Which expression is equivalent to sin(1.8x) sin(0.5x)

Which Expression Is Equivalent To Sin(1.8x) Sin(0.5x)

Answers

Answer 1

Answer: 0.5(cos 1.3x − cos 2.3 x)

Step-by-step explanation:

Hey there!

In trigonometry which relates the sides and angles of the triangle, there is an identity which states that,

                    (sinA) (sinB) = 0.5(cos (A − B) − cos (A + B) )

In this item, our A and B are 1.8x and 0.5x, respectively.  

Substituting,

                  sin(1.8x)sin(0.5x) = 0.5(cos (1.8x − 0.5x) - cos(1.8x + 0.5x))

                  sin(1.8x)sin(0.5x) = 0.5(cos 1.3x − cos 2.3 x)

~I hope I helped you! :)~

Answer 2

Answer:

It is C. 0.5(cos 1.3x − cos 2.3 x)

Step-by-step explanation:

I just took the test on PLATO


Related Questions

IN
19. 5x + 7 < 2x + 1
How to solve

Answers

Answer:

x < - 2

Step-by-step explanation:

Step 1:

5x + 7 < 2x + 1           Equation

Step 2:

3x + 7 < 1        Subtract 2x on both sides

Step 3:

3x < - 6         Subtract 7 on both sides

Step 4:

x < - 6 ÷ 3        Divide

Answer:

x < - 2

Hope This Helps :)

What is the decimal equivalent of 18/5

Answers

The correct answer is 3.6 because you only divide 18 by 5 and you'll get your answer.

The decimal equivalent of 18/5 is 3.6.

What is the decimal equivalent of 18/5?

To convert a fraction to a decimal, you divide the top number by the bottom number. In this situation, you take the number 18 and divide it by the number 5.

When you divide, you get 3 as your answer and you have 3 left over. So, the decimal equivalent is 3. 6

Learn more about decimal

https://brainly.com/question/703656

#SPJ6

2 + 31 X
To
+ 14 x
10
2.345
100
O
I

Answers

Answer:

12-12=21

Step-by-step explanation:

i think it is that

2/7(x+4)=−6 help
x=−35

x=−25

x = 25

x =35

Answers

Answer:

x= -25

Step-by-step explanation:

During one week, Sheila made several changes to her bank account. She made four withdrawals of $40 each from an ATM. She also used her check card for a $156 purchase. Then she deposited her paycheck of $375. By how much did the amount in her bank account change during that week?

Answers

Answer:

179

Step-by-step explanation:

40+156=196

375-196= $179.00

if I'm not wrong

Answer: $59 increase

Step-by-step explanation: since we don't know how much she had in her bank account prior to making 4 withdrawals it's hard to find the answer so a like and rating would be appreciated. We know she withdrew $40 dollars 4 times which would mean she withdrew $160 dollars, then she used her card for a $156 dollar purchase, so if we add $160 and $156 dollars we get $316 dollars spent. Then she deposited a check of $375 dollars into the bank account so we have to subtract $316 from $375 dollars to get $59 dollars, now since we subtracted and we are left with an extra amount rather than the money wasted we started with it means it's an increase as we are left with $59 and not with a price lower than $316.

1/6 = 5/12 + p

Solving Equations.

Answers

Answer: p= -3/12 or p= -.25

Leyla needs to hire a plumber to fix a few things around her house. She will need plumbing service for a total of 3 hours. Which plumbing service should she go with to save money? How much will she save? Justify your answer.

Answers

Great! So let’s solve for Joe’s Plumbing charges first. To find his price for 3 hours, solve J(3)=45(3)=$135.

Now let’s find Mark’s Plumbing charges. To find his price for 3 hours, plug 3 into M(t)=40t+25. So, M(3)=40(3)+25=$145.

Therefore, Joe’s Plumbing is cheaper than Matt’s plumbing by 10 dollars for a 3 hour job.

(a4b-5c3)2 please solve

Answers

Answer: I thibk it is

a^8c^6

_______

b^10

Please help me with this

Answers

Answer:

b.   [tex] f^{-1}(x) = x^3 - 2 [/tex]

Step-by-step explanation:

[tex] f(x) = \sqrt[3]{x + 2} [/tex]

[tex] y = \sqrt[3]{x + 2} [/tex]

[tex] x = \sqrt[3]{y + 2} [/tex]

[tex] (x)^3 = (\sqrt[3]{y + 2}^3 [/tex]

[tex] x^3 = y + 2 [/tex]

[tex] y = x^3 - 2 [/tex]

[tex] f^{-1}(x) = x^3 - 2 [/tex]

Answer: b.   [tex] f^{-1}(x) = x^3 - 2 [/tex]

Is -20 solution x/-10=2?

Answers

Answer:

Yes

Step-by-step explanation:

Multiply -10 on both sides so x=-20

Can someone please help me with this?

Answers

Answer:

Domain is the time in minutes

Range is the amount of water in liters

y≤75 liters

x≤15 minutes

hellllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllppppppppppppppppppppppppp

Answers

Answer:

A has 25 yd on each side and B has 16 ft each side. Please mark Brainliest since I was the first one to respond

Step-by-step explanation:

Answer: (a) 25yd.

