Find a possible solution to the equation cos(x+2)= sin(3x)

Answer:

[tex]1[/tex]

Step-by-step explanation:

[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = 5 - 4 = 1[/tex]

or

[tex]5 - \frac{t}{3} = \frac{5}{1} - \frac{12}{3} = \frac{15 - 12}{3} = \frac{3}{3} = 1 [/tex]

Hope this helps ;) ❤❤❤

Answer:

csc

A

, as desired!

Step-by-step explanation:

cos

2

A

sin

A

+

sin

2

A

cos

A

,

=

cos

2

A

cos

A

+

sin

2

A

sin

A

sin

A

cos

A

,

=

cos

(

2

A

−

A

)

sin

A

cos

A

,

=

cos

A

sin

A

cos

A

,

=

1

sin

A

,

=

csc

A

, as desired!

Answer:

[tex]\frac{7}{15}[/tex]

Step-by-step explanation:

Given

[tex]\frac{16-4(5)}{2(6)+8}[/tex] + [tex]\frac{2}{3}[/tex]

= [tex]\frac{16-20}{12+8}[/tex] + [tex]\frac{2}{3}[/tex]

= [tex]\frac{-4}{20}[/tex] + [tex]\frac{2}{3}[/tex]

= - [tex]\frac{1}{5}[/tex] + [tex]\frac{2}{3}[/tex]

We require the fractions to have a common denominator of 15

Multiply the numerator/ denominator of - [tex]\frac{1}{5}[/tex] by 3 and

Multiply the numerator/ denominator of [tex]\frac{2}{3}[/tex] by 5

= - [tex]\frac{3}{15}[/tex] + [tex]\frac{10}{15}[/tex]

= [tex]\frac{7}{15}[/tex]

Answer:

Original number = 54

Reversed number = 45

Step-by-step explanation:

Let the tens place digit be x and unit's place digit be y.

Therefore, required no. = 10x + y

Number obtained after interchanging the digits = 10y + x

According to the given condition:

[tex]10y+ x = \frac{5}{6} (10x + y) \\ 6(10y + x) = 5(10x + y) \\ 60y + 6x = 50x + 5y \\ 60y + 6x - 50x - 5y = 0 \\ 55y - 44x = 0 \\ 11(5y - 4x) = 0 \\ 5y - 4x = 0.....(1) \\ according \: to \: the \: second \: condition \\ x - y = 1 \\ x = y + 1....(2) \\ from \: equations \: (1) \: and \: (2) \\ 5y - 4(y + 1) = 0 \\ 5y - 4y - 4= 0\\ y - 4 = 0 \\ y = 4 \\ substituting \: y = 4 \: in \: equation \: (2) \\ x = 4 + 1 \\ x = 5 \\ \\ 10x + y = 10 \times 5 + 4 = 50 + 4 = 54 \\ 10y + x = 10 \times 4 + 5 = 40 + 5 = 45 \\ [/tex]

Answer:

24

Step-by-step explanation:

multiples for 3=3,6,9,12,15,18,21,24

Multiples for 8=8,16,24

The first one that matches for both is 24

Answer: 8

Step-by-step explanation:

if n represents the number:

5(n - 3) = 25

(distribute)

5n - 15 = 25

(add 15 to both sides)

5n = 40

(divide both sides by 5 to isolate "n")

n = 8

Answer:

70 [tex]\sqrt{3}[/tex]

Step-by-step explanation:

300    

6            50

|    \          |      \

2     3      5      10

                         |    \

                         5     2

2×5=10

10×7=70

70[tex]\sqrt{3}[/tex]

Answer:

70√3

Step-by-step explanation:

7√300 =

7√100*3

7√10*10*3     (√100=√10²=10)

7*10√3

70√3

Answer:

Any number raised to the zeroth power is equal to 1.

Step-by-step explanation:

x^0=1 is a number raised to the zeroth power so it is automatically equal to 1.

