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gtnhenbr [62]
3 years ago
10

What's the volume of the cone?

Mathematics
1 answer:
dmitriy555 [2]3 years ago
7 0
V = (pi)r^2h / 3
   = (pi)10^2(81) / 3
   = (pi)(100)(81) / 3
   = (pi)(8100) / 3
   = (pi)2700

So C.
You might be interested in
32) The cost of mailing a first-class letter is $.22 for the first ounce and $.17 for each additional ounce or fraction
masya89 [10]
Answer is $1.31
Step by step
We know total weight is 7.4 ounce
The first ounce is $.22
That leaves 6.4 ounces to pay for at $.17 per ounce
6.4 x .17 = 1.088 round to $1.09
Add $1.09 + $.22 = $1.31
You don’t have that choice listed
3 0
1 year ago
Plz help me I really don't know
Alex
The value of the expression would be 16.25 or 16 and 1/4, because when you multiply something by 1/2, you’re basically dividing it by 2, and when you put parentheses next to a number (for example 2(4) ), it means that you’re multiplying it, and when more than one values are in the parentheses, they all get multiplied, basically distributive property.
5 0
2 years ago
Which pair of functions have the same domain? A. F(x)= sin x and g(x) = tan x B. F(x) = cos x and f(x) = csc x C. G(x) = tan x a
EastWind [94]

Answer:

The correct choice is D

Step-by-step explanation:

The trigonometric functions, \sin x and \cos x are defined for all real numbers.

\tan x=\frac{\sin x}{\cos (x)}, this function is not defined where \cos x=0.

\cot x=\frac{\cos x}{\sin (x)}, this function is not defined where \sin x=0.

\csc x=\frac{1}{\sin (x)}, this function is not defined where \sin x=0.

For option A

The domain of f(x)=\sin(x) is all real numbers.

The domain of g(x) =tanx is x\ne \frac{(2n+1)\pi}{2}

For option B

The domain of f(x)=\cos(x) is all real numbers.

The domain of f(x) =csc(x) is x\ne n\pi

For option C,

The domain of G(x) =tanx is x\ne \frac{(2n+1)\pi}{2}

The domain of f(x) =cot(x) is x\ne n\pi

For option D;

The domain of f(x) =cot(x) is x\ne n\pi

The domain of f(x) =csc(x) is x\ne n\pi

3 0
3 years ago
Read 2 more answers
On a 1616 scale drawing of a bike, one part is 3 inches long. How long will the actual bike part be?
gregori [183]
4848 inches is how long the bike will be
5 0
3 years ago
A rumor spreads through a small town. Let y ( t ) be the fraction of the population that has heard the rumor at time t and assum
Ivan

Answer:

Differential equation

\frac{dy}{dt} =ky(1-y)

Solution

y=\frac{1}{1+4e^{-0.327t}}

Value of constant k=0.327 days^(-1)

The rumor reaches 80% at 8.48 days.

Step-by-step explanation:

We know

y(t): proportion of people that heard the rumor

y'(t)=ky(1-y), rate of spread of the rumor

Differential equation

\frac{dy}{dt} =ky(1-y)

Solving the differential equation

\frac{dy}{y(1-y)}=k\cdot dt \\\\\int \frac{dx}{y(1-y)} =k \int dt \\\\-ln(1-\frac{1}{y} )+C_0=kt\\\\1-\frac{1}{y} =Ce^{-kt}\\\\\frac{1}{y} =1-Ce^{-kt}\\\\y=\frac{1}{1-Ce^{-kt}}

Initial conditions:

y(0)=0.2\\y(3)=0.4\\\\y(0)=0.2=\frac{1}{1-Ce^0}\\\\1-C=1/0.2\\\\C=1-1/0.2= -4\\\\\\y(3)=0.4=\frac{1}{1+4e^{-3k}} \\\\1+4e^{-3k}=1/0.4\\\\e^{-3k}=(2.5-1)/4=0.375\\\\k=ln(0.375)/(-3)=0.327\\\\\\y=\frac{1}{1+4e^{-0.327t}}

Value of constant k=0.327 days^(-1)

At what time the rumor reaches 80%?

y(t)=0.8=\frac{1}{1+4e^{-0.327t}} \\\\1+4e^{-0.327t}=1/0.8=1.25\\\\e^{-0.327t}=(1.25-1)/4=0.0625\\\\t=ln(0.0625)/(-0.327)=8.48

The rumor reaches 80% at 8.48 days.

8 0
3 years ago
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