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.
In the diagram below of triangle MNPMNP, QQ is a midpoint of \overline{MN}
MN
and RR is a midpoint of \overline{NP}
NP
. If QR=11-xQR=11−x, and MP=57-7xMP=57−7x, what is the measure of MPMP?
Answer:
Given that MNP is a triangle. Q is the midpoint of MN and R is the midpoint of NP.
The length of QR is 4x -11 and the length of MP is 9x - 29.
We need to determine the measure of MP.
Value of x:
The value of x can be determined using the triangle midsegment theore
Applying the theorem, we have;
Substituting the lengths, we get;
Subtracting both sides by 8x, we have;
Adding both sides of the equation by 29, we get;Thus, the value of x is 7.
Measure of MP:
The measure of MP can be determined by substituting x = 7 in the length of MP.
Thus, we have;
Thus, the measure of MP is 34.
Rewrite y - 3 = 4(x + 2) in slope intercept form. Type in your answer without using any spaces. Example: y=-3/4x+12
Answer:
y=4x+11
Step-by-step explanation:
Answer:
y=4x+11
Step-by-step explanation:
y - 3 = 4(x + 2)
=
y - 3 =4x + 8
=
y - 3 (+3) = 4x + 8 (+3)
=
y=4x+11
What are some ideas for my girlfriends Christmas present of little sayings I can put in a box in a box in a box in a box. For example, if I got my girlfriend a nose ring in one of the boxes, I could say nobody “nose” me like you do. PLEASE HELP, I NEED IDEAS ASAP, thank you!
Step-by-step explanation:
I don't think she want's a nose ring, Okay start by writing a pretty poem then Give a meaningful necklace. Girl like jewlry
what is 140 divided by 8
Answer:
17.5
Step-by-step explanation:
Answer:
17.5 is your answer
Step-by-step explanation:
140/8
17.5
Hope this helps?
what’s the hypotenuse of c ?
Answer:
it would be A 160
Step-by-step explanation:
4 square plus + 12 square = 16+144=160
Which of the following equations is equivalent to 4x -y=3`?
Answer:
x-intercept = (3/4,0)
y'intercept = (0,-3)
Step-by-step explanation:
Not sure what conversion you need but here are the intercepts
Help?????????? Please
Answer: 2 cups of water to 8 cups of flour
Step-by-step explanation:
Answer:
2 cups of water to 8 cups of flour
Step-by-step explanation:
1 3/8 ÷ 1 2/3
quotient in lowest terms
Answer:
=33/40
Step-by-step explanation:
Convert any mixed numbers to fractions.
Then your initial equation becomes:
118÷53
Applying the fractions formula for division,
=11×38×5
=33/40
=33/40
which expression is equivalent to 15+3x?
Answer:
There are no pictures
Step-by-step explanation:
Show a picture and I will help you.
The Expression Equivalent to 15+ 3x is 3(5+x).
What is Expression?In mathematics, an expression is a phrase that has at least two numbers or variables and at least one maths operation. Addition, subtraction, multiplication, or division are all examples of maths operations. An expression's structure is as follows:
(Number/variable, Math Operator, Number/variable) is an expression.
We have the Expression as,
15 + 3x
1. 3(5+ x)
Using Distributive property
15 + 3x
2. 5(3 +x)
Using Distributive property
15 + 5x
3. 3(5+ 3x)
Using Distributive property
15 + 9x
4. 5(3 + 3x)
Using Distributive property
15 + 15x
Learn more about expression here:
https://brainly.com/question/14083225
#SPJ2
Heather purchased a sapphire bracelet during the Jewelry Emporium's Semi-Annual Clearance Sale. If Heather paid $149.50 for the bracelet and the original price is $230.00, how much of a discount did she receive?
A.
35%
B.
30%
C.
45%
D.
65%
She received a 35% discount (A).
Help ASAP. Solve both
Step-by-step explanation:
question 15
For y to be parallel to z the sum of given angles must be equal to 180°
3x + 7 + 10x - 22 = 180° add like terms
13x - 15 = 180 add 15 to both sides
13x = 195 divide both sides by 13
x = 15
question 16
If y is parallel to z then the given angles are alternate exterior and has same measurement
11x - 3 = 4x + 39
11x - 4x = 39 + 3
7x = 42 divide both sides by 7
x = 6
Simplify.