Answer:

(d/2)^2 pi

Step-by-step explanation:

To find the area of a circle the formula is A=pi times radius sqaured. Since we do not have the radius we need to find it. The radius will always be half the diameter hence the (d/2). This will give us the radius, next is just to complete the area formula by squaring the radius and multiplying it by pi.  i hope this helps :)

The circle's area, in function of it's diameter, is given by:

[tex]A = \frac{\pi d^2}{4}[/tex]

----------------------

[tex]A = \pi r^2[/tex]

[tex]A = \pi r^2[/tex]

[tex]A = \pi (\frac{d}{2})^2[/tex]

[tex]A = \pi \frac{d^2}{4}[/tex]

[tex]A = \frac{\pi d^2}{4}[/tex]

Which is the area of a circle of diameter d.

A similar problem is given at https://brainly.com/question/16891462

Answer:

2.323232…

2.32222…

-2.3

Negative 2.ModifyingAbove 3 with bar

Step-by-step explanation:

-2.3 is the rational number among the given options.

A number system is defined as a system of writing to express numbers.

Rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q.

Any decimal number can be either a rational number or an irrational number, depending upon the number of digits and repetition of the digits.

Any decimal number whose terms are terminating or non-terminating but repeating then it is a rational number

In the given decimal numbers 2.323232..., 2.32222... 2.323148... and -2.3.

The first three decimal numbers are irrational because it is not terminating and -2.3 is rational.

Hence, -2.3 is the rational number among the given options.

To learn more on Number system click:

https://brainly.com/question/22046046

#SPJ2

Answer:

16.295

Step-by-step explanation:

Answer:

ifk

Step-by-step explanation:

tdf

Answer:

6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.

Step-by-step explanation:

The fraction of the employee's work shift is equal to the given time divided by the work shift. That is:

[tex]x = \frac{6\,h}{8\,h}[/tex]

[tex]x = \frac{6}{8}[/tex]

[tex]x = \frac{3}{4}[/tex]

6 hours represents [tex]\frac{3}{4}[/tex] of the 8-h work shift.

Answer: (2,5) is 5 units above (2, 0)

Step-by-step explanation: The first point has a 5 in the y-axis (up and down) while the second point is on the x-axis

Answer:

The fraction of people for 4th movie is 0.1167

Step-by-step explanation:

The number of people that bought a comedy movie ticket = 2/3

The number of people that bought the horror movie ticket = 1/4

The number of people that bought kids movie ticket = 3/10

Total number people for three movies = 2/3 + ¼ + 3/10 = 0.8833

The fraction of people for 4th movie = 1 – 0.8833 = 0.1167

Answer:

Line SU is 16

Step-by-step explanation:

ST + TU = SU

7 + 9 = 16

You add 9 and 7 to get 16.

Jan's age = [tex] 4\frac{5}{6}[/tex] years

Sister's age =[tex] 9\frac{2}{3} \: years[/tex]

Step-by-step explanation:

Jan's age = x years

Sister's age = 2x years

Brother's age = 3x years

According to the given condition:

x + 2x + 3x = 29

6x = 29

x = 29/6

x = [tex] 4\frac{5}{6}[/tex] years

2x = [tex] 2\times \frac{29}{6}= \frac{29}{3}=9\frac{2}{3} \: years[/tex]

Therefore,

Jan's age = [tex] 4\frac{5}{6}[/tex] years

Sister's age =[tex] 9\frac{2}{3} \: years[/tex]

Answer:

Step-by-step explanation:

Answer:

-4x²y + 17xy² - 15xy

Step-by-step explanation:

Step 1: Write out expression

6x²y + 8xy² - 10x²y - 15xy + 9xy²

Step 2: Combine like terms (x²y)

-4x²y + 8xy² - 15xy + 9xy²

Step 3: Combine like terms (xy²)

-4x²y + 17xy² - 15xy

This isn't an answer, rather a suggestion.

I would use the website desmos to help you out. But it won't help you forever like when you do quizzes or tests.

Directions:

Make the variable "y" all by itself. It need to be solo. For example for problem 34, negate 3 on each side and you will have "y=1/2(x+2)+3".

From there, plug in numbers into the x variable. (I suggest using common factors of "2" since the number your multiplying is 1/2.

Again using 34,

y=1/2(x+2)+3

y=1/2(2+2)+3

y=1/2(2+2)+3

y=1/2(4)+3

y=2+3

y=5

The coordinates are (2,5). Plot the coordinate.

Repeat the process.

