2000 - 800 = 1200 moving forward. That is the direction of least resistance.
The linear velocity of the Ferris wheel in inches per second is 18.9 inches/second.
<h3>What is the speed of an object?</h3>
The speed of an object is the ratio of the total distance covered by the object and the total time taken by the object to complete that distance.
Here, the radius of the Ferris wheel is (r) = 30 feet.
The circumference of the wheel is
C= 2πr
C= 2 × π × 30 feet
C= 60π feet
Here, the Ferris wheel completes 7 revolutions.
Therefore, it covers the linear distance of
D= 7 × circumference of the wheel
D= 7 × 60π feet
D= 420π feet
Now, the Ferris wheel took 14 minutes to complete 420π feet.
Therefore, the speed of the wheel is
S= (420π/14) feet/minute
S= 30π feet/minute
S= (30π × 12)/60 inches/second
S= 6π inches/second
S= 18.9 inches/second
Therefore the linear velocity of the object will be 18.9 inches/second
Learn more about the speed of an object here: brainly.com/question/16123156
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Answer:
15,000cm^2
Step-by-step explanation:
Given data
Dimension of a card
Length= 15cm
Widht= 10cm
Area= 15*10= 150cm^2
Now if 1 card covers area of 150cm^2
the 100 cards will cover x
cross multiply
x= 150*100
x= 15,000cm^2
Hence the total area covered is 15,000cm^2
Answer:
Imaginary roots
Step-by-step explanation:
The discriminant of a quadratic in standard form is given by .
Given , subtract 5x from both sides so that the quadratic is in standard form:
Now assign variables:
The discriminant is therefore .
What does this tell us about the roots?
Recall that the discriminant is what is under the radical in the quadratic formula. The quadratic formula is used to find the solutions of a quadratic. Therefore, the solutions of this quadratic would be equal to for some and . Since the number under the radical is negative, there are no real roots to the quadratic (whenever the discriminant is negative, the are zero real solutions to the quadratic). Therefore, the quadratic has imaginary roots.