3/4−4x+1/2x−1/2+1/2x
Enter your answer in the box.
Answer:
3(1−10x)43(1-10x)4
Step-by-step explanation:
34−4x+12x−212x34-4x+12x-212x
Simplify each term.
Combine 1212 and xx.
34−4x+x2−212x34-4x+x2-212x
Multiply the numerator by the reciprocal of the denominator.
34−4x+x2−(2(2x))34-4x+x2-(2(2x))
Multiply 22 by 22.
34−4x+x2−(4x)34-4x+x2-(4x)
Multiply 44 by −1-1.
34−4x+x2−4x34-4x+x2-4x
Find the common denominator.
Write −4x-4x as a fraction with denominator 11.
34+−4x1+x2−4x34+-4x1+x2-4x
Multiply −4x1-4x1 by 4444.
34+−4x1⋅44+x2−4x34+-4x1⋅44+x2-4x
Multiply −4x1-4x1 and 4444.
34+
Answer:
-3x + ¼
Step-by-step explanation:
Follow Me Please ...
What is the value of X I’ll give brainlist please someone help me
Answer:
69.333 or 208/3
A satellite orbiting Earth has a period of 21 hours when its average distance is 3.8 × 107 m. Find the orbital period of a satellite when the average distance is 5.1 × 107 m. Use the law stating that the square of the time of orbit varies directly with the average radius cubed.
Answer:
hertygvgjsagjkefhuufcbfssdvmyjkixewd
Suppose that an object is dropped from a height of h meters and hits the ground with a velocity of v meters per second. Then v = 19.6h. If an object is
dropped from a height of 35.9 meters, with what velocity does it hit the ground?
Round your answer to the nearest tenth.
Answer:
The object hits the ground with a velocity of 703.6 m/s.
Step-by-step explanation:
Evaluating Functions
The function that relates the velocity v in meters by second with the height h in meters an object was dropped from is:
v = 19.6h
We are required to evaluate the function above if we know the object was dropped from a height of h=35.9 meters.
Substituting in the equation:
v = 19.6*35.9
v = 703.64 m/s
Rounding to the nearest tenth:
The object hits the ground with a velocity of 703.6 m/s.
What slope would make the lines
parallel?
y = -3x + 9
y = [?]x + 4
Answer:
- 3
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = - 3x + 9 ← is in slope- intercept form
with slope m = - 3
Parallel lines have equal slopes, thus
y = - 3x + 4 ← is the equation of a parallel line
if dan was 4 years old 18 years ago, how old will he be 16 years from now?
Answer:
4+18 = 22 thats now in 16 years would be 38 years old
Step-by-step explanation:
For the picture I think you can zoom in to see it more clearly.
Answer:
y=15x
Step-by-step explanation:
YEPP PRETTY CONFIDENT IN THE ANSWER
9514 1404 393
Answer:
s = 15w
Step-by-step explanation:
The problem statement tells you the dependent variable is s, and the independent variable is w. Unfortunately, the graph axes are labeled y and x instead of s and w. The line on the graph has a "y-intercept" of 0 and a rise/run of 30/2 = 15.
The equation asked for is ...
s = 15w
Ellen takes a multiple-choice quiz that has 4 questions, with 3 answer choices for each question. What is the probability that she will get exactly 1 answer correct by guessing? Probabilities should be entered as fractions in simplest form, decimals rounded to the nearest thousandth, or percents rounded to the nearest tenth.
Answer: The probability is 32/81, or 0.395 in decimal form
Step-by-step explanation:
Each question has 3 answers.
one of the answers is correct, and 2 are incorrect.
Then the probability of selecting at random the correct answer, is equal to the quotient between the number of correct answers and the total number of answers, this is:
p = 1/3.
Then the probability of answering wrong is:
q = 1 - 1/3 = 2/3.
Now, we want to find the probability of answering exactly one question correctly.
Let's suppose that Ellen answers correctly the first question, and incorrectly the other 3.
then we have the probability 1/3 one time, and the probability 2/3 3 times.
And as we know, the joint probability will be equal to the product of the individual probabilities, this is:
P = (1/3)*(2/3)*(2/3)*(2/3).
But this is for the case where only the first one is answered correctly, we also have the cases where:
the 2nd is the only one answered correctly
the 3rd is the only one answered correctly
the 4th is the only one answered correctly.
