Step-by-step explanation:
Given
sin(x) - sin(4x)
= 2 cos (( x + 4x)/2) * sin ( ( x - 4x) / 2))
= 2 cos 5x/2 • sin -3x / 2
= - 2 cos 5x/2 • sin 3x/2
Hope it helps :)❤
The sum sin(x) - sin(4x) can be written as a product as 2 sin (5x/2) cos (3x/2).
What are Trigonometric Ratios?Trigonometric ratios are the ratios which is described for two sides of a right angled triangle.
The main three trigonometric ratios are sine, cosine and tangent functions.
We have the trigonometric formula that,
sin A - sin B = 2 sin ([tex]\frac{A+B}{2}[/tex]) cos ([tex]\frac{A-B}{2}[/tex])
Here the sum is, sin(x) - sin(4x) where A = x and B = 4x.
sin(x) - sin(4x) = 2 sin ((x+4x)/2) cos ((x-4x)/2)
= 2 sin (5x/2) cos (-3x/2)
We also have, cos(-x) = cos(x).
So, sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2)
Hence the product form is sin(x) - sin(4x) = 2 sin (5x/2) cos (3x/2).
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4. The figures below are similar. What is
the length of x?
15 in
6 in
4 in
10 in
8 in
X
help pls
Answer:
X = 20in
Step-by-step explanation:
6in × 2.5 = 15in
4in × 2.5 = 10in
8in × 2.5 = 20in
I hope this helps! I'm sorry if wrong.
The length of x in the provided figures, where two figures are similar, is equal to 20 inches.
What is scale factor?
Scale factor is the factor which is used to enlarge or smaller the original figure.
Scale factor is the ratio of representation measurement of the figure to the original figures.
The given figure of arrow are similar. The bottom length of small figure is 4 in while the bottom length of big figure is 10 in. Thus, the scale factor is,
[tex]k=\dfrac{4}{10}[/tex]
The side length of small figure is 6 in while the side length of big figure is x in. Thus, the scale factor is,
[tex]k=\dfrac{8}{x}[/tex]
Both the factor are of same condition. Thus,
[tex]\dfrac{8}{x}=\dfrac{4}{10}\\\dfrac{8\times10}{4}=x\\x=20\rm\; in[/tex]
The length of x in the provided figures, where two figures are similar, is equal to 20 inches.
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a) BCD is a straight line.
Triangle ABC is equilateral.
CE = DE
E
Not drawn
accurately
А
320
B
С
Work out the size of angle x.
(4)
Answer:
x = 46°
Step-by-step explanation:
Since Δ ABC is equilateral then interior angles = 60°
Since CE = DE then Δ CDE is isosceles and the base angles are congruent, so
∠ ECD = [tex]\frac{180-32}{2}[/tex] = [tex]\frac{148}{2}[/tex] = 74°
BCD is a straight line, then the 3 angles on it sum to 180°, that is
60° + 74° + x = 180°
134° + x = 180° ( subtract 134° from both sides )
x = 46°
please helpp solve!!
If Angle M is y then,
Step-by-step explanation:
(6y) + (3y -6) + y = 180°
10y - 6 = 180
10y = 186
y= 18.6
Angle O = 3(18.6) - 6 = 49.8
Answer 49.8
I hope this helps!!!
Where is the zeros of the function?
Are both zeros meaningful and why?
At what height is the ball thrown?
Answer:
The zeros of the function are (-0.5,0) and (1,0), or at -0.5 and 1.
The zeros are important because that is when the ball is at the ground.
The ball is thrown at (0,8), or at 8 units up
Step-by-step explanation:
What is the area of the triangle below (in square units)?
10 mm
90mm
Answer:
450
Step-by-step explanation:
Answer:
450 square units, the formula is bxh divided by 2
Step-by-step explanation:
Someone help and plz make sure the answer is right?
Answer:
B. -2
Step-by-step explanation:
The complete degree of a triangle is 180 so to solve this we would need to solve: 60+70+x+52=180.
60+70=130
130+52=182
182+-2=180
need help to Find the apothem.
The apothem of a polygon, in this case a, can be found using the formula
Apothem=circumradius*cos(pi/sides)
Note in this problem, its a hexagon which makes the circumradius = to the side length since a regular hexagon can be split into 6 equilateral triangles.
a=47*cos(pi/6)=40.7 (approximation)
Hope it helped!
if f(x)= 5x -7, what is f(3)?
Answer:
8
Step-by-step explanation:
f(x) = 5(3) - 7
f(x) = 15 - 7
f(x) = 8
If $20.18 Pesos is equal to $1 US dollar, tell me how much money Mr. P would have left if he had $100 US Dollars but spent $918 Pesos in groceries this past Christmas in Mexico with his family.
