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Brilliant_brown [7]
3 years ago
11

What is the approximate value of y - x

Mathematics
2 answers:
densk [106]3 years ago
8 0

Answer:

D) y -x = Approximate 17.1 degree.

Step-by-step explanation:

Given : Triangle .

To find :  Approximate value of y - x.

Solution : We have given a right angle triangle with

Opposite side = 19.1 in.

Adjacent side = 14 .1 in.

Tan( y ) = \frac{Opposite}{adjacent}.

Plug the values

Tan( y ) = \frac{19.1}{14.1}.

tan(y) = 1.354.

Taking tan inverse both sides.

y = tan^{-1}(1.354).

y = 53.55 degree.

Now, by the sum of angle of triangles is 180 degree.

Angle c + angle y + angle  x = 180.

Plug the variable

90 + 53.55 + x = 180.

83.55 + x = 180

On subtracting both sides by 83.55

x = 36.45 degree

Then ,

y - x = 53 .55 - 36 . 45

y - x = 17.2

Approximate 17.1 degree

Therefore, D) y -x = Approximate 17.1 degree.

grin007 [14]3 years ago
4 0

Answer:

17.2°

Step-by-step explanation:

using the tangent ration in the right triangle

tan y° = \frac{opposite}{adjacent} = \frac{19.1}{14.1}, hence

y = tan^{-1}(\frac{19.1}{14.1}) ≈ 53.6°

tan x° = \frac{14.1}{19.1}, hence

x = tan^{-1}(\frac{14.1}{19.1}) ≈ 36.4°

y - x = 53.6° - 36.4° = 17.2°


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2 years ago
Point a is at (-7,-7) and m is at (-6,-1) what are the coordinates of point b
AlekseyPX

Answer:

The coordinates of point b are (-5,5).

Step-by-step explanation:

Given:

Point a is at (-7,-7) and m is at (-6,-1).

So, to find the coordinates of point b.

Let a (-7,-7) be (x_{1},y_{1}), m (-6,-1) and b (x_{2} ,y_{2}).

Now, putting the formula to get the coordinates:

m=\frac{x_{1}+x_{2}}{2} , \frac{y_{1}+y_{2}}{2}

⇒(-6,-1)=\frac{-7+x_{2}}{2} , \frac{-7+y_{2}}{2}

So, here we will make two equations to find the value of x_{2} andy_{2}:

-6=\frac{-7+x_{2}}{2}

multiplying both sides by 2

⇒-12=-7+x_{2}

⇒-5=x_{2}

And, now same method for getting the value of y_{2}.

-1=\frac{-7+y_{2}}{2}

multiplying both sides by 2

⇒-2=-7+y_{2}

⇒5=y_{2}.

The value of (x_{2} ,y_{2}) = (-5,5).

Therefore, the coordinates of point b are (-5,5).

4 0
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Find the positive square root of 26.77
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Step-by-step explanation:

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Read 2 more answers
Need to know the answer
loris [4]

Answer:

Please find attached the required graph of the equation, y = x² - 2·x - 8, created using MS Excel

Step-by-step explanation:

The given function required to be plot is y = x² - 2·x - 8

Therefore, the coordinates of the vertex of the parabola formed by the equation (h, k) is given as follows;

h = -(-2)/(2×1) = 1

k = 1² - 2×1 - 8 = -9

The coordinates of the vertex = (1, -9)

The roots of the equation is given when y = 0, as follows;

At the roots, we have;

x² - 2·x - 8 = 0

By factorizing, we get

x² - 2·x - 8 = (x - 4)·(x + 2) = 0

Therefore. the roots of the equation are;

x = 4, and x = -2

The coordinates of the roots are;

(4, 0), and (-2, 0)

Two other points can be found at when x = 3 and when x = 0 as follows;

When x = 3, we have;

y = 3² - 2×3 - 8 = -5

(3, -5)

When x  = 0, we have;

y = 0² - 2×0 - 8 = -8

(0, -8)

The five points are;

(1, -9), (4, 0), (-2, 0), (3, -5), (0, -8)

The graph of the equation created using MS Excel showing the five points is attached.

6 0
2 years ago
Can someone help me solve this problem?
ioda
The scale factor was D. 4. We can figure this out by multiplying 3 by 4 to get 12 and 1 by 4 which is 4 to get the dimensions of the larger triangle.
I hope this helped! :-)
6 0
3 years ago
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