Answers
Answer:
Step-by-step explanation:
Use the formulas supplied in the picture attached. There's nothing to really learn here, it is just a plug-and-chug formula:
[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(3x-2x)-cos(3x+2x)][/tex]
[tex]sin(3x)sin(2x)=\frac{1}{2} [cos(x)-cos(5x)][/tex]
Moving on to the second problem:
[tex]cos(a)sin(b)=\frac{1}{2}[ sin(a+b)-sin(a-b)][/tex]
Therefore:
[tex]2cos(a)sin(b)=sin(a+b)-sin(a-b)[/tex]
Where:
[tex]a+b=5x[/tex]
[tex]a-b=3x[/tex]
Solve for 'a' using the second equation to get:
[tex]a=3x+b[/tex]
Plug this into the first equation to get:
[tex]3x+b+b=5x[/tex]
[tex]3x+2b=5x[/tex]
[tex]2b=2x[/tex]
[tex]b=x[/tex]
Therefore:
[tex]a+x=5x[/tex]
[tex]a=4x[/tex]
Finally:
[tex]sin(a+b)-sin(a-b)=2cos(4x)sin(x)[/tex]
Related Questions
pls help will give brainliest
Answers
definition of bisector
reflexive property of congruence
definition of midpoint
The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
What is mean by Rectangle?A rectangle is a two dimension figure with 4 sides, 4 corners and 4 right angles. The opposite sides of the rectangle are equal and parallel to each other.
Given that;
⇒ ABCD is a parallelogram.
Now, We have complete table is,
Statements Reasons
1) AD || BC Definition of parallelogram.
2) ∠ADB ≅ ∠CBD Alternate interior angle theorem.
3) AB || CD Definition of parallelogram.
4) ∠ABD ≅ ∠CDB Alternate interior angle theorem.
5) DB ≅ DB Reflexive property of congruence.
6) ΔABD ≅ ΔCDB By SAS congruency theorem.
Thus, The complete table is,
3) Definition of parallelogram.
4) Alternate interior angle theorem.
5) Reflexive property of congruence.
6) By SAS congruency theorem.
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Which function matches the graph?
A 2-dimensional graph with an x-axis and a y-axis is given. A parabolic curve is drawn whose axis of symmetry is parallel to y-axis and its vertex is at (1,-3); is passing through co-ordinates (3,1) and (-1,1).
A. f(x) = (x – 3)2 – 3
B. f(x) = (x + 1)2 – 6
C. f(x) = (x + 2)2 – 5
D. f(x) = (x – 1)2 – 3
Answers
vertex : (1,-3)
coordinates : (3,1) and (-1,1)
parabola formula : y = a(x -h)² + k
(x, y) - from the coordinates(h, k) - from the vertexso given,
h = 1
k = -3
x = 3
y = 1
solve for a:
1 = a(3 -1)² + (-3)1 = 4(a) - 34(a) = 4a = 1Therefore equation:
y = (x -1)² - 3
check the graph for confirmation:
Answer: Graph the parabola y=x2−7x+2 .
Compare the equation with y=ax2+bx+c to find the values of a , b , and c .
Here, a=1,b=−7 and c=2 .
Use the values of the coefficients to write the equation of axis of symmetry .
The graph of a quadratic equation in the form y=ax2+bx+c has as its axis of symmetry the line x=−b2a . So, the equation of the axis of symmetry of the given parabola is x=−(−7)2(1) or x=72 .
Substitute x=72 in the equation to find the y -coordinate of the vertex.
y=(72)2−7(72)+2 =494−492+2 =49 − 98 + 84 =−414
Therefore, the coordinates of the vertex are (72,−414) .
Now, substitute a few more x -values in the equation to get the corresponding y -values.
x y=x2−7x+2
0 2
1 −4
2 −8
3 −10
5 −8
7 2
Plot the points and join them to get the parabola
in short terms D.
