How do you think transformations and math are related

Sales tax is 7%. If c represents the retail cost of an item, which of the following expressions represent(s) the total cost of t

Lilit [14]

Answer. C + .07c

Step-by-step explanation:

C is retail. Sales tax of 7% (.07) is added to that retail cost to reach the total sales price

4 0

3 years ago

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A seat on a Ferris wheel is level with the center of the wheel.The diameter of the wheel is 200 feet. Suppose the wheel rotated

Zanzabum

Answer: 86.6ft closer to the ground.

Step-by-step explanation:

The diameter of the wheel is 200ft

Then the radius, half of the diameter, is: r = 200ft/2 = 100ft.

Initially, the seat is at the same level that the center of the wheel.

And the distance between the center of the wheel and the bottom is the radius.

Then the initial position is at an angle of 0° from the x-axis. (where the (0,0) of this axis coincides with the center of the wheel=

Now, the wheel rotates 60°. (downwards, so we actually could use -60° measuring from the positive x-axis)

And thinking in this as a triangle rectangle, where the opposite angle is 60°, we can calculate the displacement in the vertical direction as:

y = sin(-60°)*R

y = sin(-60°)*100ft = -86.6ft

So the seat is 86.6ft closer to the ground.

6 0

3 years ago

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Blank% of 200 miles is 150 miles

erik [133]

The answer is 75% because 150/200 converted to a percent is 75%
150/200= 0.75
0.75 x 100 = 75%

7 0

3 years ago

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If a is equal to 2 + root 3 upon 2 minus root 3 and b is equal to 2 minus root 3 upon 2 + root 3 then what is the value of a squ

natulia [17]

195

Step-by-step explanation:

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8 0

2 years ago

What the slope and y intercept ? and how did you find it ?

EastWind [94]

Answer:

Slope: $m=4$

y-intercept: $b=-1$

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

$y=mx+b$

Where "m" is the slope and "b" is the y-intercept.

The slope can be found with the following formula:

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

In this case you can say that:

$y_2=-5\\y_1=11\\\\x_2=-1\\x_1=3$

Knowing this values you can substitute them into the formula and then evaluate, in order to find the slope. This is:

$m=\frac{-5-11}{-1-3}\\\\m=\frac{-16}{-4}\\\\m=4$

By definition, the line intersects the y-axis when the value of "x" is 0.

Notice in the table that when $x=0$ , $y=-1$

Therefore, the y-intercept is:

$b=-1$

7 0

3 years ago