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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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4 years ago

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LUCKY_DIMON [66]

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so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

$\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill$

$\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}$

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2 years ago

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Tcecarenko [31]

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3 years ago

Read 2 more answers