Let cos A = [tex]1/\sqrt{10}[/tex] with A in QI and find sin(2A)
Answers
9514 1404 393
Answer:
sin(2A) = 0.6
Step-by-step explanation:
A couple of trig identities are involved:
sin(α) = √(1 -cos(α)²)
sin(2α) = 2sin(α)cos(α)
__
First, we need to find sin(A):
[tex]\sin{(A)}=\sqrt{1-\dfrac{1}{(\sqrt{10})^2}}=\sqrt{\dfrac{9}{10}}=\dfrac{3}{\sqrt{10}}\\\\\sin{(2A)}=2\sin{(A)}\cos{(A)}=2\cdot\dfrac{3}{\sqrt{10}}\cdot\dfrac{1}{\sqrt{10}}\\\\\boxed{\sin{(2A)}=\dfrac{6}{10}=0.6}[/tex]
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Alternate solution
Your calculator can also find this for you:
sin(2A) = sin(2·arccos(1/√10)) = 0.6
Answer:
hope this pic helps. enjoy
![Let Cos A = [tex]1/\sqrt{10}[/tex] With A In QI And Find Sin(2A)](https://brainimage.s3.us-east-005.backblazeb2.com/answers/attachments/dTfJoGDvoNepGXGTv1hN3H3n9R0iu00W.jpeg)
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Question 5
1 pts
Time Warner Cable charges $30 per hour and a trip fee of $55 for each service call.
If you pay $265, for how many hours was the technician at your house
Answers
Answer:
7 Hours
Step-by-step explanation:
$265 - $55 = $210
$210 / $30 = 7 Hours
Answer:
7 hours
Step-by-step explanation:
you would have to set up this probelm as an equation. Your equation should be 30h+55=265. The next step would be to subtract both sides of the equation by 55 to get 30h=210. the last step would be to divide both sides of the equation by 3 to get a total of 7 hours.
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Answer:
363/77
Step-by-step explanation:
Answer:
[tex]\frac{21}{10}[/tex] or [tex]2\frac{1}{10}[/tex] or 2.1
Step-by-step explanation:
Which of the following correctly shows the distribution of 4 in the following expression?
4(s + 5)
Answers
In the text box, convert the following phrases from passive voice into active voice. (Beware: One of them is already written in active voice).
1. News reports are written by reporters.
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3. New workers were hired by the company last year.
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jordan has $39. He wants to go to the grocery store and buy orange juice that cost $.599 and apples that cost $1.79 per pound. Write an inequality that represents the amount of apples jordan can buy
Answers
Answer:
$0.22
Step-by-step explanation:
Now we know that 8 ounces total to $1.76. That means that in order to find how much 1 ounce costs, we will end up dividing both sides by 8
8 oz = $1.76
8 oz / 8 = $1.76 / 8
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Be prepared to share with the class -
What are a couple of things you have noticed? Any Wonderings?
Answers
Answer:
2x
Step-by-step explanation:
In the unlike terms column, they have different variables which means you can’t add or subtract them together. They also have different exponents, so you can’t add or subtract them either.
The coefficients can be different, but the variable and the degree of the variable must remain the same in order for it to be considered like terms. Hope this helped!
Brett earns $15 per hour tutoring students after school. If Brett tutored for 15 hours this month, how much money did he earn this month?
Answers
Answer:
225 dollars
Step-by-step explanation:
So if Brett earns 15 dollars each hour he works and he worked for 15 hours we can multiply the two numbers together to get the toyal amount of money he has earned.
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Brett has earned 225 dollars this month
Which situation can be represented by the equation y=25x+50?
Answers
Tom pays $25 a month for a health club membership. He also pays a $50 registration fee.
In the diagram, ∠J ≅ ∠M and JL ≅ MR. What additional information is needed to show ΔJKL ≅ △MNR by SAS? KL ≅ NR ∠L ≅ ∠R ∠K ≅ ∠N JK ≅ MN
Answers
Answer:
JK ≅ MN
Step-by-step explanation:
Given:
Side : JL ≅ MR
Angle: ∠J ≅ ∠M
Side Angle Side - Angle is inbetween tow sides. So JK ≅ MN
Answer:
D
Step-by-step explanation:
Hurry in test Brainliest!!!
Answers
Answer:
y = (x - 4) - 4
Step-by-step explanation:
m = [tex]\frac{y_{2} - y_{1} }{x_{2} -x_{1} }[/tex]
(- 2, - 10)
(4 , - 4)
m = [tex]\frac{-4+10}{4+2}[/tex] = 1
y + 4 = (x - 4) ⇒ y = (x - 4) - 4
If l || m , find the values of x and y .
