All categories

3 years ago

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