Given :
An expression (cos 6m)(cos 2m) .
To Find :
We need to express it in terms as sum or difference.
Solution :
We know,
cos( A + B ) = cosA cos B - sin A sin B
cos( A - B ) = cosA cos B + sin A sin B
Adding both the equations we get :
2cos A cos B = cos( A + B) + cos( A - B )
or
cos A cos B = cos( A + B) + cos( A - B )/2
Putting value of A = 6m and B = 2m in above equation, we get :
(cos 6m)(cos 2m) = cos( 6m + 2m ) + cos( 6m - 2m )/2
(cos 6m)(cos 2m) = cos(8m) + cos(4m)/2
Hence, this is the required solution.
determine the equation of the line
Answer:
y=5x-12
Step-by-step explanation:
the slope is 5 and y int. is -12
frank has an eraser. it has a mass of 4g and a volume of 2cm3 what is the density?
Answer:
2 g/cm^3
Step-by-step explanation:
write a statement that indicates that the triangles in each pair are congruent
If the price of beef rose from $8.72 per pound to $9.43 per pound, what is the percent of increase? Round to the nearest percent
Answer:
8.1%
Step-by-step explanation:
Step one:
given
initial price = $8.72 per pound
final price= $9.43 per pound
Required
the % increase
Step two:
% increase= (final-initial)/initial*100
substituting we have
[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]
Pleaseee I need help
Answer:
(48-8xy)-(3xy-10)
Step-by-step explanation:
Choose the number that is 5 more than a square number.
21
34
35
65
76
Answer:
21
Step-by-step explanation:
this requires practical assumption.
take 9 for example
5 more than 9 means 9 - 5 = 4
4 is a square number
21 = 21 - 5 = 16
16 is a square number
34 = 34 - 5 = 29
29 is not a square number
35 = 35 - 5 = 30
30 is not a square number
65 = 65 - 5 = 60
60 is not a square number
76 = 76 - 5 = 71
71 is not a square number
what is the cost of 1 pound of pears?
Answer:
2.8
Step-by-step explanation:
Answer:
$1.75
Step-by-step explanation:
Find the distance between the two points to the nearest tenth. (0,-5) and (-4,2) 5 5.3 5.2 5.6
could somebody help please
Graph the inverse of each function
Please show work will give brainillest
9514 1404 393
Answer:
see attached
Step-by-step explanation:
The graph of the inverse of a function is its reflection in the line y=x. In the attached, that line is shown as a dashed yellow line. The inverse function is shown as a blue line.
__
One way to plot the inverse function of a line is to swap the x- and y-coordinates of the line's intercepts.
In A, the x-intercept is about 10, and the y-intercept is about -4. For the inverse function, the y-intercept will be 10 and the x-intercept will be -4.
In B, the x- and y-intercepts of the function are -6 and 6, respectively. For the inverse function, they will be 6 and -6, respectively.
Answer:
In A, the x-intercept is about 10, and the y-intercept is about -4. For the inverse function, the y-intercept will be 10 and the x-intercept will be -4.
In B, the x- and y-intercepts of the function are -6 and 6, respectively. For the inverse function, they will be 6 and -6, respectively.
Step-by-step explanation:
i got it right on edge
how many times does 50 go into 102?
Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2
Step-by-step explanation: 2 times 50= 100
whats one plus 1 x 111111100000+y7897654323456x1
Answer:
Shoyo here!
Step-by-step explanation:
10000000000000000000000000000000
Question 6: please help me out here :(((
Answer:
m∠1 = 106
Step-by-step explanation:
Given: m∠5 = 106
Vertical angles are congruent
The Alternate Interior Angles Theorem states that, when two parallel lines are cut by a transversal , the resulting alternate interior angles are congruent.
Therefore: m∠1 = 106
y−4=7(x−6) what is the ordered pair solution for this problem
32. Exercise Ahmit gets
exercise on the weekend by
working around the house.
On Saturday, he worked for
3 hours mowing the lawn and
raking leaves; He burned
885 Calories.
a. Write a system of
equations that can be used
to describe the amount
of time Ahmit worked and
the number of Calories
he burned by mowing
and raking
b. Determine how much time Ahmit spent on mowing and raking.
Answer:
X: time mowing lawn (325 Cal/hour)
Y:time raking leaves (275 Cal/hour)
325X + 275Y = 885
3 - X = Y
(1.2 hours mowing the lawn, 1.8 hours raking leaves)
Step-by-step explanation:
you forgot to include vital information. When ahmit rakes leaves, he loses 275 calories per hour. When he mows the lawn, he loses 325 calories per hour according to the textbook you got this from. If he works for 3 hours, you need to find the portion of each activity he did by working backwards from the total calories lost, 885.
2x+4y=8 find the slope
What is the constant of proportionality in the equation y=0.72x
Answer:
Constant: 0.72 = 18 : 25
Step-by-step explanation:
None
Of the four choices given, which two, when written as a system, have a solution of (-4,5)?
Answer:
The answer is A. The first one.
