹1
x > 45⁰
x > π/4
Hence the required solution is x > π/4
Find the slope of the line that passes through (4, 11) and (7,4).
Answers
Answer:
m=-7/3 I think thats the right answer
A Jar contains n nickels and d dimes. There are 22 coins in the jar, and the total value of the coins is $1.55.
How many nickels and how many dimes are in the jar? (Hint: Nickels are worth $0.05 and dimes are worth
$0.10.)
There are
nickels and
dimes in the jar.
Answers
I need help with this pls
Answers
Answer:
Im looking for this answer to lol
Step-by-step explanation:
PLSSSSSS HELP MEE ASAP
Answers
Answer:
What's the question?
Step-by-step explanation:
Your struggling with
The ratio of boys to girls at a winter dance is 5 to 6. If there
are 90 girls, how many boys are at the dance?
Select one:
150
75
60
108
Answers
Answer:
75
Step-by-step explanation:
if there were 5 boys to 6 girls then multiply the 6 by 15 to get 90 then multiply the 5 by 15 as well and you get 75 to 90.
Answer:
108
Step-by-step explanation:
first divide 5 into 90 wich equals 18
then add to 90 which equals 108
If you get paid $23 per hour, how much money will you make in 12 hours?
