Which expression is equivalent to Sine (StartFraction pi Over 12 EndFraction) cosine (StartFraction 7 pi Over 12 EndFraction) minus cosine (StartFraction pi Over 12 EndFraction) sine (StartFraction 7 pi Over 12 EndFraction)?
Answers
Answer:
EndRoot Over 2 EndFraction
StartFraction pi Over 6 EndFraction, StartFraction StartRoot 3 EndRoot Over 2 EndFraction
On using the trigonometric identity sin(x-y) = sin(x)cos(y) - cos(x)sin(y), we calculate that [tex]sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) =sin(\frac{-\pi }{2} )[/tex].
What are trigonometric identities?Trigonometric identities are equations that relate to different trigonometric functions and are true for any value of the variable that is there in the domain.
[tex]=sin(\frac{\pi }{12})cos(\frac{7\pi }{12}) - cos(\frac{\pi }{12} )sin(\frac{7\pi }{12} ) \\\\=sin(\frac{\pi }{12} -\frac{7\pi }{12})\\ \\ =sin(\frac{-\pi }{2} )[/tex]
Learn more about trigonometric identities here
https://brainly.com/question/12537661
#SPJ3
Related Questions
Please help! Find the missing side lengths. If you must round 1 decimal place.
Answers
Answer:
x=1.6
y=4.8
z=9
Step-by-step explanation:
Answer:
X=12.5
Y=3.2
Z=6
Step-by-step explanation:
5х + 2y — 7z help ? PleAse need it rn
Answers
Answer:
16
Step-by-step explanation:
5x + 2y - 7z
(x = 2, y = 10, z = 2)
First things first you would want to take the letters that the numbers are equal to and replace them with the numbers.
5(2) + 2(10) - 7(2)
Then you multiply the number that's beside the parentheses, 5(2) is the same as 5 x 2.
5(2) = 10
2(10) = 20
7(2) = 14
so now you have
10 + 20 - 14
10 + 20 = 30
30 - 14 = 16
and 16 is your final answer!
which of these planets is Earth explain your answer
Answers
Answer:
The answer is Planet B
Step-by-step explanation:
Earth has one bar and Nasa said Earth tempetaure is 15°C
9) Find the area of the triangle. *
Answers
As we can see it's right angle triangle
so:
[tex]Area \: of \: right \: angled \: triangle=( \frac{1}{2} )×base ×height[/tex]Answer:[tex]area \: of \: tringle= \frac{8 \times 6}{2} [/tex][tex]area \: of \: tringle \: = \frac{48}{2} [/tex][tex]area \: of \: triangle = 24✓[/tex]Graph: f(x) = 0.8|x|
Step 1: Identify the dilation
The parent absolute value function will be
factor of
by a
Answers
Answer:
it will be shrunk by a factor of 0.8
Step-by-step explanation:
i just got it right
The parent absolute value function will be contract by factor 0.8.
What is Dilation?Resizing an item uses a transition called dilation. Dilation is used to enlarge or contract the items. The result of this transformation is an image with the same shape as the original.
We have,
f(x) = 0.8 |x|
We know the 0.8 represent the scale factor which leads to dilation.
As, 0.8 < 1 then it means that the figure is going to be contract or smaller than original figure.
Thus, the Function will be contract by factor 0.8
Learn more about Dilation here:
https://brainly.com/question/13176891
#SPJ2
There are 60 students in a speech contest. Yesterday, 2/3 of them gave their speeches. Today, 3/5 of the remaining students gave their speeches. How many students still haven't given their speeches?
Answers
Answer:
2\3x60=40
3\5x20=12
12+40=52
60-52=8
Please help, I’m very confused
Answers
Answer:
1st picture: (0,4)
The lines intersect at point (0,4).
2nd picture: Graph D
2x ≥ y - 1
2x - 5y ≤ 10
Set these inequalities up in standard form.
y ≤ 2x + 1
-5y ≤ 10 - 2x → y ≥ -2 + 2/5x → y ≥ 2/5x - 2
When you divide by a negative number, you switch the inequality sign.
Now you have:
y ≤ 2x + 1
y ≥ 2/5x - 2
Looking at the graphs, you first want to find the lines that intersect the y-axis at (0, 1) and (0, -2).
In this case, it is all of them.
Next, you would look at the shaded regions.
The first inequality says the values are less than or equal to. So you look for a shaded region below a line. The second inequality says the values are greater than or equal to. So you look for a shaded region above a line.
That would mean Graph B or D.
