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3 years ago

A cyclist is riding a bicycle whose wheels have a diameter of feet. Suppose the wheels turn at a rate of revolutions per minute.

Mathematics

1 answer:

SCORPION-xisa [38]3 years ago

5 0

Answer:

a.2010 rad/min

b.2412 feet/min

Step-by-step explanation:

We are given that

Diameter of wheel,d=2.4 feet

Radius,r= $\frac{d}{2}=\frac{2.4}{2}=1.2feet$

a.Rate=320 rev/minute

1 rev= $2\pi$ radian

320 rev/minute= $320\times 2\pi=640\pi radian/minute$

Where $\pi=3.14$

Angular speed= $640\times 3.14=2010 rad/min$

b.Speed,v= $r\omega$

$v=2010\times 1.2=2412 feet/min$

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Find the slope of the line with the given equation. Show your work.<br> 6x – 2y = 18

Vera_Pavlovna [14]

Currently the equation 6x - 2y = 18 is in standard form. Convert the standard form equation into a slope-intercept form and we can find the slope easily.

Solve for y.

6x - 2y = 18
-2y = 18 - 6x <-- Subtract 6x from each side. This is to isolate the 2y term
2y / -2 = $\frac{18 - 6x}{2}$ <-- Divide each side by 2. This it to
get rid of the 2 coefficient.
y = -9 + 3x

Rearrange the right-hand side a bit.

y = -9 + 3x becomes y = 3x - 9

Now it is in slope-intercept form.
The slope is the coefficient of the x variable.

So, 3 is the slope.

7 0

3 years ago

A university with a high water bill is interested in estimating the mean amount of time that students spend in the shower each d

Bas_tet [7]

Answer: $(4.0845,\ 6.5755)$

Step-by-step explanation:

As per given , we have

n = 11

$\overline{x}=5.33\\\\ s=1.33$

Since population standard deviation is missing, so we use t-test.

Critical t-value for 99% confidence :

$t_{\alpha/2,\ n-1}=3.106$ [using two-tailed t-value table]

Confidence interval :

$\overline{x}\pm t_{\alpha/2}\dfrac{s}{\sqrt{n}}\\\\= 5.33\pm (3.1060)\dfrac{1.33}{\sqrt{11}}\\\\\approx5.33\pm1.2455\\\\=(5.33-1.2455,\ 5.33+1.2455)\\\\=(4.0845,\ 6.5755)$

Hence, 99% confidence interval for the mean amount of time that students spend in the shower each day.= $(4.0845,\ 6.5755)$

7 0

3 years ago

A lab technician has to fill the tank given below. <br> Find it’s volume .

wel

Answer:

The volume of the cylinder shown in the figure is 628 cube meters

Step-by-step explanation:

Given figure is about cylinder

The height of the cylinder = h = 8 meters

The radius of the base of cylinder = r = 5 meters

Now, let The volume of cylinder = V m³

So, The volume of cylinder is given as V = $\pi$ ×r²×h

where r is the radius of its base

And h is the height of cylinder

The value of $\pi$ = 3.14

So, V = $\pi$ × r² × h

Or, V = 3.14 × (5)² × 8

Or, V = 3.14 × 25 × 8

or, V = 628 m³

So, The volume of cylinder = V = 628 m³

Hence The volume of the cylinder shown in the figure is 628 cube meters Answer

6 0

3 years ago

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netineya [11]

Answer:

1/25 of a mile per minute, I think

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

Which equation can be used to find the volume of the cylinder?

sammy [17]

Answer:

V = 904.32cm3

Step-by-step explanation:

V = r*r*pi*h

= 6*6*3.14*8 = 904.32cm3

7 0

3 years ago