Answers
Answer:
Can you give me an equation please and ill change this to the correct answer
Step-by-step explanation:
Answer:
x = 21, y = 15
Step-by-step explanation:
[tex](6x + 7) \degree + (3x - 16) \degree = 180 \degree \\ (exterior \: \angle s \: ) \\ \\ (9x - 9) \degree = 180 \degree \\ \\ 9x - 9 = 180 \\ \\ 9x = 180 + 9 \\ \\ 9x = 189 \\ \\ x = \frac{189}{9} \\ \\ x = 21 \\ \\ (11y - 32) \degree = (6x + 7) \degree \\ (vertical \: \angle s) \\ \\ (11y - 32) \degree = (6\times 21- 16) \degree \\ \\ (11y - 32) \degree = (126 + 7) \degree \\\\ (11y - 32) \degree = 133 \degree \\ \\ 11y - 32 = 133 \\ \\ 11y = 133 + 32 \\ \\ 11y = 165 \\ \\ y = \frac{165}{11} \\ \\ y = 15[/tex]
Please help i need answer asap
Answers
Step-by-step explanation:
B is the correct answer, i know yhos i fif iy on edge
Answer:
B
Step-by-step explanation:
If you multiply each of the sides of the smaller triangle by 2 it equals the sides of the lager triangle.
Please Help
What is the polar form of -9 square root 3 EndRoot + 9 i?
A. 18(cos(120°) + isin(120°))
B. 18(cos(150°) + isin(150°))
C. 324(cos(120°) + isin(120°))
D. 324(cos(150°) + isin(150°))
Answers
Answer:
The correct answer is B) 18(cos(150)+isin(150))
Step-by-step explanation:
Hope this helps!
Determine the X values for which the power series of n=0 to infinity N!X^N converge and the power series of n=0 to infinity X^N/N!
Answers
Step-by-step explanation:
∑ₙ₌₀°° n! xⁿ
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[(n+1)! xⁿ⁺¹] / (n! xⁿ)│
L = lim(n→∞)│[(n+1)! / n!] (xⁿ⁺¹ / xⁿ)│
L = lim(n→∞)│(n+1) x│
L = ∞
The series is divergent for all values of x.
∑ₙ₌₀°° xⁿ / n!
Use ratio test:
L = lim(n→∞)│aₙ₊₁ / aₙ│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] / (xⁿ / n!)│
L = lim(n→∞)│[xⁿ⁺¹ / (n+1)!] (n! / xⁿ)│
L = lim(n→∞)│(xⁿ⁺¹ / xⁿ) [n! / (n+1)!]│
L = lim(n→∞)│x / (n+1)│
L = 0
The series is convergent for all values of x.
Consider the points Q(23, 48) and R(7, 62). What is the component form of QR
Answers
Answer:
B on edge
Step-by-step explanation:
:))
The component form of QR is <-16, 14> if the points Q(23, 48) and R(7, 62) option (B) is correct.
What is a vector?It is defined as the quantity that has magnitude as well as direction also the vector always follows the sum triangle law.
The question is incomplete.
The complete question is in the picture, please refer to the attached picture.
We have:
Consider the points Q(23, 48) and R(7, 62).
The x component = 7 - 23 = -16
The y component = 62 - 48 = 14
QR = <-16, 14>
Thus, the component form of QR is <-16, 14> if the points Q(23, 48) and R(7, 62) option (B) is correct.
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Simplify -2(3x+6) -4(x-5)
Answers
you distribute-2 through the parentheses & 4 too. Then you collect the like terms and calculate the sum.
As part of his retirement planning, Mr. Jones purchases an annuity that pays 11.5% compounded quarterly. If the quarterly payment is $1000, how much will Mr. Jones have saved in 6 years?
Answers
Answer:
24000
Step-by-step explanation:
A commuter plane provides transportation from an international airport to surrounding cities. One commuter plane averaged 200 mph flying to a city and 120 mph returning to the international airport. The total flying time was 4 h. Find the distance between the two airports.
Answers
Step-by-step explanation:
Speed = Distance/Time
If one commuter plane averaged 200 mph flying to a city
Time taken to fly to the city will be;
t1 = d/200
d = 200t1
If he used 120 mph returning to the international airport, the total time used to the airport will be
t2 = d/120
d = 120t2
Since the distance are the same;
200t1 = 120t2
t1/t2 = 120/200
t1/t2 = 3/5
5t1 = 3t2
t1 = 3t2/5
Substitute into t1+t2 = 4
3t2/5 +t2 = 4
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t2 = 20/8
t2 = 2.5min
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d = 120(2.5)
d = 300miles
Hence the total distance between the two airports is 300miles
B is located at (-5,2).
If B is reflected across the y-axis, the coordinates will
be
If B is reflected across the x-axis, the coordinates will
be
Answers
Answer:
x axis: -5, -2
y axis: 5,2
Answer:
Y-axis: (5,2)
X-axis: (-5,-2)
Little note:
Hope this helps
I need help fast this is due at the end of school!
