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3 years ago

Help cant seem to figure out.

Mathematics

2 answers:

Dafna1 [17]3 years ago

5 0

Answer:

For a cylinder there is 2 kinds of formulas the lateral and the total. the lateral surface area is just the sides the formula for that is 2(pi)radius(height). the formula for the total surface area is 2(pi)radius(height) + 2(pi)radius squared.

Vadim26 [7]3 years ago

5 0

The equation for the surface are of a cylinder is 2 pi r h +2 pi r ^2
That’s means the equation is 2 pi 30 + 2 pi 9 which equals 245cm

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3 years ago

Population density is the number of people per unit of area. What is the population density of a state that has 1627260 people i

g100num [7]

If state has 1627260 people and 1490 square miles, then we divide the number of people by the area and we get the density per square mile.

1627260 / 1490 = 1092,120805369128

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The answer: In such a state 1092 people live in a square mile.

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4 years ago

The rate of change (dP/dt), of the number of people on an ocean beach is modeled by a logistic differential equation. The maximu

Kazeer [188]

Answer:

$\frac{dP}{dt} = 2.4P(1 - \frac{P}{1200})$

Step-by-step explanation:

The logistic differential equation is as follows:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

In this problem, we have that:

$K = 1200$ , which is the carring capacity of the population, that is, the maximum number of people allowed on the beach.

At 10 A.M., the number of people on the beach is 200 and is increasing at the rate of 400 per hour.

This means that $\frac{dP}{dt} = 400$ when $P = 200$ . With this, we can find r, that is, the growth rate,

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

$400 = 200r(1 - \frac{200}{1200})$

$166.67r = 400$

$r = 2.4$

So the differential equation is:

$\frac{dP}{dt} = rP(1 - \frac{P}{K})$

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3 0

3 years ago

3. What is the radius of the figure if the Area of the Sector is 288*pi? *

Alla [95]

Answer:

The radius of the circle is 36

x = 36

Step-by-step explanation:

Area of sector formula is:

$A=\frac{\theta}{360}*\pi r^2$

Given $\theta=80$ , and area (A) is $288\pi$ , we substitute and solve for r:

$A=\frac{\theta}{360}*\pi r^2\\288\pi=\frac{80}{360}*\pi r^2\\288\pi=\frac{2}{9}*\pi r^2\\288\pi=\frac{2\pi r^2}{9}\\2\pi r^2= 2592 \pi \\r^2= 1296\\r=\sqrt{1296}\\r=36$

Thus,

The radius of the circle is 36

x = 36

7 0

3 years ago

Help pls !!!!!!!!!!!!!!!!!!!!!

Inessa05 [86]

Answer:

k > 2 will be the solution of inequality

4 0

3 years ago

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