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ikadub [295]
2 years ago
10

Find x. Round your answer to the nearest tenth of a degree. plz help!

Mathematics
1 answer:
Nuetrik [128]2 years ago
7 0

Answer:

  36.9°

Step-by-step explanation:

The relevant trig relation is ...

  Cos = Adjacent/Hypotenuse

  cos(x) = 8/10 = 0.8

The inverse trig function is used to find the angle:

  x = arccos(0.8) ≈ 36.9°

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2 years ago
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2.<br> Which of the functions below is an inverse of the quadratic function f(x) = x2 - 3 ?
mezya [45]

Answer:

the inverse of the quadratic function f(x) = x^2 - 3  is \mathbf{f^{-1}(x)=\pm \sqrt{x+3}}

Step-by-step explanation:

We need to find inverse of the quadratic function f(x) = x^2 - 3

Let

y=x^2-3

Replace x and y

x=y^2-3

Now, we will solve for y

Adding 3 on both sides

x+3=y^2-3+3

x+3=y^2

Taking square root on both sides

\sqrt{y^2}=\sqrt{x+3}\\y=\pm \sqrt{x+3}

Now replace y with f^{-1}(x)

f^{-1}(x)=\pm \sqrt{x+3}

So, the inverse of the quadratic function f(x) = x^2 - 3  is \mathbf{f^{-1}(x)=\pm \sqrt{x+3}}

3 0
3 years ago
The terminal side of an angle in standard position passes through P(15, –8). What is the value of sine theta? sine theta = fifte
Pavlova-9 [17]

The value of sine theta = negative eight-seventeenths ⇒ 2nd

Step-by-step explanation:

Let us revise the quadrant of an angle its terminal side passes through a given point

  • If the given point is (x , y), then the angle lies in the 1st quadrant
  • If the given point is (-x , y), then the angle lies in the 2nd quadrant
  • If the given point is (-x , -y), then the angle lies in the 3rd quadrant
  • If the given point is (x , -y), then the angle lies in the 4th quadrant

∵ The terminal side of angle Ф passes through P (15 , -8)

∵ x = 15 and y = -8

- P is (x , -y), then the angle Ф lies in the 4th quadrant

∵ The terminal side of angle Ф is the hypotenuse of a right

   triangle whose horizontal leg is 15 units and vertical leg

   is -8 units

- Use Pythagoras Theorem to find the length of the hypotenuse

∴ Hypotenuse = \sqrt{(15)^{2}+(-8)^{2}}=17 units

∵ sinФ = \frac{opposite}{hypotenuse}

∵ The side opposite to Ф is -8

∵ The hypotenuse is 17

∴ sinФ = \frac{-8}{17}

The value of sine theta = negative eight-seventeenths

Learn more:

You can learn more about the trigonometry function in brainly.com/question/4924817

#LearnwithBrainly

3 0
3 years ago
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