The result for the expression (cos 3x)(cos x) − (sin 3x)(sin x) is cos 4x.
Trigonometric Identities What is trigonometric identities ?Equations involving trigonometric functions that hold true for all possible values of the variables are known as trigonometric identities.
The addition/sum formula in trigonometry:In terms of functions of A and B, angle addition formulae express trigonometric functions of sums of angles A[tex]\frac{+}{_}[/tex]B.
Sum formula or cos:cos (A+B) = cosA.cosB + sinA.sinB
Application of sum formula of cos:The give equation is as follows,
(cos 3x)(cos x) − (sin 3x)(sin x)
Applying the sum formula,
= (cos 3x)(cos x) − (sin 3x)(sin x)
= cos(3x + x)
= cos 4x
Therefore, the result of the given equation is cos 4x.
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Drag the operation signs to make the equation true. An operation may be used once. more than once, or not at all
12 ? (7-4) + 5 ? 3 = 19
you can choose + − × ÷
Answer: 12 ÷ (7-4) + 5 × 3 = 19
Step-by-step explanation:
Answer:
12 ÷ (7-4) + 5 × 3 = 19
Step-by-step explanation:
What is the area of the shaded region of the figure?
Answer:
B, 25.9 pi
Step-by-step explanation:
360 - 170 = 190
r= 7
pi 7^2 = 49 pi
49/2 = 24.5 pi
24.5 + 1.4 = 25.9 pi
ASA and AAS Congruence
State if two triangles are congruent. If they are, state how you know.
Answer:
NO
Step-by-step explanation:
They are not bc they are rotated and theyfore not the same exatly. The are similar NOT congruent.
what number has an opposite of 18 and an absolute value of 18
Answer:
-18
Step-by-step explanation:
By opposite, I believe this is talking about the sign. Note that taking an absolute value of a number always results in a positive number.
|-18| = 18
Answer:
-18, 18
Step-by-step explanation:
Opposite means negative becomes positive, and positive becomes negative. Absolute value is distance from zero. It is 18 away from zero. Opposite of 18 is -18.
The chart below shows the average cost that each gender spends on their senior prom at the local high school.
Answer:
Let me know if anything is unreadable !
Find the distance points
Answer:
8/5x
Step-by-step explanation:
it's (-4,-4) and (1,4) so you subtract the y's getting 8. then you subtract the x's getting 5. y/x is the rule so you would get 8/5 or 8/5x as the slope/distance between points.
The gravitational force ona abody falling towards the earthb is directly proportional to the mass of the body the gravitiaional force on the body js 2 kg is 19.6 newtons
A. Write a direct variation equation relating the mass x and the gravitational force y on the falling body
B. Using your equation from 4.a find the gravitaional force of an object with the mass of 5kg
Don't RIP OFF OR I WILL REPORT
Answer:
A. y = 9.8xB. 49 NewtonsStep-by-step explanation:
Direct proportional relationship formula
y = kx, where y- dependent variable, x- independent variable, k- coefficient of proportionalityGiven values
x = 2 kgy = 19.6 NFind the value of k using the formula
19.6 = 2kk = 19.6/2k = 9.8Part AThe equation for this case is
y = 9.8xPart BFind the value of y when x = 5
y = 9.8*5 = 49 NAnswer:
A. y = 9.8x
B. 49 newtons
Step-by-step explanation:
Part A
Definition of the given variables:
x = mass in kgy = gravitational force in newtonsIf the gravitational force is directly proportional to the mass, then:
[tex]y \propto x \implies y=kx \quad \textsf{(for some constant k)}[/tex]
Given:
x = 2 kgy = 19.6 newtonsSubstitute the given values into the equation and solve for k:
[tex]\implies 19.6=2k[/tex]
[tex]\implies k = 9.8[/tex]
Therefore, the direct variation equation is: [tex]y=9.8x[/tex]
Part B
To find the gravitational force of an object with mass of 5 kg, substitute x = 5 into the found equation from part A and solve for y:
[tex]\implies y=9.8(5)[/tex]
[tex]\implies y=49\:\: \sf newtons[/tex]
Question 13 of 25
True or false? The graph represents a function
Answer:
B. False
Step-by-step explanation:
This graph is not a function. The graph fails the Vertical Line Test.
Find the slope pls help
Answer:
1. Slope = 1
2. Slope = 3
3. Slope = -2
4. Slope = 2
Step-by-step explanation:
Okay so when we are finding the slope of two points we use the slope formula
[tex]slope = \frac{y_{2}-y_{1} }{x_{2}-x_{1}}[/tex]
What is the end behavior of the graph?
Answer:
As [tex]x[/tex] approaches infinity [tex]f(x)[/tex] approaches negative infinity.
