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1 year ago

Trigonometry PLEASE HELP

Mathematics

1 answer:

Natalija [7]1 year ago

6 0

Answer:

x = 13.7

Step-by-step explanation:

The side marked 22 is a leg of the right triangle. The side marked x is also a leg of the right triangle. The angle marked 58° is right next to the side marked x. It is ADJACENT to the angle. The 22 side is OPPOSITE from the angle. The trig ratio that puts together the ADJACENT side and the OPPOSITE side is the tangent.

tan Angle= OPP/ADJ

tan 58° = 22/x

Times both sides by x

xtan58° = 22

Divide by tan58°

x = 22/tan58°

at this point you need need a calculator. There will be a button "tan" enter tan 58° and hit enter. Make sure your calculator is in degree mode. There will probably be a "deg" on the screen or in the info if you hit a "mode" button (its like settings)

divide 22 ÷ (tan58°)

use parentheses.

x = 13.7

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<h3>The option A) $x^{10}z^7$ is correct answer.</h3><h3>The correct simplification for the given expression $\frac{x^{12}\times z^{11}}{x^2\times z^4}$ is $x^{10}z^7$ </h3>

Step-by-step explanation:

Given expression is x to the 12th power times z to the 11th power all over x to the 2nd power times z to the 4th power.

The given expression can be written as $\frac{x^{12}\times z^{11}}{x^2\times z^4}$

<h3>To choose the correct simplification of the given expression :</h3>

Now we have to simplify the given expression as below

$\frac{x^{12}\times z^{11}}{x^2\times z^4}$

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$=x^{10}z^7$

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