Kind people!help me please...And a detailed solution/THANKS
sin^2x-0,5sin2x=0

Answers

Answer 1
Answer:
This will be easier to write, and a lot easier to read, if we temporarily
use another symbol ... say, 'Q' ... to represent  ' sin(2x) ' .
Here we go:

Original equation:                Q² - 0.5 Q  =  0

Factor the left side:            Q (Q - 0.5)  =  0

This equation is true if either factor is zero:


--  If  Q=0, then  sin(2x) = 0

                                 2x = 0°,  180°,  360°

                                   x = 0°,  90°,  180°


-- If  (Q-0.5) = 0, then      Q  =  0.5

                                sin(2x)  =  0.5          

                                       2x  =  30°,  150°

                                         x  =  15°,  75°


The whole collection of solutions
between  0°  and  360° :

          x = 0°,  15°,  75°,  90°,  180° .


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The expression 8 x plus 12 y represents the sum of Harry and Mike’s total monthly wages, where x represents the number of hours Harry worked and y represents the number of hours Mike worked. What is another way to write the expression, and what can you conclude from rewriting it in this way?A. 8 left parenthesis x plus 1.5 y right parenthesis ; Harry’s hourly wage is 1.5 times Mike’s.B. 8 left parenthesis x plus 1.5 y right parenthesis; Mike’s hourly wage is 1.5 times Harry’s.C. 12 left parenthesis 8 x plus y right parenthesis ; Harry’s hourly wage is 8 times Mike’s.D. 8 left parenthesis x plus 4 y right parenthesis ; Mike’s hourly wage is 4 times Harry’s.
2. Consider the numbers 4/13 and 3/10 .a. Compare the numbers.b. Find a rational number between the two given numbers
... please help lol
In a right triangle, the measure of one acute angle is 26°. What is the measure of the other acute angle?

Uhmmmmmmmmmmmmmmmmmmmmm

Answers

Step-by-step explanation:

l=✓9²+4²

l=√81+16

l=✓97

Point A is located at (2, -5). After it is translated, point A' is located at (-4, -5). What was the translation?6 units to the right

6 units to the left

6 units up

6 units down

Answers

The answer is:
6 units to the left

A wholesale food sales rep is paid a base salary of $1200 per month plus a 38% commission on sales. How many sales must she generate in order to earn $35,000 per year in total compensation?

Answers

Answer:

Step-by-step explanation:

salary per year=1200×12=14400

let the sale be $ x

14400+38 % of x=35,000

38 % of x=35,000-14,400=20,600

x=20,600 \times \frac{100}{38}=$ 54210.53

Final answer:

To earn $35,000 per year, the sales rep must generate approximately 54,210 sales.

Explanation:

To find out how many sales the wholesale food sales rep must generate in order to earn $35,000 per year in total compensation, we need to set up an equation based on the given information. Let's assume the sales generated by the rep are 'x'. The total compensation can be calculated as:



Total Compensation = Base Salary + Commission

$35,000 = $1200/month + 0.38x



Now, we can solve this equation to find 'x', the number of sales needed. First, let's convert the monthly base salary to yearly:



$1200/month * 12 months = $14,400/year



Substituting this value into the equation:



$35,000 = $14,400 + 0.38x



Now, we can isolate 'x' by subtracting $14,400 from both sides of the equation:



$20,600 = 0.38x



Finally, divide both sides of the equation by 0.38:



x = $20,600 / 0.38 = 54,210



Therefore, the wholesale food sales rep must generate approximately 54,210 sales in order to earn $35,000 per year in total compensation.

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15. Radioactive nuclei are highly stable and emit radiation to becomeunstable.
TRUE
FALSE

Answers

The statement radioactive nuclei are highly stable and emit radiation to become unstable is FALSE.

To determine if the statement is true or false we need to know what radiactivity is

What is radioactivity?

Radioactivity is the spontaneous disintegration of unstable atomic nuclei to form stable more energetic nuclei with the emission of radiation.

Radioactivity includes the following

  • disintegration of a larger atomic nuclei to a smaller more stable nuclei
  • Emission of radiation

So, radioactive nuclei which are unstable emit radiation and become more stable.

So, the statement radioactive nuclei are highly stable and emit radiation to become unstable is FALSE.

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a snail moves at a speed of 2.394 inches per minute . If the snail keeps moving at this rate, about how many inches will it travel in 7.489

Answers

2.394 inches per minute x 7.489 minutes = 17.928666 inches.

So, about 18 inches.
(2.394in)/(1min) *  (7.489min)/(1) = 17.928666in

Or 17.93in with significant digits.


To break it down, you can set up your information as a fraction (which I did for the first fraction.) Then you want your units to cancel out, so I put the 7.489 minutes on the top of the next fraction and multiplied them. The min canceled out and left me with in, so I know I had the correct answer.

Ashlee is placing a rug in the middle of her bedroom. The length of the rug is two feet more than the width.What is the area of the bedroom?

Answers

Answer:

A=16

Step-by-step explanation:

formula is 2l+2w=A