find value of X in cos(3x-30°)=sin(7x+50°)​

Answers

Answer 1

Answer:

7

Step-by-step explanation:

Given the expression

cos(3x-30°)=sin(7x+50°)

In trigonometry cosx = sin(90-x)

Hence

Cos(3x-30) = sin(90-(3x-30))

Cos (3x-30) = sin(90-3x+30)

Cos (3x-30) = sin(120-3x)

Substitute into the expression above

Sin(120-3x) = sin(7x+50)

120-3x = 7x+50

Collect like terms

-3x-7x = 50-120

-10x = -70.

x = 70/10

x = 7

Hence the value of x is 7


Related Questions

The length of the rectangle is 8 feet. The area is 32 square feet. What is the width of the rectangle?

Answers

Answer:

it's four

8×4=32

How do I sort them because it doesn’t quite make sense to me

Answers

Answer:

can't see image

Step-by-step explanation:

Higher internet rate on- initial consequences
Other 2 go to long term consequences

Select all graphs that are a function

Answers

Answer:

A C and D

Step-by-step explanation:

A P E X

jrjfjfjfjfjfjfjf jfjfjf jfjfjf jfjfjf

Pls, help thanks bye!! I will mark you brainiest ~

Answers

Answer:

[tex]x_{123}[/tex]49 just add it on

Step-by-step explanation:

Answer:

Step-by-step explanation:

9(2n + 1)

18n + 9

what is 4x – 97 + 12 – x = -80.5

Answers

Answer: x - 1.5

4x – 97 + 12 – x = -80.5

3 x - 85 = -80.5

3 x - 85 +85 = -80.5 + 85

3x = -80.5 + 85

3x = 4.5

x = 1.5

Step-by-step explanation: hope this helps

Answer:

x=1.5

Step-by-step explanation:

4x-97+12-x=-80.5

Combine like terms

-97+12=-85

4x-x=3x

now you have 3x-85=-80.5

add 85 to both sides and now you have

3x=4.5

Now divide 3 to both sides and you get x=1.5

please answer asap need answer

Answers

Answer:

ans is 62 only

Step-by-step explanation:

Solve the equation for the indicated variable

Answers

Answer:

-1

Step-by-step explanation:

5(3x+7)=20-2(x+1)

15x+35=20-2x-2

17x=-17

x=-1

check answer:

5(3(-1)+7)=20-2(-1+1)

5(4)=20-0

20=20

Solve this 7th grade math problem: 9= h/9

Answers

Answer:

H=81

Step-by-step explanation:

If 9=h/9 you multiply both sides by 9 to get h by itself, and end up with h=81.

h=81
simplify both sides and isolate the variable

bro i can’t fail this real talk i need help please i’ll give u a brainliest for your help please

Answers

Answer:

33.4933333333, rounded, [tex]33.5x^{3}[/tex]

4/3x3.14x2x2x2=33.4933333333

Answer:

58.6

Step-by-step explanation:

pi*r^2*h/3 is the formula to find a cone's volume

3.14*2^2*14/3 is 58.613 (3 repeating)

round to the nearest tenth

I REALLY NEED HELP ASAP

Answers

Answer:

I'm pretty sure it's C

Step-by-step explanation:

because that equation simplifyed = -7/8x-8

pls help me with my testt

Answers

Answer:

slope

Step-by-step explanation:

wisusushsheusueueheyehuee

A pop quiz has 4 multiple choice problems, all with 3 possible answers (A, B, or C,). You need to get at least 4 correct to pass. If you are completely unprepared and have to guess on every question, what is the probability that you will pass the quiz?

Answers

Answer:

The probability is 1/4, for me if I need to guess all blankly.

But if I am unprepared but if I use my brain it can be 3/4

Sooo, hope it helps!!!

help me please i'll make you brainiest

Answers

Answer:

1: 7 4/5 2: 5 1/2 3: 17 13/15

Step-by-step explanation:

What is the slope of the linear equation: y=-5x+6

Answer Choices:
A. -5
B. -5x
C. 1/5
D. 6

Answers

it is -5.............

