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1 year ago

Given the right triangle XYZ which correctly describes the locations of the sides in relation to

1 answer:

5 0

a is adjacent, b is opposite, and c is the hypotenuse that correctly describes the locations of the sides in relation to Y.Option D is correct,

<h3>What is the triangle?</h3>

A triangle is a three-sided polygon. It is one of the most fundamental geometric forms.

The complete question is

"Given right triangle XYZ, which correctly describes the locations of the sides in relation to Y?

a is opposite, b is adjacent, c is the hypotenuse

a is the hypotenuse, b is opposite, c is adjacent

a is adjacent, b is the hypotenuse, c is opposite

a is adjacent, bis opposite, c is the hypotenuse"

Refer to the attached file for a clear understanding.

The positions of the sides in regard to Y are described by the terms and are adjacent, b is opposite, and c is the hypotenuse.

Hence the correct answer is D.

To learn more about the triangle, refer to:

brainly.com/question/2773823

#SPJ1

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Solve using algebraic equation: <br> 5sin2x=3cosx<br><br> (No exponents)

DaniilM [7]

$5\sin2x=3\cos x\iff10\sin x\cos x=3\cos x$

by the double angle identity for sine. Move everything to one side and factor out the cosine term.

$10\sin x\cos x=3\cos x\iff10\sin x\cos x-3\cos x=\cos x(10\sin x-3)=0$

Now the zero product property tells us that there are two cases where this is true,

$\begin{cases}\cos x=0\\10\sin x-3=0\end{cases}$

In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of $\dfrac\pi2$ , so $x=\dfrac{(2n+1)\pi}2$ where $n[/tex ]is any integer.\\Meanwhile,\\[tex]10\sin x-3=0\implies\sin x=\dfrac3{10}$

which occurs twice in the interval $[0,2\pi)$ for $x=\arcsin\dfrac3{10}$ and $x=\pi-\arcsin\dfrac3{10}$ . More generally, if you think of $x$ as a point on the unit circle, this occurs whenever $x$ also completes a full revolution about the origin. This means for any integer $n$ , the general solution in this case would be $x=\arcsin\dfrac3{10}+2n\pi$ and $x=\pi-\arcsin\dfrac3{10}+2n\pi$ .

6 0

3 years ago

What is the value of x?

viktelen [127]

Answer:

x = 113

Step-by-step explanation:

The sum of the angles of a triangle are 180 degrees

37+54+ x-24 = 180

Combine like terms

67+x = 180

Subtract 67 from each side

67-67+x = 180-67

x =113

6 0

3 years ago

Q14

posledela

Answer:

42.6cm

Step-by-step explanation:

The sum total of all the sides of the shape is the perimeter of the shape. Hence;

Perimeter = x+3 + 4 + x+9 + 2x+5

Perimeter = 4x + 21

Given

Area of the figure = 75cm^2

Area = (x+3)(2x+5) + (2x+1)(6)

75 = 2x²+5x+6x+15+12x+6

75 = 2x²+23x+21

2x²+23x+21-75 = 0

2x²+23x-54 = 0

x = -23±√23²-4(2)(-75)/4

x = -23±√529+600/4

x = -12±√1129/4

x = -12+33.6/4

x = 21.6/4

x = 5.4

Recall that;

Perimeter = 4x+21

Perimeter = 4(5.4) + 21

Perimeter = 21.6+21

Perimeter = 42.6cm

Hence the perimeter is 42.6cm

8 0

3 years ago

Write an equation of the line with the given properties. Your answer should be written in standard form.

Vanyuwa [196]

Given:

The slope of the line is m=0.

The line passes through the point P(-9,-3).

To find:

The equation of the line in standard form.

Solution:

Standard form of a line is:

$Ax+By=C$

The slope intercept form of the line is

$y-y_1=m(x-x_1)$

Where, m is the slope and $(x_1,y_1)$ is the point on the line.

It is given that the slope of the line is 3 and it passes through the point (-9,-3), so the equation of the line is

$y-(-3)=0(x-(-9))$

$y+3=0$

$y=-3$

Therefore, the standard form of the given line is $y=-3$ .

7 0

3 years ago

Which word best describes the degree of overlap between the two data sets?

snow_tiger [21]

Answer:

Moderate

Step-by-step explanation:

I think sorry if its wrong

6 0

3 years ago