1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
babymother [125]
3 years ago
15

The circumference of a circle is 15.2mm.

Mathematics
2 answers:
Anastasy [175]3 years ago
8 0
2.4mm -> pi*diameter=circumference so divide by pi to get the diameter, then the radius is half of this
andrey2020 [161]3 years ago
7 0

Answer:

r = 2.4

Step-by-step explanation:

Given, circumference = 15.2 mm

We know that, circumference = 2πr

So, 2πr = 15.2 mm

=> 2(3.14)r = 15.2

=> 3.14r = 15.2/2

=> 3.14r = 7.6

=> r = 7.6/3.14

=> r = 2.42...

=> r = 2.4 [rounded to one decimal place]

You might be interested in
I need help with this plz !!!!!!
Alika [10]
2nd one is the correct one I think
5 0
3 years ago
Read 2 more answers
How much longer is the ring - necked snake than the red -bellied snake?
olga_2 [115]

Answer:

4.6 inches

hope it helps

Step-by-step explanation:

11.5 x 1.4 = 16.1

16.1 - 11.5 = 4.6


4 0
4 years ago
Water is leaking out of a large barrel at a rate proportional to the square rooot of the depth of the water at that time. If the
sdas [7]

Answer:

It will take about 35.49 hours for the water to leak out of the barrel.

Step-by-step explanation:

Let y(t) be the depth of water in the barrel at time t,  where y is measured in inches and t in hours.

We know that water is leaking out of a large barrel at a rate proportional to the square root of the depth of the water at that time. We then have that

                                                 \frac{dy}{dt}=-k\sqrt{y}

where k is a constant of proportionality.

Separation of variables is a common method for solving differential equations. To solve the above differential equation you must:

Multiply by \frac{1}{\sqrt{y}}

\frac{1}{\sqrt{y}}\frac{dy}{dt}=-k

Multiply by dt

\frac{1}{\sqrt{y}}\cdot dy=-k\cdot dt

Take integral

\int \frac{1}{\sqrt{y}}\cdot dy=\int-k\cdot dt

Integrate

2\sqrt{y}=-kt+C

Isolate y

y(t)=(\frac{C}{2} -\frac{k}{2}t)^2

We know that the water level starts at 36, this means y(0)=36. We use this information to find the value of C.

36=(\frac{C}{2} -\frac{k}{2}(0))^2\\C=12

y(t)=(\frac{12}{2} -\frac{k}{2}t)^2\\\\y(t)=(6 -\frac{k}{2}t)^2

At t = 1, y = 34

34=(6 -\frac{k}{2}(1))^2\\k=12-2\sqrt{34}

So our formula for the depth of water in the barrel is

y(t)=(6 -\frac{12-2\sqrt{34}}{2}t)^2\\\\y(t)=\left(6-\left(6-\sqrt{34}\right)t\right)^2\\

To find the time, t, at which all the water leaks out of the barrel, we solve the equation

\left(6-\left(6-\sqrt{34}\right)t\right)^2=0\\\\t=3\left(6+\sqrt{34}\right)\approx 35.49

Thus, it will take about 35.49 hours for the water to leak out of the barrel.

5 0
4 years ago
The formula for the volume of a pyramid is
Pepsi [2]

Answer:

h = 3v/b

Step-by-step explanation:

Here, we want to select the equation that solves for h

What this simply means is that we should make h the subject of the formula

Thus, we have 3 * v = bh

3v = bh

h = 3v/b

7 0
3 years ago
Find the exact distance between (5, 3) and (-2, 8).
Brrunno [24]

Answer:

The answer is

<h2>\sqrt{74}  \:  \:  \:  \: units \\</h2>

Step-by-step explanation:

The distance between two points can be found by using the formula

d =  \sqrt{ ({x1 - x2})^{2} +  ({y1 - y2})^{2}  } \\

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(5, 3) and (-2, 8)

The distance between them is

d =  \sqrt{( {5 + 2})^{2} + ( {3 - 8})^{2}  }  \\  =  \sqrt{ {7}^{2} +  ({ - 5})^{2}  }  \\  =  \sqrt{49 + 25}  \\  =  \sqrt{74}  \:  \:  \:  \:  \:  \:  \:  \:  \:  \:

We have the final answer as

\sqrt{74}  \:  \:  \:  \: units \\

Hope this helps you

8 0
3 years ago
Other questions:
  • You want to evaluate three mutual funds using the Sharpe measure for performance evaluation. The risk-free return during the sam
    13·1 answer
  • -40=t-10 can anybody help me with this?
    13·2 answers
  • Which of the following best represents the average rate at which infants gain weight for the first six months after birth? (1 po
    11·1 answer
  • A trophy is made up of copper and nickel. The ratio of their weights is 6:11. If the amount of copper in the trophy is 48 pounds
    13·1 answer
  • Please help me solve this by substitution: <br> y=x+2<br> 3x+3y=6
    5·1 answer
  • Could u help me please?
    10·2 answers
  • 10. Barbara puts $22 a week for 30 weeks in her savings account at the bank.
    10·1 answer
  • I need help, can you please help me?
    10·1 answer
  • The center and a point on a circle are given. Find the circumference to the nearest tenth.
    8·1 answer
  • Put the following equation of a line into slope-intercept form, simplifying all fractions. 12x + 4y = -12​
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!