Answer:

dos  palabras viva el tequila

Step-by-step explanation:

atu vieja se lo voy a meter xd xd xd xd xd xd xd xd xd xd xd xd

Answer:

x = -2

Step-by-step explanation:

For this problem, we must simply solve for x.  To do this, we will need equation operations, and the use of the distributive property.

Let's work this line by line until we have the value for x:

3{-x + (2x + 1)} = x - 1

3*-x + 3*(2x + 1) = x - 1

-3x + 6x + 3 = x - 1

3x + 3 = x - 1

2x = -4

x = -2

Now we can check our answer for x by plugging back into the original equation and see if the left hand side is equal to the right hand side:

3{-x + (2x + 1)} = x - 1

3{-(-2) + (2(-2) + 1)} ?= (-2) - 1

3{2 + (-4 + 1)} ?= -3

3{2 + (-3)} ?= -3

3{-1} ?= -3

-3 == -3

Thus, we have found the solution for x to be equivalent to negative 2.

Cheers.

Answer:

Step-by-step explanation:

3{-x + (2x + 1)} = x - 1

First solve the terms in the bracket first

That's

3 (- x + 2x + 1 ) = x - 1

3( x + 1) = x - 1

Expand the terms in the bracket

We have

3x + 3 = x - 1

Simplify

3x - x = - 1 - 3

2x = - 4

Divide both sides by 2

We have the final answer as

Hope this helps you

Answer:

[tex]28-17y[/tex]

Step-by-step explanation:

[tex]3(y+6)+5(2-4y)[/tex]

Expanding:

[tex]3y+18+10-20y[/tex]

[tex]28-17y[/tex]

Answer:

-17y+18

Step-by-step explanation:

[tex]3(y+6)+5(2-4y)\\= (3*y + 3*6) + (5*2 - 5*4y)\\= 3y + 18 + 10 - 20y\\= -20y + 3y +18 +10\\=-17y+28[/tex]

4+(19x)

four plus 19 and a number

Answer:

19+4x

Step-by-step explanation:

We can write an expression:

19x+4x

"Four more": +4x

product of 19 and a number: 19x

Answer:

f(x)⁻¹ = -5/3x - 5

Step-by-step explanation:

y = -3/5x - 3

x = -3/5y - 3

x + 3 = -3/5y

(x + 3)(-5/3) = y

-5/3x - 5 = y

Answer:

740

Step-by-step explanation:

Let the AP be a, a+d, a+2d, a+3d, ...

The  term of AP is given by:

[tex]t n =a+(n-1)d[/tex]

We are given that the third term is 7.

[tex]t 3=7[/tex]

⇒  [tex]a+(3-1)d=7[/tex]

⇒[tex]a+2d=7 ---(1)[/tex]

Also, the seventh term is 2 more than three times the third term.

[tex]t7=3t3+2[/tex]

⇒[tex]a+ (7-1)d=3(a+(3-1)d)+2[/tex]

⇒[tex]a+6d=3(a+2d)+2[/tex]

⇒[tex]a+6d=3a+6d+2[/tex]

⇒[tex]-2a=2[/tex]

⇒[tex]a=-1[/tex]

We can put it in (1)

[tex]a+2d=7[/tex]

⇒[tex](-1)+2d=7[/tex]

⇒[tex]2d=8[/tex]

⇒d=4

Now, the Sum of n terms of an AP is given by the formula:

[tex]sn=\frac{n}{2}(2a+(n-1)d)[/tex]

So, Sum of first 20 terms would be:

[tex]s 20=\frac{20}{2}(2(-1) +(20-1) x 4)[/tex]

⇒[tex]s20=10(-2+19 x 4)[/tex]

⇒[tex]s 20=10 x(-2+76)[/tex]

⇒[tex]s 20= 10 x 74[/tex]

⇒[tex]s 20=740[/tex]

Thus, The Sum of first 20 terms of the AP is 740.

Answer:

no it is 1

Step by step instructions:

since there is no number for y it will be one

Answer:

integers contain 0, all negative and +ve whole number!!

Since -3/5 is not a whole number so not an integer!

Step-by-step explanation:

Using translation concepts, it is found that the dotted graph is given by:

f(x - 1) - 4

------------------

A similar problem is given at https://brainly.com/question/18405655

Answer:

1/3=117......117x3=351

Step-by-step explanation:

/ is my fraction sign btw

the answer is 351!!