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V125BC [204]
3 years ago
14

Now, you will use the inverse trig function to solve. Round to the nearest whole number. x= ∘ What trig function would we use to

set up our trig function to solve for y?

Mathematics
1 answer:
konstantin123 [22]3 years ago
5 0

Answer:

1. Cosine

2. x = 49°

3. Sine

4. y = 41°

Step-by-step explanation:

1. The trig function that will be used to solve for x is cosine.

2. Determination of angle x

x° =..?

Adjacent = 13

Hypothenus = 20

Cos x = Adjacent /Hypothenus

Cos x = 13/20

Take the inverse of Cos

x = Cos¯¹ (13/20)

x = 49°

3. The trig function that will be used to solve for y is sine.

4. Determination of angle y.

y° =..?

Opposite = 13

Hypothenus = 20

Sine y = Opposite /Hypothenus

Sine y = 13/20

Take the inverse of Sine

y = Sine¯¹ (13/20)

y = 41°

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At certain time of day , a 30 meter high building cast a shadow that is 31 meters long . what is the angle of the elevation of t
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Answer:

Option C. 44 degree

Step-by-step explanation:

Let

A-----> the angle of the elevation of the sun

we know that

The tangent of angle A is equal to divide the opposite side angle A by the adjacent side angle A

In this problem

The opposite side is 30 meters

The adjacent side is 31 meters

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A=arctan(\frac{30}{31})=44\°

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Find the equation of a line parallel to the line 2x-y-9=0 and passing through the point of intersection of the lines 5x+y+4=0 an
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Answer:

y=2x-3

Step-by-step explanation:

1. Using the point of intersections, we use the substitution method to find the coordinates of the line parallel to 2x-y-9=0

5x+y+4=0

y= -4-5x

substituting the value of y in 2x+3y=1:

2x +3(-4-5x)=1\\\\2x-12-15x-1=0\\-13x=13x\\x= \frac{13}{-13}= -1

substituting x=-1 in y= -4-5x:

y= 1 (upon solving, you should get this)

(x,y)= (-1,1)

2. Using y=mx+c and making y the subject of the formula 2x-y-9=0 and using the coordinate we found earlier, we will find the equation of the parallel line. (We make y the subject of the formula to find the gradient)

2x-y-9=0\\2x-9=y\\y= 2x-9

y= mx+c\\

-1= 2 x 1 +c

-3=c

  • y= 2x-3

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At 9:00 a.m., it starts snowing outside Dario's home at the rate of 6 inches per hour. If Dario's front door is 84 inches tall,
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Find the inverse function in slope-intercept form (mx+b):<br> f(x)=-3/5x+6
ruslelena [56]

Answer:

f^{-1}(x)=-\frac{5}{3} x+10

Step-by-step explanation:

Steps to find the inverse function:

1) replace f(x) with "y"

y=-\frac{3}{5} x+6

2) solve for x:

y-6=-\frac{3}{5} x\\x=-\frac{5}{3}(y-6)\\ x=\frac{5}{3} (6-y)\\x=-\frac{5}{3} y+10

3) replace "x" with f^{-1}(x), and y with x:

f^{-1}(x)=-\frac{5}{3} x+10

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