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3 years ago

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

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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).

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

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

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multiplying both sides by 2

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multiplying both sides by 2

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3 years ago

Find the positive square root of 26.77

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Step-by-step explanation:

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3 years ago

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.

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2 years ago

Can someone help me solve this problem?

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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! :-)

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3 years ago