MATHEMATICS COLLEGE

Use the steps to determine the exact value of sin(−135)°.

Identify the reference angle, θ.

θ =
°

Answers

Answer 1
Answer: To solve for sin(-135), the reference angle will be obtained as follow:
sin(-135)
=-sin(135)
=-sin(180-135)
=-sin 45
hence
the reference angle θ=45°
Answer 2
Answer:

Answer:

The reference angle will be {\theta}=45^(\circ)

Step-by-step explanation:

To solve for sin(-135), the reference angle can be obtained as follows:

= sin(-135)

=- sin(135) (Because sin(-{\theta})=-sin{\theta})

Thus, the above equation can be written as:

=-sin(180-135)

=-sin45

Hence, the reference angle will be {\theta}=45^(\circ)

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What is the solution of the equation? 7y-4=9y+13-4y

Answers

Answer:

y= 17/2 but write or type it as 17

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Step-by-step explanation:

Answer:

y=8.5

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Solve 3sqrt(x) = 8/(sqrt(9x - 32)) + sqrt(9x - 32)​

Answers

Answer:

Step-by-step explanation:

3√(x)=(8)/(√(9x-32))+√(9x -32)\n\n\n3√(x)=(8*√(9x-32))/((√(9x-32))*(√(9x-32)))+√(9x-32)\n\n3√(x)=(8*√(9x-32))/(9x-32)+√(9x-32)\n\n\n3√(x)=(√(9x-32))((8)/(9x-32)+1)\n\n(3√(x))/(√(9x-32))=(8+9x-32)/(9x-32)\n\n(3√(x))/(√(9x-32))=(9x - 24)/(9x-32)\n\nTake \ square\n\n((3√(x))/(√(9x-32)))^(2)=((9x-24)/(9x-32))^(2)\n\n(9x)/(9x-32)=((9x-24)^(2))/((9x-32)^(2))\n\n

9x*(9x - 32) = (9x- 24)²

9x*9x - 9x*32 = 81x² - 2*9x*24 + 576

81x² - 288x = 81x² - 432x + 576

81x² - 288x - 81x² + 432x - 576 = 0

81x² - 81x² - 288x + 432x - 576 = 0

144x - 576 = 0

144x = 576

x = 576/144

x =4

\huge \color{gray}{ \tt{answer}}

x = 4

Step-by-step explanation:

3 √(x) = (8)/((9x - 32)) + √((9x - 32))

  • move theexpressionto theleft

3 √(x) - (8)/( √(9x - 32) ) - √(9x - 32) = 0

  • transform the expression

(3 √((9x - 32 x)) - 8 - √(9x - 32) )/( √(9x - 32) )

  • set the numerator

3 √((9x - 32)x) - 8 - (9x - 32) = 0

  • remove the parentheses

3 \sqrt{9 {x}^(2) - 32x} + 24 - 9x = 0

  • move the expression to the right

3 \sqrt{9 {x}^(2) - 32x } - 24 + 9x

  • divide both sides

\sqrt{9 {x}^(2) - 32x } = - 8 + 3x

  • simplify the expression

9 {x}^(2) - 32x = 9 {x}^(2) - 48x + 64

  • cancel equal terms

- 32x = - 48x + 64

  • move the variable to the left

- 32x = + 48x = 64

  • collect like terms

16x = 64

  • divide both sides

= \: \: x = 4

  • check thesolution

3 √(4) = (8)/( √(9 * 4 - 32) ) + √(9 * 4 - 32)

  • simplify

6 = 6

  • so the solutionis

≈ \: \: x = 4

\huge \color {cyan}{ \tt{hope \: \: it \: \: helps}}

Solve for x. round to the nearest tenth.

Answers

tan (angle = Opposite / adjacent

tan(28) = 18/x

x = 18 / tan(28)

x = 33.85

Rounded to nearest tenth X = 33.9

Final answer:

The student correctly solved the equations given for x. Note that an equation with an unknown variable squared might have two solutions. The way to solve for x alters according to what the equation requires, whether it is adding, subtracting, or dividing.

Explanation:

It seems like the student is trying to solve equations for x. The equations given were all solved correctly. Keep in mind that when an equation contains an unknown variable squared, there could be two solutions, and one or both could be reasonable depending on the problem. For example, consider the equation x² +0.0211x -0.0211 = 0. This could be rearranged to solve for x. Other variables are known unless additional calculations needed if they are not.

Remember that the principle of altering the equation to solve for x is employed, whether we add, subtract or divide by certain values. Like mentioned in the information provided, when dividing by powers of 10, you would move the decimal to the left, corresponding to the number of zeros in the power of ten.

Learn more about Solving for x here:

brainly.com/question/32490578

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Which quadrant would 6,-4 be in ?

Answers

Answer:

IV

Step-by-step explanation:

Answer these two questions ASAP please, help is appreciated.

Answers

Answer:

B and A

Step-by-step explanation:
Mark the person above me brainliest
(A question needs two answers so the asker can have the brainliest option)
Best of luck

Ruth has the following set of refrigerator magnets: {A, B, C, D, E}. (a) How many different three-letter strings can she form with these magnets? (b) How many different three-letter strings can she form if the middle letter must be a vowel?

Answers

Answer:

a. 60

b.24

Step-by-step explanation:

a. We use permutation, it would be 3 taken out of 5, or 5*4*3

b.if A or E must be used, then we have 4*3*2
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