              (b) 8 ft

Step-by-step explanation:

(a) Since each side of the square are equivalent and there are four sides of a square. So you do 100÷4=25

(b)The formula for a square is A=bh.

Since 8x8=64.

is the answer infinite, zero, or indefinite
2x - 1 = 1 - 2x

Answers

Answer:

x = 1/2

General Formulas and Concepts:

Pre-Algebra

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Terms/Coefficients

Step-by-step explanation:

Step 1: Define

Identify

2x - 1 = 1 - 2x

Step 2: Solve for x

[Addition Property of Equality] Add 2x on both sides:                                  4x - 1 = 1[Addition Property of Equality] Add 1 on both sides:                                     4x = 2[Division Property of Equality] Divide 4 on both sides:                                 x = 2/4Simplify:                                                                                                             x = 1/2

Questions on picture. Please help

Answers

Answer:

A) 2

Step-by-step explanation:

We already know that [tex]i[/tex] equals -1, so we can substitute that into the expression.

[tex](\sqrt{3} +(-1))(\sqrt{3} -(-1))\\(\sqrt{3} -1)(\sqrt{3}+1)[/tex]

Now we can use the distributive property to solve the rest

[tex](\sqrt{3} -1)(\sqrt{3}+1)\\\sqrt{3} *\sqrt{3} +\sqrt{3} -\sqrt{3}-1\\ 3+0-1\\=2[/tex]

Hope this helps! I apologize if I get this incorrect.

(3x 2)*7* _ x 12 x 7)​

Answers

3528x^3

when you look it up remove the bar at the bottom or its weird right?

What does the pattern in the residual plot indicate about the type of model?

a. The pattern is random, indicating a good fit for a nonlinear model.

b. The pattern shows the points are far from the zero line, indication a good fit for a linear model.

c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

e. The pattern is random, indicating that the model is unable to be determined.

Answers

Answer:   c. The pattern shows the points are far from the zero line, indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

Step-by-step explanation:

A residual plot is a graph that represents

residuals on the vertical axis independent variable on the horizontal axis.

Two main kids of plot are there.

First plot gives a random pattern, indicates a good fit for a linear model.

Other plots are non- random, indicates a good fit for a non- linear model.

Two points are correct for any residual plots :

c. The pattern shows the points are far from the zero line( basically u-shaped), indicating a good fit for a nonlinear model.

d. The pattern is not random, indicating a good fit for a nonlinear model.

Examine triangle ABC.


Triangle A B C. Angle B is 79 degrees. Exterior angle to A is (x + 5) degrees and the exterior angle to C is x degrees. What is the value of x?

37

48

127

138

Answers

Answer:

x=127

Step-by-step explanation:

total sum of all angle of triangle is 180 degree

Now,

taking angle A let interior angle be Y

taking angle C let interior angle be Z

Again, In angle A

the sum of interior angle and exterior angle is 180 degree being staright line

Or, y+(x+5)=180

or,x+y=180-5

or, x+y=175

or,y=175-x --------eqn 1

In angle C

the sum of interior angle and exterior angle is 180 degree being staright line

or, x+z=180

or, z=180-x ----------eqn2

Again, In triangle ABC

total sum of all angle of triangle is 180 degree.

Angle A+ Angle B + AngleC=180

Or, y+79+z=180 -------eqn3

putting the value of eqn-1 and eqn-2 in eqn-3

Or, 175-x+79+180-x=180

Or, 431-180= 2x

Or, 254÷2=x

hence X= 127 degree

Answer:

c127

Step-by-step explanation:

Xavier is driving home. He starts 250 miles from home and his car can travel 28 miles per gallon of gasoline he uses. Xavier stops at a rest stop that is 100 miles from home. Let g be the amount or gas he has used at that point. Set up and solve an equation for how much gas Xavier used to get to the rest stop.

Answers

Answer:

For 100 miles he uses 3.571 gallons of gasoline.

In equation form it is y/x*100

Step-by-step explanation:

Unitary Method

He travels 28 miles per gallon of gasoline.

For 1 mile he uses  1/28 gallons

For 100 miles he uses 1/28 * 100= 100/28= 3.571 gallons of gasoline.

Let x be the miles and y be the gallons of gasoline used to travel x miles.

Then for 1 mile  the gallons of gasoline used will be y/ x gallons.

For 100 miles  the gallons of gasoline used will be y/x *100 gallons.

In equation form it is y/x*100 gallons for 100 miles where x is the number of miles and y is the amount of gallons.

Imagine that you are doing an exhaustive study on the children in all of the daycares in your school district. You are particularly interested in how much time children spend in active play on weekends. You find that for this population of 2,431 children, the average number of minutes spent in active play on weekends is μ = 65.87, with a standard deviation of σ = 87.08. You select a random sample of 25 children of daycare age in this same school district. In this sample, you find that the average number of minutes the children spend in active play on weekends is M = 59.28, with a standard deviation of s = 95.79.

The difference between M and mu is due to the sampling error is ______.