Then you look at the specific lines. You can see that the lower line is y ≥ 2/5x - 2. You need a shaded region above this line. You can see the above line is y ≤ 2x + 1. You need a shaded region below this line. That is Graph D.
Answer:
A) (-4, 1)
B) graph C
Step-by-step explanation:
A) The point that is in the doubly-shaded area is the solution. The point at (0, 4) is on the dashed line, so is NOT a solution. See the first attachment.
__
B) Look at the given inequalities. You are looking for two things:
which boundary line applieswhich side of that line is shadedHere, you can identify which line goes with which equation a couple of ways. One way is to look at the x- or y-intercept. To find the x-intercept, set y=0 and solve for x. For the first equation, that gives ...
2x ≥ -1
x ≥ -1/2
The steep line, the one that intersects the top of the graph, is the one that has an x-intercept at x = -1/2. You will also note that the solution x ≥ -1/2 means the shading is to the right of that line. (Only graphs C and D have shading to the right of that line.)
For determining which side of the line is shaded, it is useful to pick a variable term with a positive coefficient. For the second inequality, that is 2x. Considering only that term and the relationship in the inequality, we see that we have 2x ≤. This means values of x that are in the solution set are less than (or equal to) those on the boundary line. In other words, shading is to the left of the line with the shallow slope. This is true only for graphs A and C. We have already eliminated graph A, so the desired graph is C.
See the second attachment for what we're talking about here.
Which pair of numbers is the greatest common factor 15?
Answers
Answer:
The answer is 3 and 5
Step-by-step explanation:
3 and 5 is 15 (correct)
10 and 25 is 250 (not correct)
30 and 60 is 1800 (not correct)
60 and 75 is 450 (not correct)
which two perfect squares is 33.64 between
Answers
Answer:
5 and 6 or 25 and 36
Step-by-step explanation:
find the least number which must be added to 6412 to make it a perfect square
Answers
Answer:
The smallest number you can add to 6412 to make it a perfect square is 149. Which would make 6561, and be the square 81
Step-by-step explanation:
Jerome biked 1.2 miles. Then he ran 0.75 mile. How far did Jerome go you brainlyest if answerd by you
Answers
Answer:
The answer would be 1.95
Step-by-step explanation:
An interior wall of a building is made up of metal studs
Answers
Answer:
4 5/8"
Step-by-step explanation:
quizlet will have all the answers btw
Proof practice for geometry!
Need Help!
Answers
idek dwjejdjjriiwknansns
Step-by-step explanation:
nmjwjw
please see the picture .......................
Answers
Answer:
B
Explanation: dont got one
PLEASE HELP ME I NEED THE ANSWER VERY BADLY JUST PLEASE GIVE ME THE ANSWER CHOICE AND DONT GUESS!!!!!!!!!!!!!!
the equations below are representations of linear equations in two variables.
I. y=-2/3x+4
II. y-2=2/3(x-9)
III. 2x+3y=12.
Which linear equation(s) in two variables represent a line that contains the point(9,-2) and with a slope of -2/3?
A. I,II and III
B. I and II only
C. I and III only
D. II and III only
Answers
Answer:
ITS B
Step-by-step explanation:
HOPEFULLY THIS WORKS!!!
Please help due Monday
Answers
Answer:
1. 43, 45, and 47
2. 50, 52, and 54
3. 47 years old
4. 106 degrees
5. 66 degrees
Step-by-step explanation:
1. Let's assume that the first number in the three consecutive odd numbers is x.
We can write an equation to express this now. [tex]x + (x+2) = (x+4) + 41[/tex].
Combining like terms, we get [tex]2x+2 = x+45[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 43[/tex]. Since the smallest number is 43, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 43, 45, and 47.
2. Let's assume that the first number in the three consecutive even integers is x.
We can write an equation to express this now. [tex]x + (x+2) = (x+4)+48[/tex]
Combining like terms, we get [tex]2x+2 = x+52[/tex]. Subtracting by (x+2) on each side, we get [tex]x = 50[/tex]. Since the smallest number is 50, we can find the two larger numbers as well, since they are 2 more than one another. Therefore, the numbers are 50, 52, and 54
3. We can write his current age in years as x. Next year, his age will be x+1. We know that the sum of his current age and his age next year is 73, so we can write an equation to express this.
[tex]x + (x+1) = 73[/tex]. Therefore, 2x + 1 = 73, or 2x = 72. This means that x = 36, or his current age is 36. In 11 years, his age will be 36 + 11 = 47 years old.
