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4 years ago

The number expressed using exponents

1 answer:

8 0

This expression can be written in a shorter way using something called exponents. An expression that represents repeated multiplication of the same factor is called a power.The number 5 is called the base, and the number 2 is called the exponent. For example $x^{2}$

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Triangle X Y Z is shown. Angle Y X Z is a right angle. The length of Y X is 12 inches and the length of X Z is 10 inches. Angle

mario62 [17]

The best approximation for the measure of angle XYZ is 39.8° ⇒ 2nd answer

Step-by-step explanation:

Let us revise the trigonometry ratios in the right triangle ABC, where B is the right angle, AC is the hypotenuse, AB and BC are the legs of the triangle

The trigonometry ratios of the angle BAC, the opposite side to this angle is BC and the adjacent side to it is AB are

$sin(BAC)=\frac{opposite}{hypotenuse}=\frac{BC}{AC}$
$cos(BAC)=\frac{adjacent}{hypotenuse}=\frac{AB}{AC}$
$tan(BAC)=\frac{opposite}{adjacent}=\frac{BC}{AB}$

In Δ XYZ

∵ ∠ YXZ is a right angle

∴ The hypotenuse is YZ

∵ The adjacent side to ∠XYZ is XY

∵ The opposite side to ∠XYZ is XZ

∵ YX = 12 units

∵ XZ = 10 units

- Use tan ratio to find the measure of the angle because you

have the adjacent and opposite sides of the angle XYZ

∵ m∠XYZ is x

∵ $tan(x)=\frac{XZ}{XY}$

∴ $tan(x)=\frac{10}{12}$

- To find x use the inverse of tan(x)

∵ $x=tan^{-1}(\frac{10}{12})$

∴ x = 39.8°

∴ m∠XYZ = 39.81°

The best approximation for the measure of angle XYZ is 39.8°

Learn more:

You can learn more about the trigonometry ratios in brainly.com/question/4924817

#LearnwithBrainly

4 0

3 years ago

Read 2 more answers

What is a rational number

dsp73

Anything except pi is a rational number. So 9 and 7/10 is one or it could be a whole number

7 0

4 years ago

Where is the solution located on a graph a system of equations?

geniusboy [140]

For a system of two variables and two equations, each equation will be a linear graph, and where the lines intersect is the solution as an ordered pair (x,y). If the lines don’t intersect (they’re parallel) so there is no unique solution.

5 0

3 years ago

Figure PQRS is rotated counterclockwise

sleet_krkn [62]

I gotchu fam, a rotation is occurring and we know this because it’s rotating 180°. Figures PQRS and P’Q’R’S’ are congruent because they are the same shape and size, just in different places.

4 0

3 years ago

Mario collected data about some of the players on a women’s basketball team. The data is shown in the form of table, mapping, an

Mumz [18]

Answer:

1. No, because each x value can only have one y value (one-to-one relationship).

2. No, because each x value can only have one y value (one-to-one relationship).

3. Yes, because one member of the domain is assigned to one member of the range.

Step-by-step explanation:

4 0

2 years ago