Answer:
Conversion rates US Dollar / Mexican Peso
10 USD 209.37500 MXN
20 USD 418.75000 MXN
50 USD 1046.87500 MXN
100 USD 2093.75000 MXN
what is the answer to this
[tex]72 \div 9[/tex]
Determine whether the set of data shown below display exponential behavior. Write yes or no explain why or why not?
Answer:
I don't know what is your name is your
Please help :) i will give brainliest for correct
Gianna's family reserved a campsite for 5 nights for a family vacation. They paid $115 total for the reservation. Let c be the cost of the reservation per night. Write and solve an equation to find c.
Answer:
23$
Step-by-step explanation:
they slept there 5 nights, and paid 115 all together so you divide 115 by 5 to get the total cost for just one night, which is 23 dollars
Which of the following is equal to 7?
A. /81
B. /49
C. /64
D. /36
What value of x is the solution to the equation 2x+4=−2
Answer:
I got -3 as the answer .........
(06.01)A class has 14 girls and 12 boys. What is the probability that a girl's name is drawn at random?
14 over 12
14 over 26
12 over 14
12 over 26
Answer:
B 14 over 26.
cause it's girls out of everyone
Step-by-step explanation:
Answer:
14 over 26
Step-by-step explanation:
i got it right on flvs
4x+15=75 in a number line
Answer:
x= 15
Step-by-step explanation:
4x+15=75
4x = 60
x = 15
Find the area. The figure is not drawn to scale. Hint: Find the sum of the areas of 2 triangles and 2 parallelograms.
Select one:
a. 188 in.2
b. 278 in.2
c. 322 in.2
d. none of these
Answer:
d. None of the above
Step-by-step explanation:
✔️Area of triangle 1 = ½*b*h
b = 11 in.
h = 3 in.
Area of triangle 1 = ½*11*3 = 16.5 in.²
✔️Area of triangle 2 = ½*b*h
b = 8
h = 9
Area of triangle 2 = ½*8*9 = 36 in²
✔️Area of parallelogram 1 = b*h
b = 11 in.
h = 9 in.
Area of parallelogram 1 = 11*9 = 99 in.²
✔️Area of parallelogram 1 = b*h
b = 9 in.
h = 11 in.
Area of parallelogram 2 = 9*11 = 99 in.²
✅Total area = 16.5 + 36 + 99 + 99 = 250.5 in.²
Sheryl has a recipe for pasta with
vegetables. The recipe calls for
130 grams of vegetables and twice as
much pasta as vegetables. What is the
total mass in grams of the recipe?
Answer:
The Anwser Is 390 Because Add It All Up And You Got The Anwser
Answer:
390
Step-by-step explanation:
130 and then twice as much pasta, 130+130=260
Then add the vegetables: 130+260=390
390 is the total mass in grams
how is your day?:) mine sucks because i’m doing hw on spring break
Answer:
im good :)
Step-by-step explanation:
its so annoying how teachers give hw on breakss
Can you help me with these two? Sorry!
Answer:
3. second
4. first
Step-by-step explanation:
Plzzz helpppp itssss urgentt!!!!!!!!
Answer:
4) 40 Square inches
Step-by-step explanation:
You do 2 x 4 then divide by 2. after that you multiply by 4. Then you add the square which is 2 x 2
-40, -47, -54, -61, ...
Find a 29
Answer:
Step-by-step explanation:
It is an arithmetic sequence with common difference d = -7
a₂₉ = a₄ + (29-4)d = -61 + 25(-7) = -236
Can someone help? I'll give brainliest if the answer is correct and and if an explanation of how to do this is provided.
Answer:
[tex] m\angle E[/tex] = 77°
Step-by-step explanation:
I triangle ACE, BD || AC.... (given)
[tex] m\angle B =m\angle A[/tex]
(corresponding angles)
9x - 5 = 8x + 4
9x - 8x = 5 + 4
x = 9
3x° = 9*3° = 27°
(9x - 5)° = (9*9 - 5)° = (81 - 5)° = 76°
[tex] m\angle E[/tex] = 180° - (27° + 76°)
(By interior angle sum theorem of a triangle)
[tex] m\angle E[/tex] = 180° - 103°
[tex] m\angle E[/tex] = 77°
Please help me graph!
What points do a graph 2x-3y=12 at
Write the function that represents the sequence in the table
Answer:
n= 5x each time
Step-by-step explanation:
=
What does q equal?Please help me.
Simplify: Square root of -16
4
4*4 = [tex]\sqrt{x}[/tex]16 not sure how it gets negative
The volume of this cylinder is 7500m
Find the length of the radius, t.
Give your answer rounded to 3 SF
Answer:
Clarifier Calculations
V = π r2h. Volume Calculations. Round ( Cylinder) Tanks. Example 1. Find the Volume in cubic feet of a tank having a radius of 10 feet and ...
Missing: 7500m Give SF
Ashlee is placing a rug in the middle of her bedroom. The length of the rug is two feet more than the width.
What is the area of the bedroom?
Answer:
A=16
Step-by-step explanation:
formula is 2l+2w=A