hi please help me thanksss
pls provide workings too thanks :)
Step-by-step explanation:
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Class 11
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>>Trigonometric Functions
>>Trigonometric Equations
>>Solve for x: sin x + sin 2x...
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Solve for x:sinx+sin2x+sin3x=cosx+cos2x+cos3x in the interval 0≤x≤2π.
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We write the given equation as
(sinx+sin3x)+sin2x=(cosx+cos3x)+cos2x
or 2sin2xcosx+sin2x=2cos2xcosx+cos2x
or sin2x(2cosx+1)=cos2x(2cosx+1)
or (sin2x−cos2x)(2cosx+1)=0
∴sin2x−cos2x=0 or 2cosx+1=0
If sin2x−cos2x=0, then tan2x=1,
Hence 2x=nπ+π/4
or x=(4n+1)
8
π
.(1)
If 2cosx+1=0, then cosx=−1/2 (2)
∴x=2nπ±
3
2π
or x=
3
6n±2
π
We seek values of x in the interval 0≤x≤2π
In this interval (1) gives
x=π/8,5π/8,9π/8,13π/8. (n=0,1,2,3)
and (2) gives x=2π/3,4π/3. (for n=0,1)
Thus we get the answer
x=π/8,5π/8,2π/3,9π/8,4π/3,13π/8.
May I please receive help?
Answer:
J= 16.857°
K= 88 .4°
L=74.7°
Step-by-step explanation:
let x represent the angle of J
x° +(4x+21)° +(2x+41)° =180°
x + 4x + 21 + 2x + 41= 180° ( sum of angles in a triangle)
Collect like terms
x + 4x + 2x = 180 - 21 - 41
7x = 180
x =180/7
x=16.857
Therefore,
J = 16.857°
K=4x+21
=4(16.857)+21
= 67.4+21
=88.4°
L=2x +41
=2(16.857)+41
=33.7+41
= 74.7°
Sum of angles in the triangle =
16.857+88.4+74.7=179.9 approximately 180°
Hope this helps....
If you deposit $400 into an account that offers a 5% interest rate. How much interest will you earn after 1 year?
20.00
...............
At a garage sale, Curtis paid $20 for a box of 40 baseball cards. He plans to re-sell the cards for $4 each. If x is the number of cards that he can re-sell, then the equation y = -20 +4x can be used to determine Curtis's profit (y, in dollars).
Answer:
180
Step-by-step explanation:
Well, I'm not sure but maybe??
Determine what type of model best fits the given situation:
A. none of these
B. exponential
C. quadratic
D. linear
Reset Selection
Answer:
A. none of these
Step-by-step explanation:
It's an absolute value function such as : y = 3*| x-1 |
At a movie theater, there were 7 kids
for every 2 adults. If kids tickets cost $5
and adult tickets cost $8, how much
money did the theater make if there
were 54 people in the theater?
Answer:
$306
Step-by-step explanation:
Adult cost = no of adult × adult cost
no of adult = 12
adult tickets cost = $8
= 12 x $8
= $96
kids cost = no of kids x kids tickets cost
no of kids = 42
kids tickets cost = $5
= 42 x $5
= $210
total sales for the theatre =$96 +$210
= $306
I need help asap please
Answer:
[tex]p(t) = - 3t + 75 \\ p(t) = 0 \\ - 3t + 75 = 0 \\ 3t = 75 \\ t = \frac{75}{3} \rightarrow \boxed{t = 25 \: mins} \\ 3 \: papers \: per \: mins \\ domain \: \boxed{t \geqslant 0} \: \\ because \: time \: cant \: be \: negative \: on \\ \: this \: perticular \: occasion \\ \therefore \: range \: \boxed {p(t) \geqslant 0 }[/tex]
Help me please! I need this solved.
Answer:
c(10) = 10c i believe
Step-by-step explanation:
or the answer in the picture
i am a 2 digit number i am a less than 8+8 i am more than 6+6 i am even who am i?
Answer:
14
Step-by-step explanation:
16-12
even: 12 14 16
You are 14!
8+8=16 and we are given that you are less than 16.
