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alexandr1967 [171]
3 years ago
9

What is the angular velocity of a point that rotates through

Mathematics
1 answer:
ivann1987 [24]3 years ago
6 0

Answer:

Option A

Step-by-step explanation:

Angular velocity of an object is defined by,

Angular velocity (w) = \frac{\triangle \theta}{\triangle t}

Here, Δθ = Change in angle of rotation

Δt = Duration or time

In this question Δθ = \frac{7\pi }{2} radians and Δt = 24 seconds

Therefore, angular velocity = \frac{\frac{7\pi }{2} }{24}

                                              = \frac{7\pi }{48} radians per second

Option A is the answer.

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Determine if y varies directly with x. Give the constant of variation, when appropriate. (picture below)
maxonik [38]

Based on the given variation, y does not vary directly with x and the constant of variation are 8, 3.2 and 1.25 respectively.

<h3>Variation</h3>

y = k × x

where,

k = constant of proportionality

y = -40

x = -5

y = k × x

-40 = k × -5

-40 = -5k

k = -40/-5

k = 8

when,

y = 8 and x = 2.5

y = k × x

8 = k × 2.5

8 = 2.5k

k = 8/2.5

k = 3.2

when,

y = 5 and x = 4

y = k × x

5 = k × 4

5 = 4k

k = 5/4

k = 1.25

Learn more about variation:

brainly.com/question/6499629

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5 0
2 years ago
a ferry boat collects 67 people at pier one. At pier two 36 people get on and 23 people get off. At pier three 18 get on and 29
GREYUIT [131]

Starts off with 67 people.

Pier two: 67 + 36

               103 - 23 = 80

Pier three: 80 + 18

                 98 - 29 = 69

There will be 69 people on the boat heading for Pier four

6 0
3 years ago
What would you have to do to change 10 cubic feet into cubic inches?
Alina [70]

A. Divide by 46,656

B. Multiply by 1,728

C. Divide by 1,728

D. Multiply by 46,656

THE ANSWER IS B MULTIPLY BY 1,728


5 0
3 years ago
Which trigonometric value is equal to cos 62°?
Dennis_Churaev [7]
You answer is SIN 28°
5 0
3 years ago
Read 2 more answers
Which statement best describes how to determine whether f(x) = x3 + 5x + 1 is an even function?
kvasek [131]

Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.

To determine if a function is even, we need to check if f(-x)=f(x).

3 0
2 years ago
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