Solve the equation in the interval ​[0​,360​). Use an algebraic method.

Solve The Equation In The Interval [0,360). Use An Algebraic Method.

Answers

Answer 1

Answer:

70.9,109.1,204.0,336.0

Step-by-step explanation:

Answer 2

The solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}

What is Trigonometry?

Trigonometry is a branch of mathematics that studies relationships between side lengths and angles of triangles.

The given equation is 6sin² θ - 7 sinθ = 5

Lets arrange in an order

6sin² θ - 7 sinθ - 5 = 0

a=6, b=-7 and c = -5

sinθ = 7±√49+120/12

Simplifying under the square root:

sinθ =7±17/12

Taking the positive solution first

sinθ =24/12

sinθ =2 (Not valid)

Now let's try the negative solution:

sinθ =7-17/12

sinθ =-10/12

sinθ =-5/6

θ= sin⁻¹(-5/6)

θ= −50.48⁰ ,−129.52⁰

we need to restrict our solution to the given interval [0,360), so we add 360 degrees to the negative angle:

θ=360−50.48 = 309.52 and 360 −129.52 =230.48

Therefore, the solution set for the equation 6sin² θ - 7 sinθ - 5 = 0 in the interval [0,360)is {θ∈ [0,360)∣θ = 230.48 ,309.521}

To learn more on trigonometry click:

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Related Questions

Ariana Grande received $5,000 to perform and made $100 per ticket. If she made $18,500, how many tickets did she sell? (use an equation to solve)

Answers

she would have sold 135 tickets !

Answer:

135 tickets

Step-by-step explanation:

18500=5000+100x

13500=100x   x=135

explain how (-3) x (-3) = 9 using coupons as the real world example

Answers

Answer:

a negative multiplied by a negative is always a positive

Step-by-step explanation:

so, -3 x -3 =9

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Caroline’s cell phone plan costs $32 per month. Which table shows the sum of the amounts that Caroline will pay for her cell phone plan over the next 4 months?

Answers

Answer:

The first month is $32

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Step-by-step explanation:

32 plus 32 is 64 and 32 plus 64 is 96 so on

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Answers

Answer:

20%

Step-by-step explanation:

to find out we make it a fraction:

14/70

then divide

14÷70=0.2

then times it by 100

= 20%

Answer:

20%

Step-by-step explanation:

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14 x 100 = 1400

1400/ 70 = 20%

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Answers

Answer:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

Answer:

Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

c - 5a

substitute c for -2

-2 - 5a

substitute a for 3

-2 - 5*a

-2 - 5*3

-2 - 15

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Answers

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Answers

Answer:

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Answers

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Answer:

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Step-by-step explanation:

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Answers

Answer: 10

Step-by-step explanation: The common denominator for these two

fractions is simply the least common multiple for the two denominators.

Since our denominators of 5 and 2 have no factors in common,

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Answers

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Which sequences of transformations applied to shape I prove that shape I is similar to shape II? a translation 12 units right and 5 units up, and then a dilation by a scale factor of 2 a reflection across the x-axis and then across the y-axis, and then a dilation by a scale factor of 2 a 180° counterclockwise rotation about the origin, and then a dilation by a scale factor of 2 a reflection across the y-axis, and then a dilation by a scale factor of 2 a reflection across the x-axis, and then a dilation by a scale factor of 2

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Answer:

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Step-by-step explanation:

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Answers

Answer:

im not 100% sure what your asking but i think its you make 9.65 per hour for 40 hours then 5 more hours how much are you making?

Step-by-step explanation:

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386+48.25=434.25

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Answers

This is your answer

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Answers

Answer:

c = -6

Step-by-step explanation:

C is your variable

-2c - 2 = -3c - 8

+3c              +2

1c = c       -8 +2 = -6

c = -6

:)

-2c-2=-3c-8

Add 3c to both sides

-2x+3c-2=-8

Simplify

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Add 2 to both sides

C=-8+2

Simplify

C=-6

[15 points] PLEASE HELP!
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Answers

Answer:

the answer is 3648 students

Step-by-step explanation:

solved these easy question.
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Answers

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Answers

Answer:

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Step-by-step explanation:

Answer:0.02(1444.50)

Step-by-step:

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Answers

Answer:

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Step-by-step explanation:

kari estimated the quotient of -12 1/5 divided by 4 2/5 to be -8. Which best describes her error?

Answers

Answer:

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Step-by-step explanation:

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Answer:

x-7

Step-by-step explanation:

Enter an equation in point-slope form for the line. (6,8) and (7,1) is on the line. The equation of the line in point slope form is:

Answers

Answer:

[tex] y - 8 = -7(x - 6) [/tex] or [tex] y - 1 = -7(x - 7) [/tex]

Step-by-step explanation:

The point-slope form equation is [tex] y - b = m(x - a) [/tex], where,

(a, b) = a point on the line.

[tex] m = slope = \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Given the two points, (6, 8) and (7, 1), find the slope of the line:

[tex] m = \frac{1 - 8}{7 - 6} [/tex]

[tex] m = \frac{-7}{1} [/tex]

[tex] m = -7 [/tex]

There are two possible point-slope equation we can come up with using each points on the line given.

Using the point (6, 8) and m = -7,

Substitute m = -7, a = 6, and b = 8 into [tex] y - b = m(x - a) [/tex]

[tex] y - 8 = -7(x - 6) [/tex]

Using the point (7, 1) and m = -7,

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Answers

Answer:

45

Step-by-step explanation:

Solve the system by the elimination method. Check your work.

x-3y=0
3y-6=2x

(-2,-6)
(-6,-1/2)
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Answers

Answer:

C, (-6,-2)

Step-by-step explanation:

x - 3y = 0 --(1)

3y - 6 = 2x --(2)

We can rearrange equations 1 and 2:

3y - x = 0 --(3)

3y - 2x = 6 --(4)

Subtract 4 from 3:

(3y-3y) + (-2x+x) = (6-0)

-x = 6

x = -6

Substitute x=-2 into any equation. In this case, I substituted it into equation 1 but the value of y would be the same if you substituted it into a different equations:

x - 3y = 0

-6 = 3y

y = -2

Let's check to see if we are right but substituting the values of x and y into both equations

x - 3y = 0

-6 + (-3*-2) = 0

-6 + 6 = 0

0 = 0 Correct

3y - 6 = 2x

3(-2) - 6 = 2(-6)

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-12 = -12 Correct

Our answer is correct!

use the diagram to solve x and y​

Answers

Answer:

x = 54°

y = 144°

Step-by-step explanation:

x° + 36° = 90° (complementary angles)

Subtract 36° from each side of the equation

x° = 90 - 36°

x = 54°

y° + 36° = 180° (angles on a straight line/supplementary angles)

Subtract 36° from each side

y° = 180° - 36°

y = 144°

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Answers

81 = 3⁴, so

81ˣ = 3

(3⁴)ˣ = 3

3⁴ˣ = 3¹

which means

4x = 1

x = 1/4

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Answers

Since the graph has an unshaded point, it would be either < or >.
X is anything less than 6
The answer would be x<6

Consider functions f and g

Answers

Answer: B

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Step-by-step explanation:

Please I need help badly I also have stuff on my account

Answers

Not 100% but I’m thinking 125
D=125

Since D is across from 125 on the transversal that should be the answer.
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