What is the exact value of Cosine (StartFraction 11 pi Over 21 EndFraction) cosine (StartFraction pi Over 7 EndFraction) minus sine (StartFraction 11 pi Over 21 EndFraction) sine (StartFraction pi over 7 EndFraction)?
Negative StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Negative one-half
One-half
StartFraction StartRoot 3 EndRoot Over 2 EndFraction
Answers
Answer:
Option (2)
Step-by-step explanation:
Given trigonometric expression is,
[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex]
This expression is in the form of an identity,
cos(A + B) = cos(A)cos(B) - sin(A)sin(B)
By substituting the values of A = [tex]\frac{11\pi}{21}[/tex] and B = [tex]\frac{\pi}{7}[/tex] in the identity,
[tex]\text{cos}(\frac{11\pi}{21})\text{cos}(\frac{\pi}{7})-\text{sin}(\frac{11\pi}{21})\text{sin}(\frac{\pi}{7})[/tex] = cos[tex](\frac{11\pi}{21}+\frac{\pi}{7})[/tex]
= cos[tex](\frac{11\pi+3\pi}{21})[/tex]
= cos[tex](\frac{14\pi}{21})[/tex]
= cos[tex](\frac{2\pi}{3})[/tex]
= -[tex]\frac{1}{2}[/tex]
Therefore, Option (2) will be the answer.
Answer:
B. -1/2
Step-by-step explanation:
on edge
Related Questions
What 100000654 divided by 89765
Answers
Answer:
1114.027
Step-by-step explanation:
Write two numbers that multiply to the value on top and add to the value on bottom.
-72
Х
o
+
1
Answers
Explanation: -8 x 9 = -72 and -8 + 9 = 1
what is the distance between the points (0,-1) and (8,7)
Answers
[tex]Distance=\sqrt{(x_{2}-x_{1})^2(y_{2}-y_{1} )^2} \\\\\sqrt{(8-0)^2(7-(-1) )^2}\\\\\sqrt{8^2+8^2} \\\\\sqrt{64+64}\\\\ \sqrt{128} =8\sqrt{2} \\\\[/tex]
Answer:
11.3
Step-by-step explanation:
11.3
The lines AB and CD are perpendicular to each other. If the slope of line AB is 2/3 then what is the slope of line CD
Answers
Answer:
-3/2
Step-by-step explanation:
you can find the perpendicular slope by putting the slope in 1/-m. M is the current slope you have or really you can flip it and change the signs so for example, 1/-(2/3) = -3/2
The slope of line CD is = -3/2
What are Perpendicular lines?A perpendicular is a straight line that makes an angle of 90° with another line.
Given that the lines AB and CD are perpendicular to each other, the slope of line AB is 2/3.
Slope of perpendicular lines are negative reciprocal of each other, so,
Hence, The slope of line CD is = -3/2
For more references on Perpendicular lines, click;
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x² = 35
show your work
Answers
Answer:
x=±√35
Step-by-step explanation:
Take the square root of both sides of the equation to eliminate the exponent on the left side.
x=±√35
The complete solution is the result of both the positive and negative portions of the solution.
PLEASE HELP MEE OUTT!!
ILL MARK UR ANSWER AS BRAINLIST
2) Find the midpoints of the line segment with endpoints ( 4 12, 5/2) and ( 10/7, 4/7)
3) suppose you have lunch with five friends and the total check (with tax and tips) is $252. how much should each person pay if you split the check evenly.
Answers
Answer:
you will each pay $50 and 4 cents
Step-by-step explanation:
Answer:
2) (37/42,43,28)
3) $50.40
Step-by-step explanation:
2)
[tex] \frac{4}{12} + \frac{10}{7} = \frac{37}{21} \div 2 = \frac{37}{42} [/tex]
this is for x
[tex] \frac{5}{2} + \frac{4}{7} = \frac{43}{14} \div 2 = \frac{43}{28} [/tex]
this is for y and the midpoint is (37/42,43/28)
3)
[tex]252 \div 5 = 50.40[/tex]
I think this is the answer
Two airlines each made 30 flights. The dot plots shown compare
how many minutes the actual arrival times were before or after
the scheduled arrival times of these flights.
Negative numbers represent the minutes the flight arrived before its scheduled time.
Positive numbers represent the minutes the flight arrived after its scheduled time.
Zero indicates the flight arrived at its scheduled time.
