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3 years ago

10

The total cost of a cab from downtown to the airport is $80.20. If you give the driver a 25 percent tip for getting to the airpo

rt early, how much will the gratuity be

2 answers:

lidiya [134]3 years ago

4 0

80.20 x .25 = 20.05 tip

Mama L [17]3 years ago

4 0

Answer: 20.05

Step-by-step explanation:

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The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?

Rudiy27

Answer:

Step-by-step explanation:

57 divided by 6 = 7.5

9.5 x 8 = $76

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2 years ago

The grocery store makes a 20% profit on baked goods. The profit for baked goods last month was $600. What was the total sales fo

torisob [31]

Let x = total sales of baked goods remember 20% = .20 as a decimal

so the equation would be .20x = $600

divide both sides by .20

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3 years ago

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elixir [45]

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3 years ago

Which of the following is the solution to the equation below?

nasty-shy [4]

Answer:

B

Step-by-step explanation:

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2 years ago

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:

<em>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.</em>

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

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

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

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