All categories

3 years ago

Least to greatest 20,4,.6,.08

1 answer:

5 0

.08 , .6, 4, 20

.08 has a hundredth value, while .6 has a tenth value. You could also look at .6 as .60 which might help.

You might be interested in

Determine how to translate triangle ABC to triangle A'B'C'

vichka [17]

Do you still need the answer to this or nah?

8 0

3 years ago

Gas is escaping from a spherical balloon at the rate of 12 ft3/hr. At what rate (in feet per hour) is the radius of the balloon

bija089 [108]

Answer:

This is the rate at which the radius of the balloon is changing when the volume is 300 $ft^3$ $\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \:\frac{ft}{h} \approx -0.05537 \:\frac{ft}{h}$

Step-by-step explanation:

Let $r$ be the radius and $V$ the volume.

We know that the gas is escaping from a spherical balloon at the rate of $\frac{dV}{dt}=-12\:\frac{ft^3}{h}$ because the volume is decreasing, and we want to find $\frac{dr}{dt}$

The two variables are related by the equation

$V=\frac{4}{3}\pi r^3$

taking the derivative of the equation, we get

$\frac{d}{dt}V=\frac{d}{dt}(\frac{4}{3}\pi r^3)\\\\\frac{dV}{dt}=\frac{4}{3}\pi (3r^2)\frac{dr}{dt} \\\\\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}$

With the help of the formula for the volume of a sphere and the information given, we find $r$

$V=\frac{4}{3}\pi r^3\\\\300=\frac{4}{3}\pi r^3\\\\r^3=\frac{225}{\pi }\\\\r=\sqrt[3]{\frac{225}{\pi }}$

Substitute the values we know and solve for $\frac{dr}{dt}$

$\frac{dV}{dt}=4\pi r^2 \frac{dr}{dt}\\\\\frac{dr}{dt}=\frac{\frac{dV}{dt}}{4\pi r^2} \\\\\frac{dr}{dt}=-\frac{12}{4\pi (\sqrt[3]{\frac{225}{\pi }})^2} \\\\\frac{dr}{dt}=-\frac{3}{\pi \left(\sqrt[3]{\frac{225}{\pi }}\right)^2}\\\\\frac{dr}{dt}=-\frac{3}{\pi \frac{225^{\frac{2}{3}}}{\pi ^{\frac{2}{3}}}}\\\\\frac{dr}{dt}=-\frac{3}{225^{\frac{2}{3}}\pi ^{\frac{1}{3}}} \approx -0.05537 \:\frac{ft}{h}$

7 0

4 years ago

At a museum you can see the four cable lines that are used to pull cable cars up and down a hill. Each cable travels at a speed

borishaifa [10]

Answer:

54.514 rev/min

Step-by-step explanation:

Data provided in the question:

Speed of the cable car = 12.65 miles per hour

Diameter of the rotating wheel, d = 6.5 feet

Now,

The speed of rotation of the wheel will be equal to the speed of the cable car

thus,

The speed of rotation of the wheel = 12.65 miles per hour

also,

1 miles = 5280 feets

1 hour = 60 minutes

Thus,

The speed of rotation of the wheel = $\frac{12.65\times5280}{60}$

= 1113.2 ft/ min

Circumference of the wheel = πd

= 6.5π feet

= 20.42 feet

Therefore,

The speed of rotation of the wheel in revolutions per minute

= 1113.2 ÷ 20.42 rev/min

= 54.514 rev/min

6 0

3 years ago

padilas [110]

Answer:

x = 31

ROS = 62

Step-by-step explanation:

QOR + ROS = 90 degrees as indicated by the box

28+ 2x = 90

Subtract 28 from each side

2x = 90 -28

2x = 62

Divide by 2

2x/2 = 62/2

x = 31

ROS = 2x = 2*31 = 62

7 0

3 years ago

Read 2 more answers

Which of the following could represent the scale factor of the smaller figure to the larger figure?

Reptile [31]

Answer:

It could be 2:5 or 6pi:15pi

Step-by-step explanation:

If you write the ratio of the surface area as a fraction, you would get $\frac{20\pi *yd^{2} }{125\pi *yd^{2} }$ . Simplifying it would leave $\frac{4}{25}$ . But this is NOT the answer because that is the ratio of the surface area. You have to square root it to find the scale factor. The square root is $\frac{2}{5}$ . The answers would be 2:5 and 6pi:15pi.

8 0

3 years ago