A cyclist is riding a bicycle whose wheels have a diameter of 2.1 feet. Suppose the wheels turn at a rate of 260 revolutions per minute. (a) Find the angular speed of the wheels in radians per minute. (b) Find the speed of the cyclist in feet per minute. Do not round any intermediate computations, and round your answer to the nearest whole number.

Answers

Answer 1

Answer:

a.1633rad/min

b.1715feet/min

Step-by-step explanation:

We are given that

Diameter of wheel, d=2.1 feet

Radius of wheel, r=[tex]\frac{d}{2}=\frac{2.1}{2}[/tex]feet

Rate=260 rev/min

a. We have to find the angular speed of the wheel in rad/min

1 rev=[tex]2\pi[/tex]radian

Where [tex]\pi=3.14[/tex]

Using the value

Angular speed=[tex]260\times 2\times 3.14/min[/tex]

Angular speed,[tex]\omega=1633rad/min[/tex]

(b)

Speed=[tex]r\omega[/tex]

Using the formula

Speed of  the cyclist=[tex]\frac{2.1}{2}\times 1633[/tex]feet/min

Speed of  the cyclist=1714.65[tex]\approx 1715[/tex]feet/min


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Mr. Voelz estimates that he will spend $10 on concessions at the basketball game, He actually spends $15. What is the percent error?

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Answer:

.........................................................................................................................................................................

Step-by-step explanation:

find the area of the shaded region under the
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Answer

The area of the shaded region under the standard normal curve is 0.4834.

Step-by-step explanation:

A random variable X is said to have a normal distribution with mean, µ and variance σ².

Then , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z  N (0, 1).

The distribution of these z-variates is known as the standard normal distribution.

Compute the area under the curve between -2.13 and 0 as follows:

                           

Thus, the area of the shaded region under the standard normal curve is 0.4834.

Hello Brainly pleas help

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Answer:

can you take a better pick

Step-by-step explanation:

3 units easy cuz 1.5 from A to zero and 1.5 feom zero to B.

5(3x - 7 + 4y)
*
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Your answer

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Answer:

15x - 35 + 20y

Step-by-step explanation:

distribute

5 x 3x = 15x

5 x -7 = -35

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How much is 20% off of $90.75?

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The answer is $18.15

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Which expression shows an equivalent way to represent the total bill?

Answers

Answer:

(7+5.5)m + 5.5(2)

Step-by-step explanation:

Given:

Equation;

7m + 5.5(2+m)

Find:

Equivalent way

Computation:

7m + 5.5(2+m)

7m + 11 + 5.5 m

12.5m + 11

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(7+5.5)m + 5.5(2)

Find the coordinate point for D that would make ABDC a rhombus.

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Answers

Answer: The correct answer is (5, 3)

Step-by-step explanation: I got it right on the exam

(5,3) will make a rhombus.

What is Rhombus?

A Quadrilateral with all sides equal but with nonequal diagonals is know as Rhombus.

How to solve?

Let D have coordinate (x,y)

The length of all the sides of the rhombus is equal.

length of AB = [tex]\sqrt{({2-3})^2 + ({2-4})^2} = \sqrt{1+4} = \sqrt{5}[/tex]

Similarly BD = [tex]\sqrt{({3-x})^2 + ({4-y})^2} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex] -------------(1)

CD = [tex]\sqrt{({4-x})^2 + ({1-y})^2} = \sqrt{17+{x}^2+{y}^2-8x-2y}[/tex] -------------(2)

We know BD = CD gives,

[tex]\sqrt{17+{x}^2+{y}^2-8x-2y} = \sqrt{25+{x}^2+{y}^2-6x-8y}[/tex]

By squaring both sides and solving we get,

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Since BCD is a right-angled triangle,

[tex]{BC}^2 = {BD}^2 + {CD}^2[/tex]  

BC = [tex]\sqrt{10}[/tex]

10 = 5 + [tex]\sqrt{17+{x}^2+{y}^2-8x-2y}[/tex]

8  = [tex]{x}^2+{y}^2-8x-2y[/tex] -------------------(4)

solving equation (3) and (4) we get x = 5 and y = 3

TO Learn more about Rhombus visit:

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Dylan paid $3.50 for 12 folders. How much would he pay for 30 folders?

Answers

$8.75 for 30 folders

Answer:

8.75

Step-by-step explanation:

12f=3.50

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3.50/12*30= 8.75

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:


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Mr. Voelz estimates that he will spend $10 on concessions at the basketball game. He actually spends $15. What is the percent error?

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Answers

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Answer:

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you can chose to belive me or not

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The correct option is C.

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A triangle is said to be right-angled if one of its inner angles is 90 degrees, or if any one of its angles is a right angle.

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An area of the right triangle = 24 square meters.

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ummmmmmm -26 ......... in

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Step-by-step explanation:

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