4. [tex](21x+1) + (14x+4) = 180[/tex]. Combining like terms, we get [tex]35x + 5 = 180[/tex] Subtracting by 5 on both sides, we get [tex]35x = 175[/tex] This means that [tex]x = 5[/tex]. Now, we can find the degree measures of both angles and find the larger one. The degree measure of the angle on the left is 21(5) + 1 = 106 degrees, and the degree measure of the angle on the right is 14(5) + 4 = 74 degrees. Therefore, the degree measure of the larger angle is 106 degrees.
5. We know that the sum of the angles in a triangle is 180 degrees. Therefore, we can sum the angles up and equate them to 180 degrees.
(x-24) + (2x-108) + (1/3x+12) = 10/3x - 120 = 180. Adding 120 to both sides, we get 10/3x = 300. Multiplying both sides by 3/10, we get x = 900/10 = 90. Therefore, plugging in x = 90, we get 66 degrees.
Zoom in to see the question better. Would really appreciate it if someone helped fast thanks!
Answers
Answer:
congruent angles
Step-by-step explanation:
10073826222+881245893
Answers
Answer:
10,955,072,115
Step-by-step explanation:
Which is the equation of the graphed line written in
standard form?
A. Y=c
B. X-1/2y=0
C. X-y=0
D. Y= 1/2x
Answers
Answer:
C. x - y = 0
Step-by-step explanation:
Step 1: find the slope (m) and y-intercept (b) of the graphed line.
Using the two points on the line (0, 0) and (2, 2),
Slope = [tex] \frac{rise}{run} = \frac{2 - 0}{2 - 0} = \frac{2}{2} = 1 [/tex]
The y-intercept (b) is the point at which the line intercepts the y-axis. Therefore, the y-intercept (b) = 0
Step 2: Generate an equation for the line in slope-intercept form using b = 0 and m = 1.
Substitute m = 1 and b = 0 into y = mx + b
y = 1(x) + 0
y = x
Step 3: rewrite the equation from slope-intercept form to standard form.
To express I'm standard form, take all terms with coefficient to the left, and leave the constant on the right side of the equation.
y = x
Subtract y from both sides
y - y = x - y
0 = x - y
x - y = 0
g precalc Linda works 30 hours per week between two part-time jobs: When she works as a waitress she receives $11.75 per hour and when she works as a math tutor she received $ 17.5 0 per hour. Since she has only 30 hours each week that she can work, the more hours she spends at one job, the fewer number of hours she can work at the second job. If Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress, how much money did she make last week working at both jobs
Answers
Answer:
She made $105.75 working as a waitress
She made $367.50 working as a maths tutor
Step-by-step explanation:
Linda worked a total of 30 hours last week and she worked 9 of these hours as a waitress.
Hence, the number of hours worked as a maths tutor =
30 - 9
= 21 hours
When she works as a waitress she receives $11.75 per hour
Hence, $11.75 × 9 hours
= $105.75
Hence, she made $105.75 working as a waitress
When she works as a math tutor she received $ 17.50 per hour.
$17.50 × 21 hours
$367.50
Hence, she made $367.50 working as a waitress
Expand 2(n+7).
2(n+7) = ?
Answers
Answer:
2n+14
Step-by-step explanation:
After taking your Freshman English class, you notice there is quite a difference between the students in the classes related to your Business major and your general education requirements. You believe it comes down to a difference in verbal and math abilities. You are interested in seeing how your English classmates performed on two parts of the SAT. You randomly collect data from 28 students on their Math SAT score (population
1), and randomly select another 25 students and collect data on their Verbal SAT score (population
2). After entering the data into Excel you obtain the following output: t-Test: Two-Sample Assuming Unequal Variances Q=0.05 Math SAT Verbal SAT Mean 668. 7604 701.888 Variance 3826.406 6944.827 Observations 28 25 Hypothesized Mean Difference 0 df 44 t Stat P(T<=t) one-tail t Critical one-tail 1.68 P(T<=t) two-tail t Critical two-tail 2.01 What is the value of the test statistic to test if math and verbal scores differ in the SAT exam?