Assuming you want to arrive as close to the scheduled time as possible, from which
airline should you buy your ticket? Justify your response by addressing both the
measures of center and spread of the distributions.
Answers
Answer: Airline P since the median is lower and the SDR is lower
Step-by-step explanation:
What is the only natural lake in Texas?
a.
Caddo Lake
b.
Canyon Lake
c.
Limestone Lake
d.
Arrowhead Lake
Please select the best answer from the choices provided
A
B
C
D
Please answer ASAP im timed
Answers
Hope this helps! :D
what are the common factors of 42 and 28
A.1,2,4,7,14
B. 1,2,6,7,14
C. 1,2,4,6,7,14
D. 1,2,7,14
Need help ASP
Answers
B 1,2,6,7,14
okay
okay
QUESTION IS ON A PICTURE
Answers
Answer:
-9 is the correct answer of this question.Thank you ☺️☺️
USE FOR MASTERY Number of attempts allowed: 1 Write two rational numbers a/b and c/d, where a, b, c, and d are the digits 2, 3, 4, or 5, such that no digit can be used more than once and that the two rational numbers are the greatest distance apart on the number line. Explain how you got this answer.
Answers
Answer:
We want to craft:
a/b and c/d
where a, b, c and d can be 2, 3, 4 and 5.
Such that the distance in the number line between these two numbers is maximized.
Then we want one number to be really small, and the other to be really large.
Remember two things:
for numbers like a/b.
if a is smaller than b, then a/b is smaller than 1.
Now, if a is larger than b, then a/b is larger than 1.
And two things,
1/10 = 0.1
10/1 = 10
So when the numerator is larger, the distance displaced in the number line is larger.
Then we want to have:
a number where the numerator is the largest option and the denominator is the smallest option:
a/b = 5/2
And the two remaining options in such way that the numerator is smaller than the denominator:
c/d = 3/4.
The distance between these two numbers is:
D = 5/2 - 3/4 = 10/4 - 3/4 = 7/4.
A bathtub is being filled with water. After 10 minutes, there are
75 quarts of water in the tub. Then someone accidentally pulls the
drain plug while the water is still running, and the tub begins to
empty. The tub loses 15 quarts in 5 minutes, and then someone
plugs the drain and the tub fills for 6 more minutes, gaining
another 45 quarts of water. After a 15-minute bath, the person
gets out and pulls the drain plug. It takes 11 minutes for the tub
to drain.
The graph is a graph........
The domain is .....
The range is .......
Please help!!!!!
I'll give 92 points for the one that answers!!!
Answers
Answer:
domain is ..... 13
The range is 45
Step-by-step explanation:
What is the equation of function g
Answers
Answer:
i needed points to ak a question
Step-by-step explanation:
The graph of a quadratic function, y=x?. is reflected over the x-axis. Which of the following is the equation of the
transformed graph?
Answers
Answer:
x = -y
or
-y = x
Step-by-step explanation:
since you reflect it over the x axis, the y changes to a negative
Answer:
its A on edgy
Step-by-step explanation:
Help Please ASAP!!! anyone?!?
Answers
Step-by-step explanation:
This angle can be written in three different ways -
∠RST ∠S∠TSRTherefore,
Options A, B, C are correct.
3a+4b=5a-t Solve for a PLS help!!
Answers
Answer:
a= -t-4b/-2
Step-by-step explanation:
Answer:
(4b+t)/2=a
Step-by-step explanation:
3a+4b=5a-t
3a+4b+t=5a
4b+t=2a
(4b+t)/2=a
pls help if u can. ty :)
Answers
Answer:
1. [tex](x+\frac{3}{2})^{2} -\frac{41}{4} }[/tex]
Step-by-step explanation:
How would I do this using Volume and units. I will mark Brainiest
Answers
Answer:
Sphere:
V=[tex]\frac{4}{3}[/tex]π[tex]r^{3}[/tex]V≈523.6 [tex]cm^{3}[/tex]Cone:
V=π[tex]r^{2}[/tex][tex]\frac{h}{3}[/tex]V≈41.89 [tex]cm^{3}[/tex]
find the rate of change for the table, then fill in the blank boxes with the correct values
Answers
Answer:
Rate of change: +2 for x values and +20 for y values
Missing x values:6
Missing y values:60,80,100
How you explain the can you compare how you feel right now with how you felt before we started with the relaxation activity? On a scale 1-5 .5 being the highest rate your level of stress before and after we started with the exercise.Did the levels change?
