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

Which of the following would not be a line in solving the equation:
7x-8-5x = 52
12x = 60
12x = 44
12x - 8 = 52
x = 5

Answers

Answer:

Step-by-step explanation:

Let's actually solve the equation.  By doing so we should readily see which of the given equatins are not part of the solution.

7x - 8 - 5x = 52 becomes 2x - 8 = 52 if we consolidate the x terms.  Next, we consolidate the constant terms on the right, obtaining 2x = 60.

Then x = 30 is the solution.

12x = 60 would not be part of the solution.

12x = 44 would not either.

12x - 8 = 52 would not either.

x = 5 would not be part of the solution.

Again:  The solution is x = 30.

Change this fraction into a decimal: 80/100

.8


.08


8.0

.008




will give brainlist!!!

Answers

Answer:

0.8

Step-by-step explanation:

80 divided by 100 = .8 or 0.8

NEED HELP ASAP!!!!! Can someone help me???

Answers

Answer:

F = 6x

O = -3x

I = 10x

L = -5

Step-by-step explanation:

FOIL follows the formula:

(a + b)(c + d) = ac + ad + bc+ bd

Answer:

F: (3x) (2x) = 6x^2

O: (3x) (- 1) = -3x

I: (5) (2x) = 10x

L: (5) (-1) = -5

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Indicate the equation of the given line in standard form.

The line that contains the point Q( 1, -2) and is parallel to the line whose equation is

y - 4 = 2/3 (x - 3)

Answers

Answer:

The equation of the line is;

3y = 2x-8

Step-by-step explanation:

Firstly, we need the to get the slope of the given line

To do this, we will write the equation of the line in the standard form

the standard form

is;

y = mx + b

where m is the slope and b is the y-intercept

y -4 = 2/3(x-3)

y -4 = 2x/3 - 2

y = 2x/3 -2 + 4

y = 2x/3 + 2

with respect to the given equation, the slope of the line is 2/3

Mathematically, when two lines are parallel, the slopes of the line are equal

So now, we want to find the equation of the line that has a slope of 2/3 and passes through the point (1,-2)

so;

y = 2x/3 + b

So substitute the values of (1,-2)

1 for x and -2 for y

-2 = 2/3(1) + b

-2 = 2/3 + b

b = -2 - 2/3

b = (-6-2)/3 = -8/3

So the equation of that line is;

y = 2/3x - 8/3

Multiply through by 3

3y = 2x - 8

Quadrilateral ABCD has the following coordinates A (0,0) B(0,3) C(5,5) D(5,2). What kind of quadrilateral is ABCD? Prove your answer

Answers

Answer:

Parallelogram

Step-by-step explanation:

Prove using diagram on graph paper (attached drawing)

Suppose that a family has an equally likely chance of having a cat or a dog. If they have two pets, they could have 1 dog and 1 cat, they could have 2 dogs, or they could have 2 cats.

What is the theoretical probability that the family has two dogs or two cats?
Describe how to use two different coins to simulate which two pets the family has.
Flip both coins 50 times and record your data in a table like the one below.

Result Frequency
Heads, Heads
Heads, Tails
Tails, Heads
Tails, Tails
Total 50
Based on your data, what is the experimental probability that the family has two dogs or two cats?
If the family has three pets, what is the theoretical probability that they have three dogs or three cats?
How could you change the simulation to generate data for three pets?

Answers

The theoretical probability that the family has two dogs or two cats is 1/3.

(branliest will be appreciated)

Seth bought glow-in-the-dark stars to
put on his ceiling. There are 5 big stars
and 25 little stars. He wants to make
constellations that each have 1 big
star. If he uses the same amount of
stars for each constellation, how many
little stars will each have?

Answers

Answer:

Each constellation will have 5 little stars.