a. -1.479
b. There is not enough information to answer this question
C. -1.627
d. 30.116
e. 30.116
Answers
Complete Question
The complete question is shown on the first uploaded image
Answer:
The correct option is C
Step-by-step explanation:
From the question we are told that
The sample size for Math SAT is [tex]n_1 = 28[/tex]
The sample size for Verbal SAT is [tex]n_2 = 25[/tex]
Generally the test statistics is mathematically represented as
[tex]t = \frac{\mu_1 - \mu_2}{ \sqrt{\frac{\sigma^2_1 }{n_1} + \frac{\sigma_2^2}{n_2} } }[/tex]
substituting 668. 7604 for [tex] \mu_1[/tex] , 701.888 for [tex] \mu_2[/tex], 3826.406 for [tex] \sigma_1^2[/tex] , 6944.827 for [tex]\sigma_2^2[/tex]
So
[tex]t = \frac{668.7604 - 701.888}{ \sqrt{\frac{3826.406}{28} + \frac{6944.827}{25} } }[/tex]
=> [tex]t = 1.627[/tex]
How do I order 7.21 7.2 7.083
Answers
Answer:
Step-by-step explanation:
Least to greatest:
7.083, 7.2, 7.21
Greatest to least:
7.2, 7.2, 7.083
QUESTION 1 OF 5
4c + 5 < 4c + 3
Which of the follow
Answers
Answer: No solutions.
============================================
Work Shown:
4c + 5 < 4c + 3
4c+5-4c < 4c+3-4c ... subtract 4c from both sides
4c-4c+5 < 4c-4c+3
0c+5 < 0c+3
0+5 < 0+3
5 < 3 ... statement is false
Since that statement is false, this means the original inequality is false regardless of what you pick for c.
There are no solutions.
A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle. How long will it take for the two bottles to have the same amount of water
Answers
Answer:
8.5 minutes
Step-by-step explanation:
the bottle will have leaked half into the 2nd bottle, meaning the 2nd bottle has half too
It will take 17 minutes for the two bottles to have the same amount of water.
What is unit rate?Something calculated for one is called unit rate.
Given that, A full 17 oz bottle of spring water is leaking half of an ounce a minute into an empty bottle.
To have same amount of water both the bottles will have 17/2 = 8.5 ounces of water in them,
Since, it takes a minute to leak or fill half of an ounce,
Therefore, one ounce will take 2 minutes.
Therefore, 8.5 ounces will take = 8.5×2 = 17
Hence, it will take 17 minutes for the two bottles to have the same amount of water.
Learn more about unit rate, click;
https://brainly.com/question/29781084
#SPJ5
Use the GCF and distributive property to find the expression that is equivalent of 48+56
Answers
find standard deviation, o, for the binomial distribution which has the stated values of n and p. round your answer to the nearest hundredth. n =503: p=0.7
Answers
Answer:
Step-by-step explanation:
N=503
P=0.7
Sqrt(503×0.7(1-0.7))=10.28
The standard deviation, for the binomial distribution, is 10.28 which has the stated values of n and p; n =503: p=0.7.
What is the standard deviation?It is defined as the measure of data disbursement, It gives an idea about how much the data is spread out.
[tex]\rm \sigma = \sqrt{\dfrac{ \sum (x_i-X)}{n}[/tex]
σ is the standard deviation
xi is each value from the data set
X is the mean of the data set
n is the number of observations in the data set.
We have:
The value of n = 503
The value of p = 0.7
For the binomial distribution:
As we know,
The formula for the standard deviation:
σ = √[p(1 - p)n]
Plug the values of p, and n, we get:
σ = √[0.7(1 - 0.7)503]
σ = √[0.7(0.3)503]
σ = √[0.21x503]
σ = √[105.63]
σ = 10.277 ≈ 10.28
Thus, the standard deviation, for the binomial distribution is 10.28 which has the stated values of n and p; n =503: p=0.7.
Learn more about the standard deviation here:
brainly.com/question/12402189
#SPJ5
57.72 ÷ 0.74 with the equation.
Answers
Answer:
x=77.39
Step-by-step explanation:
57.72/.74
is 77.39189 but round it to 77.39
i really need help fast!!
Answers
Answer:
16, 5, 28
Step-by-step explanation:
1 liter is equal to 4 servings
HE is 1/3 the length of HG , HE=x-3 and HG=4x-15 find HE
Answers
Answer:
x=24
Step-by-step explanation:
HE= 1/3(HG)
x-3=1/3(4x-15)
3x-9=4x-15
-x=-24
x=24
Answer:
HE=3
Step-by-step explanation:
Equations
With the data provided, we can set up an equation. Then we need to solve the equation. Finally, we use the just-found value of x to calculate HE.
Data:
HE=1/3 HG
HE=x-3
HG=4x-15
Replacing the last two equations in the first:
x-3=1/3(4x-15)
Multiply both sides by 3:
3(x-3)=4x-15
Operate:
3x-9=4x-15
Moving x's to the left and numbers to the right:
3x-4x=-15+9
Joining like terms:
-x=-6
Multiply by -1:
x=6
Since HE= x-3:
HE=6-3
HE=3