6+6=12 and we are given that you are more than 12.
So the number can be 13, 14, 15.
We are also given that the number is even.
And the only even number here is 14. And 14 has 2 digits.
Hope this helps!
~Just a joyful teen
[tex]-GraceRosalia[/tex]
Bonjour, Est-ce que quelqu'un peut m'aider à faire ce devoir. tellement apprécié :)
Step-by-step explanation:
gud eve.
good nigth
ilove you
what does x equel if there are 9 people 2 run away and the remaining number is x
Answer:
x=7 people
Step-by-step explanation:
x=9-2
After being discounted by 20%, a bicycle sells for $140. What was the bicycle's original cost?
Answer:
$700
Step-by-step explanation:
20%=140
divide both sides by 20
1%=7
times both sides by 100
100%= 700
$700
hope this helps
please do this for me
Tom makes $249.25 in 5 days. How much does he make in 4 days?
Answer:
$199.4 in four days
$49.85 in one day
Step-by-step explanation:
249.25 / 5 =49.85
49.85 x 4 = 199.4
Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. The amount that Tom makes in 4 days is $199.4.
What is multiplication?Multiplication is the process of multiplying, therefore, adding a number to itself for the number of times stated. For example, 3 × 4 means 3 is added to itself 4 times, and vice versa for the other number.
The division is one of the four fundamental arithmetic operations, which tells us how the numbers are combined to form a new one.
Given that Tom makes $249.25 in 5 days. Therefore, the amount that Tom makes in a day is,
Amount Tom makes in a day = $249.25 / 5 days
= $49.85 per day
The amount of money that Tom can make in 4 days is,
Amount = $49.85 per day × 4 days
= $199.4
Hence, the amount that Tom makes in 4 days is $199.4.
Learn more about Multiplication here:
https://brainly.com/question/14059007
#SPJ2
May I please receive help?
Answer:
Equation of Parallel Line: y = -7x - 44
Equation of Perpendicular Line: y = x/7 - 8/7
Step-by-step explanation:
1) Parallel
Substitute (-6, -2) to find C
-2 = -7(-6) + c
-2 = 42 + c
-2 - 42 = c
c = -44
y = -7x -44
2) Perpendicular
Negative reciprocal
Substitute (-6, -2) to find C
-2 = 1/7(-6) + c
-2 = -6/7 + c
-2 + 6/7 = c
c = -8/7
y = 1/7x - 8/7 or
y = x/7 - 8/7
PLEASE HELP ASAPP!!!!!!!!! <3
Answer:
1) 9
2) 8
3) 5
4) 72
5) 40
6) 3
Step-by-step explanation:
1) 5 times 9 equals 45, then you add 5 to get 50.
2) -2 times 8 equals -16, minus 3 is the same as adding a -3 to get -19
3) 7 times 5 equals 35, plus 1 to get 36.
4) 72 divided by 6 equals 12, minus 10 to get 2.
5) 40 minus 14 equals 26, divided by 2 to get 13.
6) 3 times 3 equals 9, minus 5 to get 4 then multiplied by 4 to get 16 as your final answer.
I have to go but here are answers 1-6 I will work on 7-11 later. Sorry! Tell me if you have any questions though!
WHICH ONE IS THE CORRECT ANSWER?
SOMEONE PLEASE HELP AND SHOW WORK i will give you brainliest!
Katy invests a total of $26,500 in two accounts. The first account earned a rate of return of 15% (after a year). However, the second account suffered a 8% loss in the same time period. At the end of one year, the total amount of money gained was $985.00. How much was invested into each account?
Answer:
Step-by-step explanation:
0.15x-0.08(26,500-x)=98.00
15x-212000+8x=98,500
23x+212000=98,500+212000
23x/23= 310500/23
x = 13500 (was invested in the account that gained 15% )
26500-13500=13000 (was invested in the account that lost 8%.)
The probability that a red block is selected from a bucket is
3/8, and the probability that a blue block is selected is 2/8.
What is the probability that a red block or a blue block is
selected?
a) 1
b) 1/2
c) 5/8
d) 6/8
Answer:
5/8
Step-by-step explanation:
Since we don't know what the other color (s) are, all we need to do to determine the probability is add the two fractions, and that is your probability.