Answers

Answer: The difference between M and mu is due to the sampling error is -6.59 .

Step-by-step explanation:

As per given:  

in population, the average number of minutes spent in active play on weekends is μ = 65.87

In sample, the average number of minutes the children spend in active play on weekends is M = 59.28

Now, the difference between M and μ is due to the sampling error is M- μ

= 59.28  - 65.87

= -6.59

So, the difference between M and mu is due to the sampling error is -6.59 .

what makes this statment true 9^-2=?
a)81
b)18
c)1/81
d)-1/81

Answers

The answer to this statement is c

Write a loss of $20 as an integer.

Answers

Answer:

-20

Step-by-step explanation:

you loss means it's a negative number

Answer:

-20

Step-by-step explanation:

-20 if added to a number, such as 40, it's would result in 20.

Please help me I need to solve by factoring!! ​

Answers

Answer:

x=5

Step-by-step explanation:

3x^2=15x

Subtract 15x from both sides

3x^2-15x=0

Factor out 3x

3x(x-5)=0

Since 0 divided by any number is zero, we get that:

x-5=0

x=5

Please help I have no clue how to do this

Answers

Answer:

D

Step-by-step explanation:

The Correct Answer Is D, You Will Estimate All Of Your Answers Up, And One Down.

1. A hexagon is inscribed in a circle. If the difference between the area of the circle and the area
of the hexagon is 24 m”, use the formula for the area of a sector to approximate the radius
of the circle. Give an exact answer( doesn't have to be rationalized) and round to 2 decimals.

Answers

Answer:

The radius, r ≈ 6.55 m

Step-by-step explanation:

The given parameters are;

An inscribed hexagon in a circle

The area of the hexagon = Area of the circle - 24 m²

The formula for the area of the circle = π·r² = π × r²

The area of each of the six equilateral triangle in the hexagon = √3/4 × r²

Where;

r = The radius of the circle

The area of a sector of a circle in which the equilateral triangle is inscribed = 60/360×π·r² = 1/6×π·r² = 1/6 × Area of the circle

Given that the sector of the circle in which one of the six equilateral triangles of the hexagon is inscribed is 1/6 the area of the circle, the difference in area between the equilateral triangle and the sector = 24/6 = 4

Therefore, the difference in the area between the sector of the circle and the area of the equilateral triangle = 4 m²

We then write;  1/6×π·r²- √3/4 × r² = 4

r²·(1/6×π- √3/4) = 4

r² = 4/(1/6 ×π - √3/4) = 48/(2·π -3·√3)

r = √(48/(2·π -3·√3) = 6.55 m to 2 decimal places

The radius, r ≈ 6.55 m.

Yall already know im stuck again will mark brainlyest

Answers

Answer:

1. 16

2. 1

3. 1

4. 4

5. 2

6. 8

7. 1

8. 9

9. 90

10. 10

Step-by-step explanation:

(Help!!)Select all the true statements.

Answers

Answer:

the first choice, the second choice, and the last choice

Step-by-step explanation:

5 and 6 because they are alternate angles

2 and 3 because they are corresponding angles

2 and 4 because they are corresponding angles

Write each equation in slope-intercept form of the equation of a line. Underline the slope and circle the y-intercept in each equation.
2y–6=0

The slope − intercept form is :
The slope is:
The y − intercept is ( )
,
).

Answers

Answer:

see below:

Step-by-step explanation:

2y–6=0

a.  slope intercept form using y = mx + b

   y = 6/2

   y = 3

b.  slope: use the slope intercept form: y = mx + b

    slope = m = 0

c.  y-intercept = (0,3)

Answer:

slope intercept form: y=3

the slope:0

the y-intercept(0,3)

Step-by-step explanation:

What is equivalent to ³√27a³b⁷

Answers

Answer:uu

Step-by-step explanation:

HELP QUICK PLEASE!!!
Which pairs of quadrilaterals can be shown to be congruent using rigid motions?



Select Congruent or Not Congruent for each pair of quadrilaterals.
Congruent Not Congruent


quadrilateral 1 and quadrilateral 2

– quadrilateral 1 and quadrilateral 2

– quadrilateral 1 and quadrilateral 2
quadrilateral 1 and quadrilateral 3

– quadrilateral 1 and quadrilateral 3

– quadrilateral 1 and quadrilateral 3
quadrilateral 1 and quadrilateral 4

– quadrilateral 1 and quadrilateral 4

– quadrilateral 1 and quadrilateral 4
quadrilateral 2 and quadrilateral 3

– quadrilateral 2 and quadrilateral 3

– quadrilateral 2 and quadrilateral 3
quadrilateral 2 and quadrilateral 4

– quadrilateral 2 and quadrilateral 4

– quadrilateral 2 and quadrilateral 4
quadrilateral 3 and quadrilateral 4

Answers

Answer:

1, 4 nope 2, 3 yep

Step-by-step explanation:

please help me and show all work 30 points
5x-(3x-6)=18

2(3x-4)=10

2x+7=5x+16

Answers

Answer:

5x-3x-6=18

2x=18+6

2x=24

x=24÷2

x=12

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