Then we have 4 permutations, which means that the actual probability of answering only on question correctly is:
P' = 4*P = 4*(1/3)*(2/3)*(2/3)*(2/3) = (4*2*2*2)/(3*3*3*3) = 32/81 = 0.395
Is this correct? I’m too tired and confused to understand this..
Answer:
yes
Step-by-step explanation:
I think ur right because ur smart :)
Answer:
yeah lol
Step-by-step explanation:
Find the perimeter of the triangle.
Answer:
39
Step-by-step explanation:
Alll the sides equal each other because of that curve u see at each angle, that curve means that the angles are the same, having the same angles means same sides, so just pick two equations to do this:
21 - x = 2x -3
add 3 to both sides
24 - x = 2x
add x to both sides
24 = 3x
divide by 3
8 = x
Now input 7 into the equations:
21 - x = 21 - 8 = 13
2(8) - 3 = 16 - 3 = 13
x + 5 = 8 + 5 = 13
Now add: 13 + 13 + 13 = 26 + 13 = 39
Another way for u to save time is remember how i said all the sides were the same? you could just solve one equation, so it'll be 13 and multiply that with 3 to get the perimeter since ur adding 13 three times anyway
So just a simple: 13(3) = 39
To meet peak energy demand, an electric power cooperative buys back electricity generated locally. They pay #0.07 per solar-powered kWh (kilowatt-hour). How much money does a school make when it sells back 956 kWh to the cooperative?
Answer: #66.92
Step-by-step explanation:
Since the cooperative pays pay #0.07 per solar-powered kWh (kilowatt-hour), the amount that the school would make when it sells back 956 kWh to the cooperative would be calculated as:
= #0.07 × 956 kWh
= #66.92
Today only, a suit is being sold at a 15% discount. The sale price is $391.
What was the price yesterday?
Answer:
$460.
Step-by-step explanation:
[tex]Percentage\ change = (\frac{Original\ Price\ - Discounted\ Price}{Original\ Price})100\\\\15=(\frac{x-391}{x})100\\\\15x=(x-391)100 \\\\15x/100=x-391\\0.15x=x-391\\391=x-0.15x\\391=0.85x\\391/0.85=x\\460=x\\[/tex]
So the price yesterday was $460
(04.07A) Two quantities are related, as shown in the table below: x y 2 10 4 9 6 8 8 7 Which equation best represents the relationship? y = 1 over 2x + 11 y = negative 1 over 2x + 11 y = 2x + 10 y = 2x + 11
Answer:
y = negative 1 over 2x + 11
Step-by-step explanation:
I know this because I had the same test as you and that is what I put and I got it right.
Plz help fast answer
Answer:
1: Patriotic
2: Global
3: Graphic
4:heroic
5: betrayel
6:angelic
7: dramatic
8: bacterial
Step-by-step explanation:
I think this is it
-2.5f + 0.2f - 13 - 8
Answer:
2.3f - 21
Step-by-step explanation:
PLEASE HELP !!!!!!!!!!!!!! WILL MARK BRIANLIEST CORRECT ANSWER !!!!!!!!!!!!
Answer: c=(220)^1/2
^1/2 is the square root
Step-by-step explanation:
c^2=a^2+b^2
c^2=14^2+(24^1/2)^2
c^2=196 +24
c^2=220
c=(220)^1/2
HELP MATH STIKES AGAIN!
Hotel A hotel charges $140 per night for the first two people and $10 for each additional person. Hotel B charges $80 per night for the first two people and $20 for each additional person. At how many additional people per night is the rent for the two rooms the same.
I will mark brainlyist for correct answer
Answer:
9
Step-by-step explanation:
Can somebody plz help answer both questions correct (only if u know how)
WILL MARK BRAINLIEST WHOEVER ANSWERS THEM FIRST.. promise :DD
divide the fraction like 4/5 and I'll give you decimal form and you could tell which one was bigger very quickly
If, a quadratic equation in the form of ax+ bx + c = 0 has a discriminant
value of 32, then it will have 2 real, rational solutions.
true or false
Answer:
True
Step-by-step explanation:
The discriminant is the part of the quadratic formula that is inside the square root, b²-4ac. If b²-4ac is 32, a positive number, then the solutions will be rational numbers. If this discriminant was a negative value, then you would get imaginary numbers (non rational).