Answer:
5/8
Step-by-step explanation:
The probability of a red block shows 3/8. This means there are 8 blocks total and only 3 of them are red.
The probability of a blue block shows 2/8. Again there are 8 total blocks and only 2 are blue.
So the total number of blocks remains the same....8
The total of red and blue blocks is 3 + 2 = 5
So the probability would be 5/8
a car is traveling at a steady speed. it travels 2 1/2 miles in 3 1/3 minutes. how far will it travel in 25 minutes. in 1 hour?
Answer:
Step-by-step explanation:
The car will travel 30 2/3 miles in 45 minutes.Oct
For three consecutive homework assignments, each assignment had one more question than the previous assignment. The total number of questions on the three assignments is greater than 51 a.Write an inequality to represent this situation, where q is the number of questions on the first assignment
The inequality that represents the situation is:
[tex]3q + 3 > 51[/tex]
The first assignment had at least 17 questions.
On the first assignment, there were q questions.Each assignment had one more question than the previous one, so the second had q + 1 questions and the third had q + 2 questions.The total number of questions is:
[tex]T = q + q + 1 + q + 2 = 3q + 3[/tex]
Since the total is greater than 51, the inequality is:
[tex]3q + 3 > 51[/tex]
Solving the inequality, we have that:
[tex]3q > 48[/tex]
[tex]q > \frac{48}{3}[/tex]
[tex]q > 16[/tex]
Thus, it is found that the first assignment had at least 17 questions.
A similar problem is given at https://brainly.com/question/24514895
Evaluate 3/4+(1/2+1/4)^2⋅2
Answer:
1 7/8
Step-by-step explanation:
Exact Form 15/8
Decimal Form 1.875
Mixed Number 1 7/8
Determine whether the ordered pair (0, 2) is a solution to the equation –2x + y = –1.
Answer:
Below.
Step-by-step explanation:
The ordered pair (0, 2) tells us that x = 0 when y = 2.
We just plug these values in the given equation and see if the left side = the right.
Left side = -2(0) + 2 = 2.
Right side = -1.
- so they are not a solution.
A man deposited $80,000.00 in a bank at 12% compound interest per annum. How much did the man have in the bank at the second year
The amount that the man have in his bank at the second year is $100,352.
Using this formula
A=P(1+R÷100)^n
Where:
A=Amount
P=Principal=$80,000
R=Rate=12%
n=Number of years=2 years
Let plug in the formula
A=$80,000(1+12÷100)^2
A=$80,000(1+0.12)^2
A=$80,000(1.12)^2
A=$80,000(1.2544)
A=$100,352
Inconclusion the amount that the man have in his bank at the second year is $100,352.
Learn more here:
https://brainly.com/question/25213872
what is 9x² -4 in factored form. i just need more help understanding how to do this.
Answer:
the factored form of 9x²-4 is (3x-2)(3x+2)
there are 20 girls in the school choir. 15% of them wear glasses. how many girls in the choir wear glasses?
Answer:
3 wear glasses
Step-by-step explanation:
10%=2
5%=1
15%=3
Please help out. I'm lost. I don't understand this :/
Step-by-step explanation:
15 . triangle on number 15 is an isoseles because it has two sides that are equal
and also it has two angles that are equal
16. it is a scalene beacause it has no side that is equal furthermore its angles are not the same they are all different
There is a raffle at a hockey game and 250 tickets are sold. Trenton bought 88 tickets. What percent of the
tickets does Trenton have?
Answer:
35.2%
Step-by-step explanation:
88/250
88x4=352
250x4=1000
352/1000=35.2/100
An athlete of mass 60 kg running at a velocity of 10 m/s
Answer:600kgms-1
Step-by-step explanation:
mass *velocity
60*10 =600
Carmel draws a plan of her school using a scale of 1 cm to 5 m.
On the plan, the playground is 6 cm long.
What is the real length of the playground?
Answer:
30m
Step-by-step explanation:
If 1=5
Then
6=?
6÷1×5=30m
