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3 years ago

A right triangle is shown.

Mathematics

1 answer:

jarptica [38.1K]3 years ago

3 0

Answer:

Step-by-step explanation:

From the given right angle triangle,

The unknown side represents the hypotenuse of the right angle triangle.

With m∠x as the reference angle,

the adjacent side of the right angle triangle is 7.8

the opposite side of the right angle triangle is 8

To determine m∠x, we would apply

the Tangent trigonometric ratio.

Tan θ, = opposite side/adjacent side. Therefore,

Tan x = 8/7.8 = 1.026

x = Tan^-1(1.026)

x = 45.7° to the nearest tenth

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<h3>Intercepts</h3>

The intercepts of a function are the points where the graph of the function crosses the x-axis

<h3>The function</h3>

The function is given as:

$3x + 4y = 24$

Set y to 0, to calculate the x-intercept

$3x + 4(0) = 24$

$3x = 24$

Divide both sides by 3

$x = 8$

Set x to 0, to calculate the y-intercept

$3(0) + 4y = 24$

$4y = 24$

Divide both sides by 4

$y = 6$

Hence, the x and the y-intercepts of the function are 8 and 6, respectively