Suppose 140 geology students measure the mass of an ore sample. Due to human error and limitations in the reliability of theâ balance, not all the readings are equal. The results are found to closely approximate a normalâ curve, with mean 82 g and standard deviation 3 g. Use the symmetry of the normal curve and the empirical rule as needed to estimate the number of students reporting readings between 79 g and 85 g
Answers
Using the Empirical Rule, it is found that 95 students reported readings between 79 g and 85 g.
What does the Empirical Rule state?It states that, for a normally distributed random variable:
Approximately 68% of the measures are within 1 standard deviation of the mean.Approximately 95% of the measures are within 2 standard deviations of the mean.Approximately 99.7% of the measures are within 3 standard deviations of the mean.In this problem, considering that the mean is of 82g and the standard deviation is of 3g, readings between 79g and 85g are within one standard deviation of the mean, hence it will compreend 68% of the 140 readings, so the number of students is given by:
0.68 x 140 = 95.
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Which outcome is most likely to occur along a transform boundary?
earthquakes
deep-sea trenches
rugged mountain ranges
hot spots
Answers
Answer:
The grinding action between the plates at a transform plate boundary results in shallow earthquakes, large lateral displacement of rock, and a broad zone of crustal deformation.
Step-by-step explanation:
It transform boundaries are where plates slide past each other causing friction, leading to earthquakes.
This is my answer absolute 100% correct
Hope it helps Favor(Brainliest)
#Carryonlearning
what is the value of the expression 4y²-7y-6 when y=5
Answers
16y-7y-6
80-35-6
45-6
39
If a polynomial has a remainder of zero when dividing by x + 3, then x = -3 is a solution of that polynomial.
true or false?
Answers
Answer:
True
this is true there is also another way of thinking of it
Imagine subtracting 3 from both sides so then it will be X= -3
What is the answer to this question?
Answers
Answer:
A = 16.5 cm²
Step-by-step explanation:
the area (A) of a trapezoid is calculated as
A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂ )
where h is the perpendicular height between bases and b₁, b₂ the bases
here h = 3, b₁ = 7 , b₂ = 4 , then
A = [tex]\frac{1}{2}[/tex] × 3 × (7 + 4) = 1.5 × 11 = 16.5 cm²
A cylinder with a height of 8 inches and a radius of 4 inches what is the volume?
Answers
Answer:
Formula for volume of cylinder;
V = π[tex]r^{2}[/tex]h
Where 'π' is pi(22/7 or 3.14), 'r' is the radius which is being squared, and 'h' represents the height.
Plug in your values given that;
8 in. = height
4 in. = radius
V = π[tex]r^{2}[/tex]h
V = 3.14(4^2) x 8
V = 3.14(16) x 8
V = 50.24 x 8
V = 401.92 cubic inches or [tex]401.92^{3}[/tex] inches is the volume.
drake uses 9/4 cups of sugar to make 9 mugs of brownies how much sugar is required to make one brownie
Answers
Answer:
1/4 cup
Step-by-step explanation:
9/4 / 9 =
9/4 *1/9 the nines cancel out to leave
1/4
Find (fog)(x) given f(x) = 2x2-x+1 and g(x) = 4x +3
Answers
Answer:
fg(x) = 32x²+44x+16
Step-by-step explanation:
fg(x) = f[g(x)]
= f(4x+3)
= 2(4x+3)²-(4x+3)+1
= 2(4x+3)²-(4x+3)+1
= 2(16x²+24x+9)-4x-3+1
= 32x²+44x+16
A growing farming conglomerate increases its water usage at a rate of 10% every year. If it
used 13,000 megaliters of water this year, then how much water will it use 17 years from
now?
Answers
The quantity of water the farming conglomerate would use 17 years from now is 65,708.11.
What is the amount of water that would be used 17 years from now?The formula for calculating the amount of water that would be needed 1 years from now:
FV = P (1 + r)^N
FV = Future value P = Present value R = interest rate N = number of years13000 x 1.1^17 = 65,708.11
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Is the following parallelogram actually a rectangle?