Answers
Answer:
I would rate my feelings 4 on a scale of 5
Step-by-step explanation:
Before exercising I usually feel low and heavily laden with overwhelming thoughts and the feeling doesn't seem to leave except in engage in some form of activities that will take my time and consciousness of time.
Like exercising does take time and it's very engaging one wouldn't know the passage of time while doing some physical task.
It's always relaxing after engaging in physical exercise,I also see it as physical therapy for mental health.
This is IXL plz help !!
Answers
Answer:
A = 3.14
Step-by-step explanation:
Your equation is πR²
so 3.14(1²)
Which gives you 3.14
Answer:
A=3.14 square meters
Step-by-step explanation:
Use the equation A=3.14*r^2.
Sub in the numbers you know so 1.
A=3.14*1^2
Simplify.
A=3.14 square meters
NEEDDDD HELP WILL MARK BRAINLIEST
Answers
Answer:
d hopes this helps'
Step-by-step explanation:
Answer:
A (the first one)
Step-by-step explanation:
Which statement must be true to prove j || k?
a.m∠2 + m∠5 = 180
b.∠6 ≅ ∠4
c.∠2 ≅ ∠3
d.∠1 ≅ ∠4
Answers
Answer:
The answer is b. angle 6 must be equal to angle 4.
Write and solve an equation to determine the width w
of the flag.
Answers
multiple of 3 between 2 and 20
Answers
Answer:
6, 9, 12, 15, and 18
Step-by-step explanation:
3,6,9,12,15,18 .
Please give me thanks if this helped.
2540 centimeters are equal to how many inches ?
Answers
Answer:1000
Step-by-step explanation
There are 1000 inches equal to 2540 centimeters
Unit conversion can be defined as the conversion from one quantity unit to another quantity unit followed by the process of division, and multiplication by a conversion factor.
To convert centimeters to inches, we have to use the conversion factor 1 inch = 2.54 cm.
To determine how many inches are in 2540 cm, first we divide 2540 by 2.54:
2540 cm ÷ 2.54 = 1000 inches
Therefore, we can conclude that 2540 centimeters are equal to 1000 inches.
Learn more about the unit conversion here:
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help please :(
20 points to help
Answers
Answer:
67/24
Step-by-step explanation:
that is what my graphing calculator got, I hope its right
Answer:
2 19/24
Step-by-step explanation:
if we go by order of operations we will need to find 3/4+1/6 first because its in parenthesis. we would need to make the fractions compatible so we would turn 3/4 into 9/12, and 1/6 into 2/12. That would get us 11/12. Next up we would calculate the exponent. 2**4 is equal to 2*2*2*2, which is 16. then we would do the division. 2/3 / 16=1/24. 11/12 / 1/3= 11/4. again, we need to make them compatible so we would turn 11/4 into 66/24. finally we add 1/24 and 66/24, which is 67/24. we would turn that into 2 19/24. hope this helps!
Find the values of x and y.
Please show steps
Answers
We know that x is a right angle. The way we find y is to add 47 + 90 which gives us 137. We also know that a right triangle adds up to 180. So, we subtract 137 from 180. This means that y would be 43 degrees.
Please help me out with my math!
Answers
Answer:
6p² + 7m and 63m + 81
Step-by-step explanation:
all you need to do for the first one is add the P and the M together and the - one M then for the second one you just need to multiply 21 and 27 by 3
what is the inverse of the function f(x) = 2x+ 1?
A. h(x) = 1/2x -1/2
B. h(x) = 1/2x + 1/2
C. h(x) = 1/2x - 2
D. h(x) = 1/2x + 2
Answers
[tex]f(x) = 2x + 1[/tex]
[tex]y = 2x + 1[/tex]
Subtract sides -1
[tex]y - 1 = 2x + 1 - 1[/tex]
[tex]y - 1 = 2x[/tex]
[tex]2x = y - 1[/tex]
Divided sides 2
[tex] \frac{2}{2}x = \frac{y - 1}{2} \\ [/tex]
[tex]x = \frac{1}{2}y - \frac{1}{2} \\ [/tex]
Thus ;
[tex] {f}^{ - 1} = h(x) = \frac{1}{2}x - \frac{1}{2} \\ [/tex]
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So the correct answer is (( A )) .
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