Solve the question on the interval [0, 2π)
sin^2 θ - cos^2 θ = -3 sin θ - 2

Answers

Answer 1

Answer:

[tex]\frac{7\pi }{6} ; \ \frac{3\pi }{2} ; \ \frac{11\pi }{6}.[/tex]

Step-by-step explanation:

if 1=sin²Q+cos²Q, then cos²Q=1-sin²Q, then

2sin²Q+3sinQ+1=0;

[tex]\left[\begin{array}{ccc}sinQ=-1\\sinQ=-0.5\end{array} \ => \ \left[\begin{array}{ccc}Q=3\pi/2+2\pi *n\\Q=(-1)^n*\frac{7\pi }{6}+\pi n \end{array}[/tex]

on the interval Q=3π/2 (from the 1st equation) and Q=7π/6; 11π/6 (from the 2d equation).


Related Questions

Read the problem in the box below. Make a list to help you find the correct
answer.
Radio listeners were asked to call in and pick their
two favorite rodents. The listeners had 4 choices:
Woodchuck, Prairie dog, Beaver and Chipmunk.
Which of the following is the complete list of the
possible pairs of rodents?
A. WP, PW, WC, PB, PC, BP
0 0
B. WP, WB, WC, PB, PC, BW
C. WP WB, WC, PB, PC, BC
D. WP CB, WC, CP, PC, BC

Answers

Answer:

C. WP WB, WC, PB, PC, BC

Step-by-step explanation:

List the possible combinations. (With no duplicates)

WP, WB, WC

PB, PC

BC

Now check your options for the answer with the combinations you had.

That is your answer.

A bucket is leaking. After 3 hours the bucket has leaked 6 gallons. How many gallons per hour is the bucket leaking?

Answers

Answer:

2 gallons

Step-by-step explanation:

divide 6 by 3 because that's the amount

Answer:

2 gallons

Step-by-step explanation:

A triangle has vertices on the coordinate grid at points A(2, 4), B(2, 9) and C(5, 6) . What is the length, in units, of AB ?

Answers

Answer:

5 units long

Step-by-step explanation:

If you graph it, it is a simple straight line 5 units long between A and B.

You could also use the distance formula if you had to do more advanced distance calculations.

The distance formula is d=√((x2-x1)²+(y2-y1)²)

-45 x (-2) solve please

Answers

Answer:

-90x Mark Me Brainlest Please

Step-by-step explanation:

PLEASE ANSWER I WILL MARK BRAINLEIST


The leg of a right triangle is 2 units and the hypotenuse is 5 units. What is the length, in units, of the other leg of the triangle?

Group of answer choices

3

Square root of 21

Square root of 29

7

Answers

Answer:

It is the Square root of 21

Step-by-step explanation:

Answer is square root of 21

How: a square+b square=C square
C=Hypotenuse
A=leg
5^5-2^2 =21
Then it’s the square root of 21

Solve 6.74x – 1.026 = 0.138. Round to the nearest thousandth. Show your work.

Answers

Answer:

x=0.173

Step-by-step explanation:

First thing I would do is add 1.026 to both sides. This would get you a equation that looked like, 6.74 x=1.164. Then just divide 1.164 and 6.74 by 6.74. This would get you x=0.1727003. Then because you have to round to the nearest thousand you have to round the 2 up because 7 is more then 5. Keep the first two number the same. The final answer is x=0.173.

Find the measure of each indicated angle. (2x-1) and (3x-19)

Answers

The correct answer is:

X=32

329-(-104)


Help ASAP

Answers

Answer:

433

Step-by-step explanation:

When there are 2 neatives together like that it changes to a positive. So it woud be 329+104=433

if i get £20 pounds at week and I need £470 pounds how many weeks do I have to save for

Answers

Answer:

23.5 weeks.

Step-by-step explanation:

470/20 is 23.5

Answer:

23.5 weeks or 24 weeks

Step-by-step explanation:

470/20 = 23.5

If you are not rounding to the next week, then its 23.5.

If you are rounding to the next week, then it should be 24.

701, 752 rounded to 710,000

Answers

700,000 because 701,751 is rounded down to that because the ten thousands place 5 or more raise the score 4 or less let it rest

help me plzzzzzzzzzz​

Answers

Answer: A

Step-by-step explanation:

I think A

In a lab a 30% acid solution is being mixed with a 5% acid solution to create a 10% acid solution. What is the ratio
of the amount of the 30% solution to the amount of 5% solution used to create the 10% solution?
1.3
1:4
1.5
1.6
Done
Intro

Answers

Answer:

1:4

Step-by-step explanation:

If x is the volume of 30% acid solution, and y is the volume of 5% acid solution, then:

0.30x + 0.05y = 0.10(x + y)

0.30x + 0.05y = 0.10x + 0.10y

0.20x = 0.05y

x/y = 0.05/0.20

x/y = 1/4

Shana took a test with 50 questions. she lost 2 points for each of the 5 questions she got wrong. She got all 3 extra credit questions correct and received 5 points for each. What is the total number of points she gained lost overall? A: gained 7 points
B: gained 5 points C: lost 5 points D: lost 20 points

Answers

Answer:

Answer

Answer is option A gained 5 points

Step-by-step explanation:

Please mark as brainliest

how do you simplify decimals??

ex) simplify.
7.21 + 4.2

Answers

Answer:

7.21+4.2

for 4.2 we can write it as 4.20 because 0 has no value after decimal point

then 7.21+4.20

by adding both we get 11.41

hope it helps you mate

please mark me as brainliast

Answer:

11.41

Step-by-step explanation:

7.21

+4.2

= 11.41

Matek spends 4/5 of his homework time on math. He spends 1/12 of it on writing. What fraction of his homework time is spent on math or writing? Simplify the answer if possible.​

Answers

Answer:

53/60 of his homework time

Step-by-step explanation:

We need to find 1/12 of 4/5, which can be calculated via the addition:

1/12 plus 4/5

1/12 + 4/5 = 5/60 + 48/60 = 53/60

So Matek spent 53/60 of his homework time on writing or math

What is the second step in identifying grouped mean?