True
False
Answers
Explain
Answer is no, it's not a rectangle
Answer:
False
Step-by-step explanation:
Check if there is a right angle using the Pythagorean Theorem:
7.2^2 + 9.1^2 ≟ 12^2
134.65 ≠ 144,
so since there isn't a right angle, this is not a rectangle.
if 6 coins are flipped, find the probability that there is at least one heads?
Answers
With 6 coins you times by 2 and minus by 1 again resulting in a 63 in 64 chance. To find the chance of getting at least one heads if you flip ten coins you times 64 by 2 four times or by 16 once and then minus 1, this results in a 1063 in 1064 chance of getting at least one heads.
Answer:
63 in 64 chance
Step-by-step explanation:
If you for one coin it would be a 50% chance so you multiply that [tex]\frac{1}{2}^{6}[/tex] which would be the probability of no heads 1/64 and at least 1 head you would [tex]1-\frac{1}{64}[/tex] which is [tex]\frac{63}{64}[/tex]. Ask me if you have any further questions
What happens to the energy after cellular respiration? What happens to the carbon dioxide and water?
Answers
Answer:
Through the process of cellular respiration, the energy in food is converted into energy that can be used by the body's cells. During cellular respiration, glucose and oxygen are converted into carbon dioxide and water, and the energy is transferred to ATP.Step-by-step explanation:
The equations in this sytem were added to solve for x. What is the value of x?
Negative 2 x + y = 8. 5 x minus y = negative 5. 3 x = 3.
x = negative 3
x = negative 1
x = 1
x = 3
Answers
The value of x would be 1.
Clarise and Jim sell pumpkins by the pound at a local farmer’s market. The weights, in pounds, of the pumpkins from the most recent harvest are shown in the box plot. Find the median, range, and interquartile range without the outlier.
Answers
Step-by-step explanation:
also provide box plot..
Data collected from a survey of American teenagers aged 13 to 17
was used to estimate that 29% of teens believe in ghosts. This
estimate was based on data from 510 American teenagers. What is
the population that people carrying out the survey were interested
in?
O All people in the United States.
The 510 teens that were surveyed.
O All American teens who are between the ages of 13 and 17.
o The 29% of the teens surveyed who said they believe in ghosts.
Answers
Using sampling concepts, it is found that the population of interest is given by:
All American teens who are between the ages of 13 and 17.
What is sampling?It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.
For example:I want to estimate the proportion of New York state residents who are Buffalo Bills fans. So i ask, lets say, 1000 randomly selected New York state residents wheter they are Buffalo Bills fans, and expand this to the entire population of New York State residents.
In this problem, a sample of American teenagers aged 13 to 17 was taken, hence all American teenagers aged 13 to 17 is the population of interest.
More can be learned about sampling concepts at https://brainly.com/question/25122507
What is the area of the triangle shown below ?3.7mm 4.8mm
Answers
.If Rashard wants to earn $300 interest in 2 years from an account that earns an annual simple
interest rate of 8%, how much must he invest initially?
Answers
Answer:
$ 1875
Step-by-step explanation:
Richard invests some amount P. He want the money he invested to gain an interest of $300.
A = P(1 + n×i)
A = P + 300
i = 0.08
n = 2
P + 300 = P(1 + 2×0.08)
P + 300 = P(1.16)
300 = 1.16P - P
300 = 0.16P
300/0.16 = 0.16P/0.16
P =300/0.16
P = $1875
Richard should invest $1875 if he wants an interest of $300 in 2 years.
WILL GIVE BRAINLIEST
The Coriolis Effect is the measurement of wind speed based on friction from mountains.
Question 2 options:
True
False
Answers
Answer:
false
Step-by-step explanation:
i said so
Answer:false
Step-by-step explanation:
because im smart
brainleist? or scam?