Answers
Answer:
She did everything correctly, therefore J
Step-by-step explanation:
6x-3+8+2(3+4x) doing distributed property gives you 6x-3+8+6+8x, step 3 you organize like terms. 14x-3+8+6 Step 4, you subtract 3 therefore in step 5 giving you 14x+11!
x less than the quantity y divided by 9 is more than 21.
What is a way to write this sentence as an algebraic inequality?
Answers
Answer:
It's C.
Step-by-step explanation:
Did the test
The inequality is y/9 - x > 21.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Contrary to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
x less than the quantity y divided by 9 is more than 21.
Now, writing the mathematical Inequality for the given statement is
x less than the quantity y divided by 9
y/9 -x
and, more than 21.
y/9 - x > 21
Hence, the inequality is y/9 - x > 21.
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PLS PLS PLS HELP!
How would you solve 3^6 divided by 3^-2?
Answers
Answer:
3^8
Step-by-step explanation:
3^6/3^-2 is 3^(6-(-2)) which is 3^8
Hope this helps ;D
what is 73.85 dived by 5
plz I need help
Answers
Answer:
14.77
Step-by-step explanation:
Are you not able to use a calc? I can sketch out the long division if you need it!
Which of the following statements is true?
A. All materials are good conductors of electricity.
B. Aluminum and steel are good conductors of electricity.
C. Gold and wood are poor conductors of electricity.
D. Plastic and cooper are good conductors of electricity.
(Answer it correctly and ill give you brainliest, ty <3)
Answers
Answer:
B) Aluminum and steel are good conductors of electricity.
Step-by-step explanation:
A large multiplex movie house has many theaters. The largest theater has 35 rows. There are 13 seats in the first row. Each row has two seats more than the
previous row. How many total seats are there in this theater?
There are
seats in the theater
Answers
Answer:
There are 1645 seats in the theatre.
Step-by-step explanation:
The first row has 13 seats and each row has 2 seats more than the previous one which means
13,15,17...
As the terms are increasing with the same difference, d=2 this forms an arithmetic sequence.
where
[tex]d = 2\\a_1 = 13\\a_2 = 15\\a_3 = 17[/tex]
The rule for an arithmetic sequence is given by:
[tex]a_n = a_1 + (n-1)d[/tex]
Putting the value of a1 and d
[tex]a_n = 13+(n-1)(2)\\a_n = 13+2n-2\\a_n = 11+2n[/tex]
We have to find total seats in the theatre for that the 35th term of sequence is required as their are 35 rows.
So,
Putting n=35
[tex]a_{35} = 11+2(35)\\= 11+70\\=81[/tex]
Now we need to find the sum of the 35 terms
The formula for sum of arithmetic sequence is:
[tex]S_n = \frac{n}{2}(a_1+a_n)\\putting\ n=35\\S_{35} = \frac{35}{2}(a_1+a_{35})\\S_{35} = 17.5(13+81)\\S_{35} = 17.5(94)\\S_{35} = 1645[/tex]
Hence,
There are 1645 seats in the theatre.
100 points and brainleist
Please answer Part b
Answers
Answer:
Step-by-step explanation:
The slope of the line is 1/2 because it goes right one, and up 2.
It can be shown the slope is constant because every time you go up 2 and to the right one, there is a point, which means that the slope will go on infinitely in that direction, with the same slope.
What is the sign of a⋅(−b)?
Answers
Answer:
-ab
Step-by-step explanation:
Answer:
Negative
Step-by-step explanation:
Positive * negative = negative
Who do u guys think will win National League MVP if ur right u'll get brainlyest
no idk
Answers
Answer:
Will Leitch
Step-by-step explanation:
Check all of the expressions that are equal to the one below.
(5+2). 9
A. 5+ (
29)
B. 9.5+ 9.2
O C. (2 + 5). 9
O D. (2 + 9). (5 + 9)
SUBMIT
Answers
suppose six of these people are men, and the other six are women. in how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answers
Twelve people join hands for a circle dance.In how many ways can they do this? Suppose six of these people are men, and the other six are women. In how many ways can they join hands for a circle dance, assuming they alternate in gender around the circle
Answer:
86400 ways
Step-by-step explanation:
Since the circle can be rotated, the number of ways to arrange a distinct number of n objects in a circle will be (n−1)!.
Now, if we rotate the circle with the six women, we will see that there are 5! ways with which they can be placed in the circle.
After picking the places for the women, we will now fill each gap between two women with a man.
We have 6 men. Thus, number of ways to arrange the men is 6!
Thus,number of ways they can join hands for a circle dance, assuming they alternate in gender around the circle = 5! × 6! = 86400 ways