Step-by-step explanation:

First, let's organize the information we have:

5 big stars25 little starsEach constellation should have 1 big starEach constellation should have the same amount of stars

Now, let's solve the problem:

Each constellation should have 1 big star, and Seth has 5 big stars, so we can infer that there would be 5 constellations.Since each constellation have 1 big star, and the amount of stars in each constellation is the same, the amount of little stars in each constellation are the same.We have 25 little stars, and there are 5 constellations; 25 ÷ 5 = 5, so each constellation have 5 little stars.

An outdoor art display is a metal cube with edge length 57 feet. What is the volume of the cube in cubic​ feet? In cubic​ yards?

Answers

Nevermind, my answer is wrong

Q9 The number that happens the most: *

A Mean
B Median
C Mode
D Range

Answers

Answer:

C

Step-by-step explanation:

The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

16 out of 25 is equal to what percent?

Answers

Answer:

64

Percentage Calculator: 16 is what percent of 25? = 64.

Step-by-step explanation:

PLZ MARK BRAINLIEST I REALLY NEED THEM TO LEVEL UP

64. It’s roughly 1/3rd of this question.

HELP!!!!!! BRAINLIEST AWARD!!!!!!
help with math problem below:

Answers

Answer:

Antonio is the right one

Answer:

∠ A = 123°

Step-by-step explanation:

The central angle A is equal to the arc that subtends it , so

∠ A = arc DE = 5x - 2

The angles subtended by the radii and tangents of a circle are supplementary

2x + 7 + 5x - 2 = 180 ← Antonio is correct

7x + 5 = 180 ( subtract 5 from both sides )

7x = 175 ( divide both sides by 7 )

x = 25

Then

∠ A = 5 - 2 = 5(25) - 2 = 125 - 2 = 123°

Suppose an arithmetic sequence has a common difference of -5. What is the next term after 105?

Answers

Answer:

         - 525

Step-by-step explanation:

[tex]a_{n+1}=a_n\cdot r[/tex]

So, if the common ratio is -5 the next term is always (-5) times the previous term.

105·(-5) = - 525

65/p • 3 when p = 5

Answers

Answer:

39

Step-by-step explanation:

65/5=13

13x3=39

Answer:

39

Step-by-step explanation:

Note that p = 5. Plug in 5 for p in the expression. Remember to follow the  

left-> right rule:

65/p • 3

65/5 • 3

(65/5)  •  3

(13)  •  3 = 39

39 is your answer.

~

Help
Write an equation in slope-intercept form of the line that passes through the given points.

Answers

Answer:

y = 1/2x+1

Step-by-step explanation:

Slope = Δy/Δx

The difference is y increases by 1 and difference in x increases by 2. So the slope is 1/2.

Slope-intercept form: y=mx+b

We take point (0,1) and input into this equation.

1= 1/2×0 +b

1 = b

it's all on the picture ​

Answers

The answer is 15
15 +9 = 24

Answer:

j = 15

Step-by-step explanation:

j + 9 = 24

j + 9 - 9 = 24 - 9

j = 15

1 kilogram 900 is it more than less than or equal to




plz help​

Answers

Answer: =

Step-by-step explanation:

Please please I beg you

Answers

Answer:

2x+2

hope it helped:))))))))

Answer:

2x + 2

Step-by-step explanation:

f(x) + g(x)

= 9 - 3x + 5x - 7 ← collect like terms

= 2x + 2

Find the volume of the cube in inches 3^ below. Then select the correct units
when entering your answer.

4 in.
4 in.
4 in.

Answers

The answer should be 64 in^3

hope this helps!

a soda company puts a different symbol on a soda cap each year. ​

Answers

Answer:

cool

Step-by-step explanation:

I need the Answers to this giving brainliest to the person who does not send me a unknown link and actually does the work

Answers

which question do you need to be answered? do you want all of them?

Answer: Look below!

Step-by-step explanation:You can use the Calc below in the pictures

1. √2/2

2. -√2/2

Proof it works!

