Mathematics College

if Sin 3x= Cos (x-60), find the value of x​

Answers

Answer 1

Answer:

x = 15

Step-by-step explanation:

Assuming 3x and x-60 are in degrees, you can use:

cos(a) = sin(a+90)

To rewrite the equation as:

sin(3x) = sin(x-60+90)

sin(3x) = sin(x+30)

3x = x+30

2x = 30

x = 15

But, solving 3x = x+30 which simplifies to x=15 is not the only solution to this equation, as you can see in below picture. Finding all solutions is a bit more work, but maybe that is not required in your case.

If Sin 3x= Cos (x-60), Find The Value Of X

Related Questions

In ΔTUV, v = 49 inches, u = 47 inches and ∠U=65°. Find all possible values of ∠V, to the nearest degree.

Answers

Answer: 16

Step-by-step explanation:

sin M/6.3=sin 21/8.2

6.3 sin 21/8.2=0.27533147

sin^-1(0.27533147)=15.981=16

Suppose that J and K are points on the number line. If Jk=5 and J lies at -12 where could K be located?

Answers

k would be located at

Find dy/dx by implicit differentiation.
7x^2 – 2y^2 = 16

dy/dx = ?

Answers

Answer: ANSWER DOWN BELOW

Step-by-step explanation:

Lashonda runs 3 miles in 28 minutes. At the same rate, how many miles would she run in 42 minutes? miles ?​

Answers

Answer:

4.5 miles

Step-by-step explanation:

28x = 126

divide each side by 28

x = 126/28

x = 4.5 miles

Find the area of the following figure:

Answers

Answer:

91 cm squared

Step-by-step explanation:

Find the area of the rectangle 7 x 10=70

Triangle are (6 x 7)/2=21

Add 21+70=91

Answer:

91

Step-by-step explanation:

A hockey player earns 2 million in 2015 during the next 10 years to earnings increase 5% each year write an explanation growth model giving the earnings Y in millions of dollars T years after 2015 write the base of the model as a decimal

Answers

Answer:

[tex]Y(T) = 2(1.05)^T[/tex]

Step-by-step explanation:

The player's salary, in millions of dollars, t years after 2015, is given by an equation in the following format:

[tex]Y(T) = Y(0)(1+r)^T[/tex]

In which Y(0) is his initial salary and r is the growth rate, as a decimal.

A hockey player earns 2 million in 2015 during the next 10 years to earnings increase 5%

This means, respectively, that:

[tex]Y(0) = 2, r = 0.05[/tex]

So

[tex]Y(T) = Y(0)(1+r)^T[/tex]

[tex]Y(T) = 2(1+0.05)^T[/tex]

[tex]Y(T) = 2(1.05)^T[/tex]


Please answer fast ASAP I give brainliest

Kerry wants to remodel his house by knocking down a wall between two adjacent rectangular rooms the dimensions of the rooms are shown on the blue print

Answers

Answer:

6x +12

Step-by-step explanation:

True or False: Since negative numbers are just numbers, then doing the same thing to each side of an equation works for negative numbers as well.

Answers

Answer:

I believe it's true

Step-by-step explanation:

I hope this helps

PLSSS PLSSS I NEED HELPP

Answers

Answer:

Step-by-step explanation:

Perpendicular (p) = 8

base(b) = 7

Tan A = p/b

tan A = 8/7

A = tan ^-1(8/7)

A = 48.81°

help please ! if false can you explain or show why

Answers

Answer:

False

Step-by-step explanation:

The sum of angles of a parallelogram is equal to 180°. So,

8x+3y+2x+(7x+18)=180

or

17x+3y = 180-18

17x+3y = 162

Put x = 44 and y = 18 in the above expression.

So,

17(44)+3(18) = 748+54

= 802

≠ 162

Hence, the given statement is false.

Select the correct answer. A farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement. For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants. After three months, they reported their findings as shown.​

Answers

Answer:

Step-by-step explanation:

at the bottom it has a key and the key shows blue that had the urea supplement and green with out.  the graph has a higher amount of growth for the plants with the urea supplement and green with about half the growth.

so you could say something like this: over the course of three months the plants with the urea supplement had almost double the amount of growth the plants without the urea supplement did, over all the the urea increased the amount of growth the plants had over the 3 month time span. :)

The conclusion from the farmer's data can be made is the fertilizer with urea supplement  is more effective than the fertilizer without it.