What is a solution to 3x-26/7=-5/x if x/= 0
Answers
Answer:
Step-by-step explanation:
Pls help and explain it
Answers
Answer:
(a) School B
you can compare the coverages of A grades for both schools
School A: 25
School B: 50
50 > 25, so school B
(b) School B
School A: 18
School B: 70
70 > 18, so also school B
(c). School B has a higher percentage of nearly all the grades than school A except for D grade.
Question 17 of 25
After being rearranged and simplified, which equation cannot be solved using
the quadratic formula?
O A. 5x2 – 3x+ 10 = 2x2
B. 2x2 – 3x + 10 = 2x2 + 21
-
O c. x2 - 6x- 7 = 2x
O D. 2x - 4 = 2x2
SUBMIT
Answers
Answer:
B. 2x2 – 3x + 10 = 2x2 + 21
Step-by-step explanation:
2x2 – 3x + 10 = 2x2 + 21
Subtract 2x^2 from each side
2x2- 2x^2 – 3x + 10 = 2x2 + 21-2x^2
-3x+10 = 21
This is a linear equation and does not use the quadratic equation to solve
-
An outlet has a current of 10 amperes and a resistance of 14 ohms. Find the voltage difference.
Answers
V = (10 amperes • 14 ohms)
V = 140 volts
The voltage difference for an outlet will be 140 volts.
What is Multiplication?
To multiply means to add a number to itself a particular number of times. Multiplication can be viewed as a process of repeated addition.
Given that;
For an outlet,
Current (I) = 10 ampere
Resistance (R) = 14 ohms
Now,
Since, We know that;
The current is the ratio of the potential difference and resistance.
That is,
⇒ I = V / R
⇒ V = I R
Thus, Substitute all the values, we get;
⇒ V = I R
⇒ V = 10 x 14
⇒ V = 140 Volts
Therefore, The voltage difference for an outlet will be 140 volts.
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What about this one?
Answers
Answer:
108
Step-by-step explanation:
Okay here we see a diameter of 6 which is a line that shows the width of the whole circle. The radius is half of the diameter. So its 3. So its asking to use 3 for pie and the formula is 4/3 pie r^3. So we do 4/3 times 3 times 3^3 and we get 108. I hope this helps.
A circle has a diameter with endpoints at -2 + i and -6 -11i. What is the center of the circle?
O-8-10i
O -4 – 5i
O -2- 6i
O 2 +i
Answers
Answer:
- 4 - 5i
Step-by-step explanation:
The centre of the circle is the average of the endpoints
centre = (- 2 + i - 6 - 11i ) ÷ 2
= (- 8 - 10i ) ÷ 2
= - 4 - 5i
May I get help on these questions, please?
Answers
a diameter is 2 × the radius
the circumference rule is 2×π×radius
I will solve the first question to show how to format.
1: 5/2=2.5
2×2.5×π=5×π=15.7
PLEASE ANSWER!!!!
Yusuf tried to solve an equation step by step.
1/4r+2=10
Step 1:
1/4r=12
Step 2:
R=48
Find Yusuf's mistake.
Choose one answer:
A.) Step 1
B.) Step 2
C.) Yusuf didn't make a mistake
Answers
Answer:
Step-by-step explanation:
Step one is not correct. He got 12. He should have obtained 10 -2 = 8. You need to subtract 2 on the left to get rid of the 2 there. So you must subtract 2 on the right.
Answer: Step one contains the error.
Answer:
A. Step 1
Step-by-step explanation:
I did it on khan so its right
help please if you can thanks!
Answers
Answer:
The last option 8.5
Step-by-step explanation:
hope it helps
16 + 40 ÷ 4 + (13 - 9)2
Answers
Step-by-step explanation:
= 16 + 40 ÷ 4 + ( 13 - 9 ) 2
= 16 + 40 ÷ 4 + 4 × 2
= 16 + 10 + 4× 2
= 16+ 10 + 8
= 34
