Number 10 I don't understand.

2. Find the value of x and y rounded to the nearest tenth.

Using relations in a right triangle, it is found that the values of x and y are given by: x = 24, y = 46.4, given by option a.

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.

The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.

The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

First, we start with the vertical line h that divides y, that is <u>opposite to an angle of 30º, with hypotenuse 34</u>, hence:

sin(30º) = h/34

0.5 = h/34

h = 17.

Then, h is opposite to an angle of 45º, while the hypotenuse is x, hence:

$\sin{45^\circ} = \frac{17}{x}$

$x = \frac{17}{\sin{45^\circ}}$

x = 24.

y is divided into two segments.

The first is the adjacent to the angle of 30º, while the hypotenuse is 34.

The second is adjacent to the angle of 45º, while the hypotenuse is 24.

Then:

$\cos{30^\circ} = \frac{y_1}{34}$

$y_1 = 34\cos{30^\circ} = 29.4$

$\cos{45^\circ} = \frac{y_2}{24}$

$y_2 = 24\cos{45^\circ} = 17$

Then, the value of y is given by:

$y = y_1 + y_2 = 29.4 + 17 = 46.4$ .

More can be learned about relations in a right triangle at brainly.com/question/26396675

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4 0

2 years ago

(94) 8. 9-14<br> What is the answer?

Alona [7]

(94 * 8.9) - 14
836.6 - 14
822.6 = answer

Hope it helps :)

4 0

3 years ago

For the given function f(x) = 2.6x + 4.3, x is the number of years since 2000 and y (or f(x)) is the percent of students taking

dsp73

Answer:

in 2005, 17.3 percent of students are taking at least one online course

Step-by-step explanation:

f(5) = 2.6(5) +4.3 = 17.3

The definition of the function f(x) tells you that f(5) = 17.3 means 5 years after the year 2000, 17.3 percent of students are taking at least one online course.

7 0

3 years ago

Using complete sentences, discuss the different kinds of real numbers. In your answer, glve an example of each type and discuss

Nadya [2.5K]

Answer:

Different type of real numbers include natural numbers, whole numbers, integers, irrational numbers, and rational numbers. Natural numbers are the set of numbers (1, 2, 3, 4...) also known as counting numbers. Whole numbers are natural numbers including zero (0, 1, 2, 3, 4...). Integers are the set of whole numbers and their opposites (-3, -2, -1, 0, 1, 2, 3...). Irrational numbers are numbers that cannot be expressed as a ratio of two integers. Their decimal expansions are nonending and nonrepeating. An example of an irrational number is pi (3.14). A rational number is a number that can be written as a fraction. It includes integers, terminating decimals, and repeating decimals. An example of a rational number is the number 214.

Step-by-step explanation:

7 0

3 years ago

A storage space in a basement is in the shape of a rectangular prisim. The hieght of the storage space is 5 feet. The length is

Greeley [361]

Answer:

length is 28.86ft

width= 4.12ft

Step-by-step explanation:

<h2>This problem bothers on the mensuration of solid shapes, a rectangular prism.</h2>

The storage space takes the shape of a rectangular prism, and we are required to find the width and length of the storage space.

let the width of the basement be "w"