What is histogram?

A histogram is the way of representation of data which is used to show the frequency distribution using the rectangle similar to bar graph.

Farmers' group conducted an experiment to determine which fertilizer is better for plant growth. One fertilizer contains a urea supplement, while the other does not contain the urea supplement.

For the experiment, they randomly selected 20 plants of the same species growing in their area. The farmers tested the urea-enhanced fertilizer on 10 plants and the non-urea fertilizer on the other 10 plants.

After three months, they reported their findings as shown.​ Let's understand what happen in each month,

In first month, 4 number of plants with above average growth with urea supplement, while only 2 plant shown this growth when urea is not supplied.In second month, 7 number of plants with above average growth with urea supplement, while only 4 plant shown this growth when urea is not supplied.In third month, 5 number of plants with above average growth with urea supplement, while only 3 plant shown this growth when urea is not supplied.

Thus, the conclusion from the farmer's data can be made is the fertilizer with urea supplement  is more effective than the fertilizer without it.

Learn more about the histogram here;

https://brainly.com/question/2962546

#SPJ2

Cuanto es El doble de 0.5

Answers

Answer:

Respuesta certificada por un experto

El doble de 0.25 es 0.50. El doble de 0.50 es 1.00.

Step-by-step explanation:

solve for x
x/45=3

:)

Answers

Answer:

135

Step-by-step explanation:

x×1=45×3

cross multiply

x=135

If a ^-1/2 = x, where a > 0, what is a in terms of x?

a. √x
b. -√x
c. 1/x^2
d. -1/x^2

Answers

9514 1404 393

Answer:

  c.  1/x^2

Step-by-step explanation:

You want to solve for a:

  1/√a = x

  1/a = x^2 . . . . . square both sides

  1/x^2 = a . . . . . multiply both sides by a/x^2

Answer:

14743

Step-by-step explanation:

B. the business world and its industries control those in poverty

C. that the place is polluted and depressing

Solve the following proportion:
X + 5 7
X – 4 10

Answers

Answer:

x  =  −26

Explanation:

Solve for  x  by cross multiplying.

Shen started cleaning at 11:51 AM.
He finished at 1:29 PM.
How long did he clean?
hour(s) and minute(s)

Answers

Answer: 1 hour 38 minutes

Step-by-step explanation:

From 11:51 AM to 12:00 PM (noon)

9 minutes

from 12:00 PM to 1:00 PM

1 hour

1:00 PM to 1:29 PM

29 minutes

______________________________

9 minutes + 1 hour + 29 minutes

1 hour 38 minutes

En un banco ,$784.00 producen $117.60 de interes en un tiempo y a una tasa determinada.Que interes produciran $792.00 en ese banco ,en ese mismo tiempo y a esa misma taza? matematicas​

Answers

Answer:

I wish i could help you but i cant because i don't speak your language im sorry.

Step-by-step explanation:

A chess club with 80 members is electing a new president. Elsa received 64 votes. What percentage of the club members voted for Elsa?

Answers

Answer:

80%

Step-by-step explanation:

How do I solve equation 24=2a + 6

Answers

Answer:

9

Step-by-step explanation:

24 - 6 = 18 divided by 2 is 9 so a must be 9

(9, 19) (2, 16)
Write the coordinates as decimals or integers.

Answers

Answer:

In decimal 0.428571428

Step-by-step explanation:

The slope = (y2 - y1)/(x2 - x1) y2 = 16, y1 = 19x2=2 and x1=9

The slope = (16 - 19)/(2 -9)

The slope = (-3)/(-7)

The slope = 0.428571428

So in decimal form the coordinates are going to be written as 0.428571428

Slope is the steepness of a line, it is the difference between the y coordinates divided by the difference in x coordinates.

Which of the following decimals is equivalent to three and ten hundredths

Answers

Answer: 3.1 or 3.10

Step-by-step explanation:

3 and 10 hundredths = 3 + 10/100 = 3 + 0.10

3.10 / 3.1

Please help, you HAVE to show your work! Write down the problem, show your work, and put a picture of your work with your answer! Will give Brainliest to the person with the correct answer! Worth 20 points!