Skill
Figure A is a scale image of figure B.
Area
Figure A
Area
probi
Quiz
Prace
upo
Figure B
Verti
supp
12
2
Figure A maps to figure B with a scale factor of
7
Unit
Test
What is the value of x?

Answers

Answer:

42

Step-by-step explanation:

you have to do 12 ÷2/7 to get the answer

y=3x+4 and 2x-3y=-26 solve for x and y

Answers

Step-by-step explanation:

2x - 3(3x+4) = 26

2x -9x -12 = 26

-7x = 38

x = -38/7

y = 3(38/7) +28/7

y = 142/7

The radius of a circle measures 11cm. what is the circumference of the circle?​

Answers

Answer:

C = 69.08

Step-by-step explanation:

C = 2πr

C = 22π or 69.08

A daily newspaper sells monthly subscriptions for $15. Each individual copy of the newspaper costs $0.75. In a month that has exactly 30 days, how much could be saved by purchasing a subscription instead of purchasing an individual copy each day?

Answers

Answer:

With the subscription, $7.5 will be saved.

Step-by-step explanation:

Giving the following information:

A daily newspaper sells monthly subscriptions for $15. Each copy of the newspaper costs $0.75.

First, we need to calculate the total cost of buying 30 newspapers individually:

Total cost= 0.75*30

Total cost= $22.5

Difference= 22.5 - 15= $7.5

With the subscription, $7.5 will be saved.

The equation A= 1750(1.04)t represents an account balance t years after the account was created. Which statement is correct?
A. The account balance will decrease 0.04% each year.
B. The account balance will increase 0.04% each year.
C. The account balance will decrease 4% each year.
D. The account balance will increase 4% each year.

Answers

Answer:

D. The account balance will increase 4% each year.

Step-by-step explanation:

Given the equation :

A= 1750(1.04)t

This is an exponential growth rate equation which has it's general format as :

A = A0 * (1 + r)^t

A0 = initial value,

Since (1 + r) is greater Than 1 ; then we conclude that it is a growth relation.

1 + r = 1.04

The rate, r = (1.04 - 1) = 0.04

r = 0.04 = (0.04 * 100%) = 4%

Hence, The account balance will increase 4% each year.

HELP ME don't put a link i will report you <3
only answer the box that is yellow

Answers

Answer:

Step-by-step explanation:

Answer:

the answer is 9

because 8 8/9 is first

1 plus 8 8/9 is 9

name the solid figure formed by the net

Answers

Answer:

A

Step-by-step explanation:

whats the measure of angle E ?

Answers

Answer:

57degrees

Step-by-step explanation:

The triangle is an isosceles triangle, hence m<D = m<E (base angles are equal)

Taking the sum of the angles and equating to 180

5x-4 + 4x+1 + 4x+1 = 180

5x+4x+4x-4+1+1 = 180

13x - 2 = 180

13x = 180 + 2

13x = 182

x =182/13

x = 14

Get m<E

m<E = 4x+ 1

m<E = 4(14)+ 1

m<E = 56+1

m<E = 57degrees

Hence the measure of m<E is 57degrees

Kyle held a balloon 8ft off the ground above his head and Ava is standing 15 feet directly to g the right of Kyle how far is Ava from the balloon

Answers

Answer:

17

Step-by-step explanation:

Pythagorean theory baby! Okay so the Pythagorean theory is a² + b² = c² so lets draw a triangle and label our sides. So we know 8² + 15² = c² so I'm going to find the square root of all of our numbers. We get 64 + 225 = c² so then add 64 + 225 = 289 then I take the square root of 289 which equals 17 . This answer also makes sense because out hypotenuse should always be bigger then the legs.

I'm pretty sure thats right, Hope this helps.

Joel has a 41 in board leaning up against a wall the board hits the wall 40 inch above the ground how far from the wall is the base of the board.​

Answers

Answer:

9

Step-by-step explanation:

41^2 - 40^2 = 81

The square root of 81 is 9. I hope this helps.

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