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3 years ago

What is the solution set of this inequality?

Mathematics

1 answer:

Gnoma [55]3 years ago

8 0

Answer:

$x\ge \:4$

Step-by-step explanation:

$8(x-5) -3x\geq -20\\\\\mathrm{Expand\:}8\left(x-5\right)-3x:\quad 5x-40\\\\5x-40\ge \:-20\\\\\mathrm{Add\:}40\mathrm{\:to\:both\:sides}\\\\5x-40+40\ge \:-20+40\\\\Simplify\\\\5x\ge \:20\\\\\mathrm{Divide\:both\:sides\:by\:}5\\\\\frac{5x}{5}\ge \frac{20}{5}\\\\Simplify\\\\x\ge \:4$

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Answer:

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Masja [62]

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2 years ago

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Help please. only answer if you know :(

Harrizon [31]

Answer:

Step-by-step explanation:

<u>Right Triangles</u>

In right triangles, where one of its internal angles measures 90°, the trigonometric ratios are satisfied.

We have completed the figure below with the missing internal angle A that measures A = 90° - 29° = 61° because the lines marked with an arrow are parallel.

Given the internal angle A, we can relate the unknown side of length x with the known side length of 500 ft, the hypotenuse of the triangle. We use the sine ratio:

$\displaystyle \sin 61^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}$

$\displaystyle \sin 61^\circ=\frac{x}{500}$

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