Answers

Answer:

The total surface area of the shape is 376 square inches.

Bonus: the volume is 240 cubic inches.

Step-by-step explanation:

I'm not going to draw this for you, but to get the area, you just need to add up the area of the 6 rectangles.

First though, you need to know what they are.  This is easier than it may seem though.  You just need to remember that this will be folded into a rectangular box.  You are given three side lengths, which is all that is needed for a box.

That is to say, you're given the width, height and length of this box.  It's 10x8x6 inches.

so if you take every possible pairing of those numbers:

10x8

10x6

8x6

you have the area of all of the shapes.  The only catch is that there are two of each size.  Front and back are the same size, left and right are, and so are top and bottom.

So the total area of the shape is:

(front and back) + (left and right) + (top and bottom)

= (2 × 10 × 8) + (2 × 10 × 6) + (2 × 8 × 6)

= 160 + 120 + 96

= 376

Or rather, 376 square inches.

Bonus: the volume is much easier, being just 10 × 8 × 6, or 240 cubic inches.

Write the phrase as an expression.

the product of 3 and 12

An expression is

Answers

Step-by-step explanation:

Product of 3 and 12 means 3 multiplied by 12

which is equal to 12*3

Hope it helps!

Answer:12+3 or 3 + 12

Step-by-step explanation:in math and means adition so

12 and 3 as an expression would be 12 +3

A stop sign casts a shadow 8 feet long, while a school bus nearby casts a shadow 12 feet long. If the stop sign is 7 feet tall, how tall is the school bus?

Answers

11 I think

(someone correct if I am wrong plz)

Answer:

10.5

Step-by-step explanation:

7 =  x

8   12

8x = 84

8     8

x = 10.5

Dustin went out for a walk with some friends. After a few minutes of walking, he suddenly realized he had left his wallet behind. He ran back to his house to get it, then had to run to catch up with his friends. Choose the graph below that models Dustin’s distance from home. * A. B. C.

Answers

Answer:

a

Step-by-step explanation:

Write nine squared in all three forms: exponential form, expanded form, standard 

Answers

Answer:

[tex]9^{2} \\80+1\\9+9+9+9+9+9+9+9+9[/tex]

Step-by-step explanation:

arning Task 3: Solve the following. Do this in a separate sheet of paper.
A box is ( 2x—3) by ( x + 5) by ( 3x +1), what is the volume of the box if x = 3
cm?
bh
The formula for the area of a triangle is A= If the base (b) = 10 cm and
2
the height (h) = 6 cm, what is the area of the triangle?
The length (1) of the rectangle is x2 + 2x - 3 and the width (w) is 5x + 4, what
is the perimeter of the rectangle.
From the sum of 3x3 + 7x2 - 5 and 2x2 + 3x + 8 take away 5x2 + x -5.
What should be added to 3x3 + 4x2 -7 to have a sum of 4x3 + x2 + 5.

❤️​

Answers

Answer:

12 cm is your answer right answer

For problems 4-9 find the circumference.

Answers

4. 78.54
5. 28.27
6. 175.93
7. 59.69
8. 18.85
9. 219.91

Kevin answered 80% of the questions on his test correctly. if he answered 20 questions correctly. how many total questions were the test?​

Answers

Answer:

There were 25 questions total on the test.

Step-by-step explanation:

Hope this helps!

Where could point E be located on the coordinate plane? I’ll mark you as brainliest! Quadrant one, or Quadrant two, or Quadrant three or , Quadrant four , or Y axis, or X axis?

Answers

Answer:

Quadrant II and III

Step-by-step explanation:

Given

Point E

[tex]x < 0[/tex] i.e. negative x

and

[tex]y \ne 0[/tex]

Required: Determine the possible quadrant(s) of E

[tex]y \ne 0[/tex]. means that point E belongs to at least 1 quadrant. So, x-axis and y-axis are ruled out

Solving further:

[tex]x < 0[/tex]

The two quadrants where the x coordinates is negative are II and III.

Hence, point E belongs to quadrants II or quadrants III

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