Step-by-step explanation:
As you can see in the graph as [tex]x[/tex] grows larger in the negative direction, the [tex]y[/tex] increases in the negative direction too.
Thus:
[tex]\lim_{x \to -\infty} f(x) = -\infty[/tex]
Which of the following is a polygon?
A shape can only be classified as a polygon if:
(1) There must be no curves in the shape.(2) The shape is not opened. It has to be closed.(3) The sides of the shape must not intersect each other.Option A
We can see that the figure is opened. Therefore, the shape is not a polygon. According to (2), to classify a shape, a polygon, the shape must not be opened.
Therefore, this shape is not a polygon.
Option B
This shape is a polygon because it has no curves, it is not opened, and the sides of the shape are not forming an intersection.
Therefore, this shape is a polygon.
Option C
This figure has a side length intersecting another side length. Therefore, this figure is not a polygon. According to (3), to classify a shape, a polygon, the sides of the shape must not intersect each other.
Therefore, this shape is not a polygon.
Option D
This figure is not a polygon because a side length of the figure is curved. According to (1), To classify a shape, a polygon, there must be no curves in the shape.
Therefore, this shape is not a polygon.
Hence, Option B is correct.
is -5 < 3 ? plsss and tyyyyyy
Answer:
-5 is in the negatives, and 3 is positive, therefore greater than -5 three is greater than -5
I need answer bahahhsbshana
Answer:
answer is abraham lincoln
Step-by-step explanation:
FIND THE EXACT AREA OF THE SHADED
PLEASE HELP ILL GIVE BRAINLIESTTTTTT
drag each tile to the type of interest rate it describes
nominal interest rate
Real Interest Rate
the stated interest rate on an
considers Inflation
does not consider Inflation
reveals purchasing power
account
reflects the actual monetary
can be negative
Answer:
Nominal Interest Rate: Does not consider inflation provides a sense of purchasing power
Real Interest Rate: It describes the stated interest rate on an account and also considers inflation
Step-by-step explanation:
Real interest rate can be defined as the Nominal interest rate minus the inflation rate.
Nominal Interest Rate is the interest rate without taking into account the inflation
Answer:
NOMINAL INTEREST RATE:
1. The stated interest rate on an account.
2. Does not consider inflation.
3. Reflects the actual monetary amount earned
amount earned
REAL INTEREST RATE :
1. Considers inflation.
2. Reveals purchasing power.
3. Can be negative
Step-by-step explanation:
I literally just took this quiz and got them all correct.
What is the perimeter of polygon ABCD?
OA. 28 units
OB. 32 units
OC. 36 units
OD. 44 units
See attached screenshot
:)
Use the coordinate plane to write the ordered pair corresponding to point M. Six points are plotted on a coordinate plane. The horizontal axis is labeled x and it ranges from 0 to 8. The vertical axis is labeled y and it ranges from 0 to 8. Point T is plotted 5 units up from the origin. Point R is plotted 2 units to the right of the origin. Point Q is plotted 2 units to the right of the origin and 7 units up. Point P is plotted 6 units to the right of the origin and 1 unit up. Point N is plotted 7 units to the right of the origin and 6 units up. Point M is plotted 8 units to the right of the origin and 8 units up.
Answer:
where's the images and what are the coordinates?
Step-by-step explanation:
What is the approximate volume of the cylinder? Use 3.14 for T.
5 in.
16 in.
A. 126 in.
B. 153.86 in.
C. 1,256 in.
D. 7,121.52 in.
A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
What is a cylinder?A cylinder is a three-dimensional structure formed by two parallel circular bases connected by a curving surface. The circular bases' centres overlap each other to form a right cylinder.
Given the radius of the cylinder is 5 inches, while the height is 16 inches, therefore, the volume of the cylinder will be,
Volume of the cylinder = πr²h = π×(5)²×16 = 1,256.637 in³ ≈ 1,256 in³
Hence, the volume of the cylinder with a radius of 5 inches and a height of 16 inches is 1256 in³.
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What is the range of this set of numbers?
8,4,5, 0, 6, 2, 6, 10, 6,3
O A. 6
B. 5
O C. 10
O D. 9
Answer:
B. 5
Step-by-step explanation:
The range of a data set in statistics is the difference between the largest and the smallest values. While range does have different meanings within different areas of statistics and mathematics, this is its most basic definition, and is what is used by the provided calculator.
example, 2,10,21,23,23,38,38
38 - 2 = 36
Answer:
B. 5
Step-by-step explanation:
All you have to do is subtract the highest number by the smallest number so i just had to do:
8-3=5
the temperature in mayfield at 6pm was 5 degrees fahrenheit. by 11pm the temperature dropped 9 degrees. enter the temp in degrees fahrenheit at 11pm
Answer: the answer is - 4
Step-by-step explanation:
Ok so it decrased by 9 degrees so what you do is 5 - 9 which would be negative four. -4
Answer:
-4°F
Step-by-step explanation:
Starting temp minus amount dropped gives ending temp.
