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AysviL [449]
3 years ago
15

Help with this question

Mathematics
1 answer:
Sholpan [36]3 years ago
4 0

With some simplification,

cos⁻¹(x) - 5 cos⁻¹(x) - π/3 = 2π/3

becomes

-4 cos⁻¹(x) = π

or

cos⁻¹(x) = -π/4

However, the inverse cosine function has a range of 0 ≤ cos⁻¹(x) ≤ π, so there are no solutions to this equation.

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Examine the diagram.
wolverine [178]

Answer:

m\angle 1 =60.75^\circ \\m\angle 2 =119.25^\circ

Step-by-step explanation:

From the diagram:

m\angle 1 =60.75^\circ $(Corresponding Angles)\\

Now Angle 1 and Angle 2 are on a straight line, therefore:

m\angle 1 +m\angle 2 =180^\circ $(Linear Postulate)\\Since m\angle 1=60.75^\circ\\60.75^\circ +m\angle 2 =180^\circ\\m\angle 2=180^\circ-60.75^\circ\\m\angle 2 =119.25^\circ

3 0
3 years ago
What is they answer on the sheet of paper for my homework
geniusboy [140]
Um not sure but thanks for asking:)
3 0
3 years ago
Find the equation of the axis of symmetry of the following parabola algebraically.
mr Goodwill [35]

Answer:

the equation of the axis of symmetry is x=8

Step-by-step explanation:

Recall that the equation of the axis of symmetry for a parabola with vertical branches like this one, is an equation of a vertical line that passes through the very vertex of the parabola and divides it into its two symmetric branches. Such vertical line would have therefore an expression of the form: x=constant, being that constant the very x-coordinate of the vertex.

So we use for that the fact that the x position of  the vertex of a parabola of the general form: y=ax^2+bx+c, is given by:

x_{vertex}=\frac{-b}{2\,a}

which in our case becomes:

x_{vertex}=\frac{-b}{2\,a} \\x_{vertex}=\frac{48}{2\,(3)} \\x_{vertex}=\frac{48}{6} \\x_{vertex}=8

Then, the equation of the axis of symmetry for this parabola is:

x=8

4 0
3 years ago
Suppose that an individual has a body fat percentage of 16.8% and weighs 152 pounds. How many pounds of his weight is made up of
natka813 [3]
<h3>Answer: 25,5 p</h3>

Step-by-step explanation:

  • 16 , 8 % = ? p
  • 100% = 152 p

  • \pmb {? =\dfrac{152\cdot 16, 8}{100}=25, \underline 536 p\approx25,5  p  }
4 0
2 years ago
Is a triangle whose side measure 12 ft, 16 ft and 20 ft a right triangle?
tensa zangetsu [6.8K]

Answer:

This is a Right Triangle

Step-by-step explanation:

12=a 16=b 20=c

Now lets solve

a^2+b^2=c^2

144+b^2=c^2

144+256=c^2

144+256=400

c^2=400

The square root of 400 is 20..

This IS a Right Triangle

7 0
3 years ago
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