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2 years ago

Sching Equations with Variables on both sides 1 A Acelas Solve for x. X-6 = 5(x + 2)

Mathematics

1 answer:

Allisa [31]2 years ago

5 0

Answer:

Step-by-step explanation:

here you go mate

step 1

x-6 = 5(x + 2) equation/Question

step 2

x-6 = 5(x + 2) simplify

x+(-)6=5x+10

x-6=5x+10

step 3

x-6=5x+10 subtract 5x

-4x-6=10

step 4

-4x-6=10 add 6

-4x=16

step 5

$\frac{-4x}{-4}=\frac{16}{-4} \\$

answer

x=-4

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Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotat

SpyIntel [72]

Answer:

a) The expression for the change in angular position is $\theta = 5\cdot t$ .

b) The expression for the height of Ryan regarding the center of the Ferris wheel is $H(t) = 40\cdot \sin (5\cdot t)$ .

c) The expression for the height of Ryan above the ground is $H(t) = 40\cdot \sin (5\cdot t) + 47$ .

Step-by-step explanation:

The statement is incomplete. Complete form is introduced below:

Kyle boards a Ferris wheel at the 3-o'clock position and rides the Ferris wheel for multiple revolutions. The Ferris wheel rotates at a constant angular speed of 5 radians per minute and has a radius of 40 feet. The center of the Ferris wheel is 47 feet above the ground. Let t represent the number of minutes since the Ferris wheel stated rotating.

a) Write an expression (in terms of t) to represent the varying number of radians $\theta$ Ryan has swept out since the ride started.

b) Write an expression (in terms of t) to represent Ryan's height (in feet) above the center of the Ferris wheel.

c) Write an expression (in terms of t) to represent Ryan's height (in feet) above the ground.

a) Let suppose that Ferris wheel rotates counterclockwise. As the Ferris wheel rotates at constant rate, this kinematic expression can be used to determine the change in angular position ( $\theta$ ), in radians:

$\theta = \omega \cdot t$ (1)

Where:

$\omega$ - Angular velocity, in radians per minute.

$t$ - Time, in second.

If we know that $\omega = 5\,\frac{rad}{min}$ , then the expression for the change in angular position is $\theta = 5\cdot t$ .

b) Geometrically speaking, Ryan's height with respect to the center of the Ferris wheel is described by the following formula:

$H(t) = r \cdot \sin (\omega\cdot t)$ (2)

Where:

$r$ - Radius of the Ferris wheel, in feet.

$H(t)$ - Height of Ryan with respect to the center of the Ferris wheel, in feet.

If we know that $\omega = 5\,\frac{rad}{min}$ and $r = 40\,ft$ , then the expression for the height of Ryan regarding the center of the Ferris wheel is $H(t) = 40\cdot \sin (5\cdot t)$ .

c) We use the following geometric expression to model Ryan's height above the ground:

$H(t) = r\cdot \sin (\omega\cdot t) +h_{o}$ (3)

Where $h_{o}$ is the height of the center of the Ferris wheel above the ground, in feet.

If we know that $h_{o} = 47\,ft$ , $\omega = 5\,\frac{rad}{min}$ and $r = 40\,ft$ , then the expression for the height of Ryan above the ground is $H(t) = 40\cdot \sin (5\cdot t) + 47$ .

5 0

3 years ago

What is the equation of the line in standard form? A function graph of a line with two points (-3,1) and (3,2) with an x axis of

zaharov [31]

Answer:

x - 6y = -9

Step-by-step explanation:

We are given two points (-3,1) and (3,2) on a line so we will use them to find the slope.

Slope ( $m$ ) = $\frac{2-1}{3+3} =\frac{1}{6}$

The standard form of the equation is $y=mx+c$ so we will substitute the values of the coordinates of a point and slope (m) to find the y-intercept (c).

$2=\frac{1}{6} +c\\\\c=\frac{3}{2}$

So the equation of the line which passes through the given points will be $y=\frac{1}{6} x+\frac{3}{2}$ which can be rearranged to write it as:

x - 6y = -9

8 0

3 years ago

Read 2 more answers

What is the most specific name for the figure? I NEED THE ANSWER

marshall27 [118]

The most specific name for the figure in the image is a Rectangle. Option B

This is further explained below.

<h3>What is the most specific name for the figure?</h3>

Generally, According to the principles of Euclidean geometry, a Rectangle is considered to be a regular quadrilateral since it has four sides of equal length amongst opp two sides

Another way to describe it is as a rectangle with two neighboring sides that have the same length.

The term coordinate is pronounced exactly the same as o-ordinate. When used as an adjective, these phrases might signify to have the same status or rank, to have something to do with coordination, or to have something to do with an intersection of indices.

In conclusion, A Rectangle is the most accurate description of the shape that can be seen in the picture. Alternative B