<img src="https://tex.z-dn.net/?f=%20%7B4x%7D%5E2%20%5Ctimes%20%20%7B4x%7Dy%5E4%7B%3F%7D%20" id="TexFormula1" title=" {4x}^2 \ti

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Feliz [49]

4 years ago

mes {4x}y^4{?} " alt=" {4x}^2 \times {4x}y^4{?} " align="absmiddle" class="latex-formula">

Mathematics

1 answer:

timurjin [86]4 years ago

4 0

The first step for solving this expression is to multiply 4 by 4.
16x² × x $y^{4}$
Remember that if a term doesn't have an exponent,, it is considered that the exponent is actually 1. This changes the expression to the following:
16x² × $x^{1}$ $y^{4}$
Now multiply the terms with the same base by adding their exponents.
16 $x^{2+1}$ $y^{4}$
Lastly,, add the exponents together to get your final answer.
16x³ $y^{4}$
Let me know if you have any further questions.
:)

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lisov135 [29]

Hi there!

What we need to know:

The three main trigonometric ratios are sine, cosine and tangent:

$\displaystyle sin\theta=\frac{opposite}{hypotenuse}$ $\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$ $\displaystyle tan\theta=\frac{opposite}{adjacent}$

"Opposite" refers to the side opposite the angle that is not the hypotenuse.

"Hypotenuse" refers to the side opposite the right angle of a right triangle.

"Adjacent" refers to the side next to the angle that is not the hypotenuse.

"θ" is read as "theta". It just represents the angle.

Keep in mind that these three ratios only apply to right triangles.

You can use the mnemonic "soh-cah-toa" to help you remember these ratios.

First question

For the first question, we're given the angle with a measure of 56 degrees and the length of the hypotenuse. We must calculate a, which represents the side adjacent to the given angle.

Given the hypotenuse and the adjacent side, we know that we must use the cosine ratio:

$\displaystyle cos\theta=\frac{adjacent}{hypotenuse}$

Plug in the given information:

$\displaystyle cos56=\frac{a}{13}$