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3 years ago

Round value of x. Round the answer to the nearest tenth.

Mathematics

1 answer:

Mrrafil [7]3 years ago

6 0

Answer:

Step-by-step explanation:

From the given right angle triangle,

the hypotenuse of the right angle triangle is 25

With ∠ 31 degrees as the reference angle,

the adjacent side of the right angle triangle is the unknown side.

the opposite side of the right angle triangle is x.

To determine x, we would apply

the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 31 = x/25

x = 25Sin31

x = 25 × 0.5150

x = 12.875

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Find the value of the variables

Vedmedyk [2.9K]

Answer:

x = 15

y = 12

z = 20

Step-by-step explanation:

For right angle x^2 + z^2 = (9 + 16)^2 => x^2 + z^2 = 625

then z^2 = y^2 + 16^2 => y^2 = z^2 - 256

and x^2 = y^2 + 9^2 => y^2 = x^2 - 81

so z^2 - 256 = x^2 - 81

z^2 = x^2 + 175

replace z^2 = x^2 + 175 into the first equation

x^2 + (x^2 + 175) = 625

2x^2 = 450

x^2 = 225

x = 15

If x = 15 => 15^2 + z^2 = 625 => z^2 = 400 => z = 20

y^2 = z^2 - 256 => y^2 = 400 - 256 = 144

then y = 12

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2 years ago

Which three expressions are equavalent to the expression 3x-12-2(x+12)

IgorC [24]

3x-12-2x-24
Simplify and you get x-36

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2 years ago

A car is traveling up a steep ramp to a parking garage.the ramp is 445 feet long and rises a vertical distance of 80 feet. What

Alecsey [184]

With the information provided in the problem, we can create a right triangle with the ramp as its hypotenuse, and the vertical rise as its opposite side from its angle of elevation.
Let $E$ be the angle of elevation from the car to the end of the ramp. We now know that the hypotenuse of our triangle measures 445 feet, and the opposite side measures 80 feet, so we need a trig function that relates our angle of elevation with the hypotenuse and the opposite side. That function is sine:
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$E=arcsine( \frac{80}{445} )$
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We can conclude that the angle of elevation from the car to the end of the ramp is 10.36°.

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Step-by-step explanation:

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Step-by-step explanation:

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