A statement with the greatest acceptance among scientists is the_____

Simplify.<br> 12<br> 24<br> A) 3<br> 2<br> B) 6<br> 2<br> C) <br> 1<br> 2<br> D) <br> 2<br> 2

AleksandrR [38]

12/24 simplifies to 1/2, seeing as 12 is half of 24. :) Your answer is C.

5 0

4 years ago

Right triangle XYZ has right angle Z. If the sin(X)=1213<br> , what is the cos(X)

AlekseyPX

Given:

Right triangle XYZ has right angle Z.

$\sin(x)=\dfrac{12}{13}$

To find:

The value of $\cos x$ .

Solution:

We know that,

$\sin^2(x)+\cos^2(x)=1$

$\cos^2(x)=1-\sin^2(x)$

$\cos(x)=\pm\sqrt{1-\sin^2x}$

For a triangle, all trigonometric ratios are positive. So,

$\cos(x)=\sqrt{1-\sin^2x}$

It is given that $\sin(x)=\dfrac{12}{13}$ . After substituting this value in the above equation, we get

$\cos(x)=\sqrt{1-(\dfrac{12}{13})^2}$

$\cos(x)=\sqrt{1-\dfrac{144}{169}}$

$\cos(x)=\sqrt{\dfrac{169-144}{169}}$

$\cos(x)=\sqrt{\dfrac{25}{169}}$

On further simplification, we get

$\cos(x)=\dfrac{\sqrt{25}}{\sqrt{169}}$

$\cos(x)=\dfrac{5}{13}$

Therefore, the required value is $\cos(x)=\dfrac{5}{13}$ .

6 0

3 years ago

Elizabeth uses 23.25 ounces of granola and 10.5 ounces of raisins for 15 servings of Trail Mix if each serving contains the same

iren [92.7K]

There will be 2.25 ounces of trail mix in every seving.

7 0

3 years ago

Determine la ecuación general de la recta que pasa por los puntos (1,4); (- 2, - 5) y grafíquela.

Rudiy27

The equation of the line that passes through the points (1 , 4) and (-2, -5) is y = 3x + 1

<h3>Further explanation</h3>

Solving linear equation mean calculating the unknown variable from the equation.

Let the linear equation : y = mx + c

If we draw the above equation on Cartesian Coordinates , it will be a straight line with :

<em>m → gradient of the line</em>

<em>( 0 , c ) → y - intercept</em>

Gradient of the line could also be calculated from two arbitrary points on line ( x₁ , y₁ ) and ( x₂ , y₂ ) with the formula :

$\large {\boxed {m = \frac{y_2 - y_1}{x_2 - x_1}} }$

If point ( x₁ , y₁ ) is on the line with gradient m , the equation of the line will be :

$\large {\boxed{y - y_1 = m ( x - x_1 )} }$

Let us tackle the problem.

Let :

(1 , 4) → (x₁ , y₁)

(-2, -5) → (x₂ , y₂)

To find the straight line equation, the following formula can be used :

$\frac{y - y_1}{y_2 - y_1} = \frac{x - x_1}{x_2 - x_1}$

$\frac{y - 4}{-5 - 4} = \frac{x - 1}{-2 - 1}$

$\frac{y - 4}{-9} = \frac{x - 1}{-3}$

$\frac{y - 4}{3} = \frac{x - 1}{1}$

$y - 4 = 3 ( x - 1 )$

$y = 3x - 3 + 4$

$\large {\boxed {y = 3x + 1} }$

<h3>Learn more</h3>

Infinite Number of Solutions : brainly.com/question/5450548
System of Equations : brainly.com/question/1995493
System of Linear equations : brainly.com/question/3291576

<h3>Answer details</h3>

Grade: High School

Subject: Mathematics

Chapter: Linear Equations

Keywords: Linear , Equations , 1 , Variable , Line , Gradient , Point

4 0

4 years ago

You deposit $2000 each year into an account earning 3% interest compounded annually. How much will you have in the account in 25

kozerog [31]

This is what I get. Total will be 4187.56 with Interest 2187.56. By using the formula: To find amount : A=p (1+r/n)^n×t Where P=2000,r=3%,n=1,t=25 So plug in and solve A=2000(1+0.03/1)^1×25 To find interest you use formula A=p+I A=4187.56, p=2000,i= we need to find. 4187.56=2000+I 4187.56-2000=I 2187.56=i

3 0

3 years ago

A statement with the greatest acceptance among scientists is the______​

A statement with the greatest acceptance among scientists is the______