I hope this helps. ;)
Answer:
It is A on edge 2020
Step-by-step explanation:
Kayla can write 415 pages in 10 minutes. At this rate, how many pages could Kayla write in 30 minutes?
Answer:
1245
Step-by-step explanation:
You have to multiply 415 and 3, since 10 x 3 = 30
415 x 3 = 1245
Answer:
She can write 1245 pages in 30 mins.
Step-by-step explanation:
If 10*3= 30 then multiply 415 by 3 or add 415 3 times and you will get your answer. Hope this helped you!! Give brainliest.
Which range contains the value of sqrt(25-4+16)?
A. Between 6.0and 6.2
B. Between 6.9 and 7.1
C. Between 2.1 and 2.3
D. Between 18.4 and 18.6
Answer:
I wanna say C. But I'm not exactly sure.
Step-by-step explanation:
I hope it's right :(
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows. How many possible ways can the chairs be lined up
Answer:
2 rows of 41
Step-by-step explanation:
i had the same question
The number of possible ways can the chairs be lined up is 2 rows of 41.
Given that,
There are 82 chairs at a birthday party. The chairs need to be lined up in equal-sized rows.Based on the above information, the calculation is as follows:
[tex]= 2 \times 41[/tex]
= 82 chairs
Here 2 denotes the rows.
Therefore we can conclude that the number of possible ways can the chairs be lined up is 2 rows of 41.
Learn more: brainly.com/question/13549064
geometry help please :)
Answer:
Medium to Line AC
Altitude to Line AC
Bisector of Angle B
Perpendicular bisector of Line AC
Step-by-step explanation:
We can tell that the Medium here is from line AC to angle B. The line is connecting the angle to the middle of the line, making it the medium and altitude. It is also a bisector of angle B because it is directly in the middle of that angle. It is a perpendicular bisector to line AC because it forms a 90 degree angle on the bottom.
#teamtrees #WAP (Water And Plant)
I Need Help ASAP!!!
Answer:f(x) in order from left to right= -20, 5, 10, 15, 30 i.) -.06 ii.)-40
Step-by-step explanation: f(x) is the answer of 5 times whatever x is, so when it’s telling you what x is all you have to is multiply it by the number next to x which in this case is 5. after doing that you get the answers above. for i.) it’s telling you the answer which is -3, so you divide that by 5 getting -.06. In ii.) it gives you x which is -8 so you plug that in giving you -40.
Please help! I think of a number, I double it, and then add 3. The result is 19. Write this in the form of an equation and then solve the equation to find the number I was thinking of.
Answer:
8
Step-by-step explanation:
Y×2+3=19
19-3=16
16÷2=8
You subtract the 3 first to get what the number was when doubled. After getting that number you would divide it by 2 to get the number that you thought of.
A spinner can land on either red, blue, green, or yellow. You spin once.
Find the number of possible outcomes in the sample space.
Please show me how to solve this.
Answer:
You have a 25% chance on landing on any of the colors
Step-by-step explanation:
You Look at all of the posible ways you can land on which is Red, Blue, Green, and Yellow there are four colors in the spinner if you divide the number of colors (4) and divide it by 100 you will get 25 and that is your answer
Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors
What is the sample space of an experiment?The sample space is the set that contains all possible outcomes for an experiment.
here, we have,
In this problem,
You Look at all of the possible ways you can land on which is Red, Blue, Green, and Yellow
there are four colors in the spinner
if you divide the number of colors (4) and divide it by 100
you will get 25 and that is your answer
Hence, Considering it's concept, it is found that the number of outcomes in the sample space is of 25%. You have a 25% chance on landing on any of the colors.
More can be learned about sample spaces at brainly.com/question/25861936
#SPJ3
What is 16 x 2? This is a random question! I want to give away points so be quickkkkk!
Choose
A) 31
B) 34
C) 32
D) chicken wing
Answer: C.)32 Bestieeeee
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Help me on this please
Answer:
A. x1/15
Step-by-step explanation:
Answer:
It would be [tex]x^{\frac{8}{15}}[/tex] or D
Hope this helps
A particle is moving along the number line so that its distance (in meters) from the origin at any time t (in seconds) is given by s(t) = 8t2 + ln t.
The velocity of the particle at t = 1 second is:
Answer:
The velocity is 17 m/s
Step-by-step explanation:
To find the velocity, we find the first differential of the displacement
That will be
S’(t) = 16t + 1/t
We simply proceed to replace t with 1
That will give;
16(1) + 1/1
= 16 + 1 = 17 m/s
Should be pretty easy to answer, I just need a refresher. I forgot how to solve for triangles...
Answer:
25.734
Step of explanation:
tanjent =opposite/adjacent
cosine =adjacent /hypotenuse
sine =opposite /hypotenuse
this use tangent because the opposite number is there and we want to find adjacent
so t =opposite /adjacent
tan25 °=12/ a
a=12/tan25
=25.734
Will give crown help
Answer:
D is a right angle
B is an accute angle
A and C are obtuse