18x-153=80
solve for x​

Answers

Answer:

x=12.9444444

Step-by-step explanation:

Answer:

x=12.94

Step-by-step explanation:

The weather report shows the 5-day forecast in St. Paul, Minnesota. What is the sum of the various temperatures over the period of five days?

Answers

Answer:

-2

Step-by-step explanation:

The sum of the temperatures is S = -2°C

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let the temperatures on different days be represented by the table

Now , total temperature is S = -6 + 3 + 4 - 2 - 1

On simplifying the equation , we get

S = -2°C

Hence , the temperature is S = -2°C

To learn more about equations click :

https://brainly.com/question/19297665

#SPJ2

1,500 people were surveyed and 30 out of every
100 people surveyed have freckles. Based on the
results of this survey, how many people do not
have freckles?

Answers

So since 1,500 people were surveyed and 30/100 have freckles, you would multiply both sides by 15 to get 450 and 1,500. So that means 450 people who took the survey have freckles i believe, so then you would subtract 1,500-450 and you are left with 1,050. The answer should be 1,050.

A rectangular napkin has an area of 88 square centimeters and a length of 8 centimeters.

What is the width of the napkin?

Answers

11 centimeters
This is because a rectangle has an area of length times width and so you can divide 88 by 8 to get 11

Answer:

11 cm

Step-by-step explanation:

a= l x w

88= l x 8

88/8= 11

so ll cm is the width of the napkin

A sales team estimates that the number of new phones it will sell is a function of the price that it sets. It estimates that if it

sets the price at x dollars, it will sell f(x) = 4,920 - 6x phones. Therefore, the company's revenue is x . (4,920 - 6x). Find

the price x that will maximize the company's revenue.

Answers

Answer:

410

Step-by-step explanation:

Revenue is given by the relation :

x . (4,920 - 6x)

F(x) = 4920x - 6x²

To obtain the price, x which maximizes revenue, we take the first derivative of the revenue function and equate to 0

F'(x) = 0

F'(x) = 4920 - 12x

4920 - 12x = 0

-12x = - 4920

x = 4920 / 12

x = 410

Price will be 410

Convert 5 1/6 to a decimal through long division.

Answers

Answer:5.83

Step-by-step explanation:

find the area of the circle r = 3 ft

Answers

Answer:

9π ft² or approximately 28.26 ft²

Step-by-step explanation:

The area of a circle is A=πr².

Plug 3 in for the radius.

A=π(3²)

A=9π ft²,

or using 3.14 for pi,

Approximately 28.26 ft².

I know this has nothing to do with school but I bought a new brush set for makeup and one brush was a bit weird so if anyone knows what it’s for please tell me

Answers

Answer:

It’s just messed up obviously just not made right

Step-by-step explanation:

Answer:Soak it in warm water with shampoo over night then let it dry

Step-by-step explanation:

James if four times as old as Lucy.If x represent Lucy's age, how would you represent James age​

Answers

Answer:

X4

Step-by-step explanation:

You would represent James’ age like this


JamesAgex

A rectangle has a height of x+ 9 and a width of x^2 + 2x
Express the area of the entire rectangle.
Your answer should be a polynomial in standard form.
X^2
+
2x
X
+
9

Answers

Answer:

x³ + 11x² + 18x

Step-by-step explanation:

(x² + 2x)(x + 9)

Step 1: Distribute x²+2x into x + 9.

x³ + 2x² + 9x² + 18x

Step 2: Combine like terms.

x³ + 11x² + 18x

The area of this rectangle is x³ + 11x² + 18x.