5 - 9 = -4
Find the indicated sum or difference 9-12:
9. 5+7
10. 7+(-9)
11. -5+20
12. -(-11)-7
Answer:
7,-2,15,4
Step-by-step explanation:
9. 7
10. -2
11. 15
12. 4
A 2-yard piece of twine costs $20.94. What is the price per foot?
Answer:
$3.49
Step-by-step explanation:
If 1 yard = 3 foot
then A 2-yard piece of twine = 6-foot piece of twine.
20.94 per foot is 3.49
as 20.94/3.49.
thus the price per foot is $3.49
NO LINKS!!! Please help me with this match
Step-by-step explanation:
Corresponding angles of similar figures are congruent.
Angles with vertex of same order number are corresponding.
m∠U = m∠C = 97°m∠V = m∠D = 124°m∠T =m∠B = 102°Answer:
m∠U =97°
m∠V = 124°
m∠T = 102°
Step-by-step explanation:
As TUVWX ~ BCDEF then the corresponding interior angles are the same.
Therefore:
m∠T = m∠B = 102°
m∠U = m∠C = 97°
m∠V = m∠D = 124°
m∠W = m∠E = 101°
m∠X = m∠F = 116°
PLEASE ANSWER, HELP MEEE
Answer:
your answer is 30 ..
hope this will help you!!
To find the surface area of a rectangular prism, we can use the following formula:
[tex]SA=2(lw+lh+wh)[/tex]
l = lengthw = widthh = heightSolving the QuestionWe're given:
l = 4 yardsw = 1 yardh = 3 yardsPlug the given measurements into the formula for surface area:
[tex]SA=2(lw+lh+wh)\\SA=2[(4)(1)+(4)(3)+(1)(3)]\\SA=2(4+12+3)\\SA=2(19)\\SA=38[/tex]
Therefore, the surface area of the rectangular prism is 38 yd².
Answer38 square yards
f(x)=(x−6) 2 −12.25 What are the zeros of the function? What is the vertex of the parabola?
Answer: Zeroes: 2.5 and 9.5 Vertex: (6, 12.25)
Step-by-step explanation:
:) Done on khan
-2x - 3y = -7
y = 6x - 11
O (4,3)
• (2,1)
O (1,2)
O (2,3
Answer:
[tex]B.(2,1)[/tex]
Step-by-step explanation:
what are the solutions of the equation f(x)=g(x)
0
1
2
3
4
Answer:
(1, 0 ) and (3, 6 )
Step-by-step explanation:
we are looking in the table for values of x that give both f(x) and g(x) the same value.
x = 1 → f(x) = g(x) = 0
x = 3 → f(x) = g(x) = 6
then the solutions to f(x) = g(x) are
(1, 0 ) and (3, 6 )
Answer:
1
3
Step-by-step explanation:
According to the table :
f(1) = 0 = g(1) ⇒ 1 is a solution to the equation f(x) = g(x)
f(3) = 6 = g(3) ⇒ 3 is a solution to the equation f(x) = g(x)
HELP PLEASE!! ASAP, Find the surface area of the sphere. Round your answer to the nearest hundredth.
Answer:
201.06
Step-by-step explanation:
A=4πr2 is the equation (r being radius)
4·π·(4)2≈201.06193
Please help fast! 100 POINTS
Answer:
65
Step-by-step explanation:
Answer: the answer is 41
Step-by-step explanation: 4+2+3+3+6+2+5+3+6+7=41
1. A home remodeling company charges a $50 consultation fee plus $150 per hour for labor.
[CG 3.0 F.IF-DOK3]
(a) Write an equation to represent the total cost of a job that takes "x" hours. (3points)
(b) How much would it cost if it takes 40 hours to complete a job? (3points)
(©) If you have $5000 to pay for the work, would it be enough for a job that takes 40
hours? Explain or show your reasoning. (2points)
(d) Would you describe this situation as linear or exponential? Explain why you think so.
(2 points)
Can someone please help me
An equation to represent the total cost of a job that takes "x" hours is "total cost = $50 + ($150 × x)". The situation can be described as linear.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
Given the cost of consulting is $50, while the cost of labour is $150 per hour.
A.) An equation to represent the total cost of a job that takes "x" hours.
Total cost = $50 + ($150 × x)
B.) Total cost is the labour works for 40 hours,
Total cost = $50 + ($150 × 40) = $6,050
C.) As found above the cost of working 40 hours is $6,050, therefore, the amount of $5,000 will not be enough.
D.) The situation can be described as linear.
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