Answers

Answer:

B

Step-by-step explanation:

Divide the sum obtained in preceding step by total number of frequencies.

You borrow $600 to buy a violin. The simple interest rate is 15%. You
pay off the loan after 5 years. How much do you pay for the loan?
What would the monthly payment be for the loan?

Answers

Answer:

$1050

Step-by-step explanation:

$600*15%*5=$450 interest

interest+borrowed=loan

$450+$600=$1050

I don't know the monthly payment sorry

Suppose we want to choose 6 letters, without replacement, from 12 distinct letters

Answers

I don’t understand your question

what integer represents a gain of $9

Answers

Positive 9 dollars because your gaining money which is positive.

44756 divided by 167

Answers

Answer:

268

Step-by-step explanation:

hope this helps if not im sorry

44756 divided by 167 is 268

=268

On Monday joe bought 10 cups of coffee and 5 doughnuts for his office at the cost of $16.50. On Tuesday he bought 5 cups of coffee and 10 doughnuts for a total of 14.25. How much was each cup of coffee

Answers

Answer:

each cup cost 1.25 on Tuesday

Solve the system by substitution.
y=-x^2+2x+10
y=x+4

Answers

Answer:

x=3, y=7

x=-2, y=2

Step-by-step explanation:

System of Equations

We have the following equations:

[tex]y=-x^2+2x+10[/tex]

[tex]y=x+4[/tex]

We'll solve it by substitution. Since the second equation is already solved for y, we use that expression and substitute into the first equation:

[tex]x+4=-x^2+2x+10[/tex]

Since this is a quadratic equation, it's convenient to have all terms to one side:

[tex]x+4+x^2-2x-10=0[/tex]

Simplifying and reordering:

[tex]x^2-x-6=0[/tex]

Factoring:

[tex](x-3)(x+2)=0[/tex]

Solving:

x=3, x=-2

Those yield to two solutions for y:

y=x+4

y=7, y=2

The solutions of the system are:

x=3, y=7

x=-2, y=2

choose a linear function for the line representing by the point slope equation y-5=3(x-2)

Answers

multiply 3x and -2 by 3 and add 5 to right side of equal sign to get y = -1

Answer:

y=3x-1

Step-by-step explanation:

To find the linear function you first need to put the equation into standard slope intercept form which is y=mx+b. m represents the slope and b represents where the line intercepts the y axis.

To figure it out you need to solve for y.

y-5=3(x-2)

Expand 3(x-2) to 3x-6.

y-5=3x-6

Isolate the y by adding 5 to both sides, giving you y=3x-1.

The slope is 3 and the Y intercept is -1.

?+7,785= $12,603

please help, I'm completely lost.

Answers

Answer:4818

Step-by-step explanation:7785-12603=4818

Answer: 4,818

Explanation: 12,603 - 7,785 = 4,818

456x5 please help me I don’t know how to work this out but I think you do 5x6 which is 30 than I don’t know after that??

Answers

Answer:

20,320

Step-by-step explanation:

6*5=30 PUT YOUR 3 UP AND KEEP THE ZERO ON BOTOM THEN 5*5 IS 25 PUT YOUR 2 UP AND YOUR 5 ON BOTTOM THEN 5*4= 20 PUT YOUR 2 UP AND 0 ON BOTTOM THEN PUT A ZERO UNDER YOUR FIRST 0 AND THEN TAKE 6*4= 24 PUT YOUR 2 UP AND YOUR 4 ON BOTTOM AND THEN TAKE 4*5= 20 PUT YOUR 2 UP AND 0 ON BOTTOM AND THEN TAKE 4*4 = 16 AND TAKE AND PUT YOU 1 UP AND YOUR 6 ON BOTOM AND ADD THEM TOGETHER

8 of 10
1
3
Work out the sum of 5 and
10
Give your answer in its simplest form.

Answers

Answer:

uuuuhhhhhh

Step-by-step explanation: srry too hard

I'll send u the graph​

Answers

Answer:

9

Step-by-step explanation:

2x3=6

3x3=9

9 most likely hudhehjshegsgsjssjgshs

One car dealer sells a car with a $500 down payment and payments of $250 per month. Another car dealer sells the same type of car with no down payment and monthly payments of $300 per month. After how many months will the buyers have paid the same amount? Use m for your variable

Answers

Answer:

By month 10 both buyers will have paid the same amount of 3,000.

Step-by-step explanation:

The equation would be 500 + 250m = 300m. If you put 10 in for m you get the same amount on both sides of the equation.

500 + 250m = 300m

500 + 250(10) = 300(10)

500 + 2,500 = 300(10)

3,000 = 300(10)

3,000 = 3,000

The answer is 5m
correct me if i’m wrong

Solve 6 < x + 5 < 11 ​

Answers

Answer:

I think it should be 1  < x ≤ 6

Step-by-step explanation:

You have a box with dimensions 2 ft. x 4 ft. x 3 ft. a. If you want to wrap the box, what is the minimum amount of wrapping paper you need? b. If the paper cost $2.59 per square foot, what is the minimum cost?

Answers

Answer: A) 52 ft  B) $134.68

Step-by-step explanation:

First find the surface area by multiplying the dimensions together.

2 x 4 = 8

2 x 3 = 6

4 x 3 = 12

Then add them up and multiply by two because there are two of each side.

26 x 2 = 52

To find the cost, multiply 52 by $2.59 to get the price.

52 x $2.59 = $34.68

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