Answer:

Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x

Step-by-step explanation:

The height is (x + 9) and the width is (x^2 + 2x) and the the area of the rectangle is equal to: Area= height x width = (x + 9) (x^2 + 2x) = x^3 + 2x^2 + 9x^2 + 18x = x^3 + 11 x^2 + 18x

Your entry level position at the law firm is $34,000 and it increases by 2.5% each year.
A. Write an exponential function to represent this situation.
B. What will your salary be in 5 years? Round your answer to the nearest dollar.

pls I need this I'll give away the rest of my points​

Answers

Answer:

A) [tex]S(n) = 34000(1.025^{n})[/tex]

B) $38,468

Step-by-step explanation

[tex]34000 (1.025^{5}) = 38,467.8792[/tex]

I need help i will give brailsit no scammer i will report and i only have 5 min

Answers

1st: (20,110)

2nd: (95,10)

Hope this helps!

find the product and reduce to lowest terms 4/9 x 18​

Answers

Answer:

8

Step-by-step explanation:

its cuuz it is

Answer:

x = 8

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    4/9-(x/18)=0

Step by step solution :

STEP

1

:

            x

Simplify   ——

           18

Equation at the end of step

1

:

 4     x

 — -  ——  = 0

 9    18

STEP

2

:

           4

Simplify   —

           9

Equation at the end of step

2

:

 4     x

 — -  ——  = 0

 9    18

STEP

3

:

Calculating the Least Common Multiple :

3.1    Find the Least Common Multiple

     The left denominator is :       9

     The right denominator is :       18

       Number of times each prime factor

       appears in the factorization of:

Prime

Factor   Left

Denominator   Right

Denominator   L.C.M = Max

{Left,Right}

3 2 2 2

2 0 1 1

Product of all

Prime Factors  9 18 18

     Least Common Multiple:

     18

Calculating Multipliers :

3.2    Calculate multipliers for the two fractions

   Denote the Least Common Multiple by  L.C.M

   Denote the Left Multiplier by  Left_M

   Denote the Right Multiplier by  Right_M

   Denote the Left Deniminator by  L_Deno

   Denote the Right Multiplier by  R_Deno

  Left_M = L.C.M / L_Deno = 2

  Right_M = L.C.M / R_Deno = 1

Making Equivalent Fractions :

3.3      Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example :  1/2   and  2/4  are equivalent,  y/(y+1)2   and  (y2+y)/(y+1)3  are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

  L. Mult. • L. Num.      4 • 2

  ——————————————————  =   —————

        L.C.M              18  

  R. Mult. • R. Num.       x

  ——————————————————  =   ——

        L.C.M             18

Adding fractions that have a common denominator :

3.4       Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

4 • 2 - (x)     8 - x

———————————  =  —————

    18           18  

Equation at the end of step

3

:

 8 - x

 —————  = 0

  18  

STEP

4

:

When a fraction equals zero :

4.1    When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

 8-x

 ——— • 18 = 0 • 18

 18

Now, on the left hand side, the  18  cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

  8-x  = 0

Solving a Single Variable Equation:

4.2      Solve  :    -x+8 = 0

Subtract  8  from both sides of the equation :

                     -x = -8

Multiply both sides of the equation by (-1) :  x = 8

One solution was found :

x = 8

                 

hi again :) it's me again

Answers

Answer:

Heyyy

Step-by-step explanation:

Hiiiiiiiiiiiiiiiiiiiiiiiiii

A substance weighing 961 ounces decays at a rate of 3.2% PER HOUR. What is the weight of the substance after ONE DAY?

Answers

It would be 961 x (1-3.2(24)) and that would be 961(.232)= 222.952

Answer:

222.952 ounces

Step-by-step explanation:

3.2% of 961 = 30.752

Hours in one day = 24 Hours

30.752 x 24 = 738.048

961 - 738.048 = 222.952

Khloe rolls a standard six-sided die, numbered from 1 to 6. Which word or phrase
describes the probability that she will roll an even number?
an equal chance or 50-50
O certain
Submit Answer
unlikely
O impossible

Answers

Answer:

It would be an equal chance

Step-by-step explanation:

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