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3 years ago

Find the area of a circle whose radius is 52 km. Round to nearest tenth

Mathematics

2 answers:

kozerog [31]3 years ago

8 0

Step-by-step explanation:

3.142×52^2=8494.866535

8494.9 nearest tenth

goblinko [34]3 years ago

7 0

Answer:

8494.87 is the actual answer but the rounded version is 8494.9

You might be interested in

Solve the given initial value problem and determine how the interval in which the solution exists depends on the initial value y

zalisa [80]

Answer:

y has a finite solution for any value y_0 ≠ 0.

Step-by-step explanation:

Given the differential equation

y' + y³ = 0

We can rewrite this as

dy/dx + y³ = 0

Multiplying through by dx

dy + y³dx = 0

Divide through by y³, we have

dy/y³ + dx = 0

dy/y³ = -dx

Integrating both sides

-1/(2y²) = - x + c

Multiplying through by -1, we have

1/(2y²) = x + C (Where C = -c)

Applying the initial condition y(0) = y_0, put x = 0, and y = y_0

1/(2y_0²) = 0 + C

C = 1/(2y_0²)

1/(2y²) = x + 1/(2y_0²)

2y² = 1/[x + 1/(2y_0²)]

y² = 1/[2x + 1/(y_0²)]

y = 1/[2x + 1/(y_0²)]½

This is the required solution to the initial value problem.

The interval of the solution depends on the value of y_0. There are infinitely many solutions for y_0 assumes a real number.

For y_0 = 0, the solution has an expression 1/0, which makes the solution infinite.

With this, y has a finite solution for any value y_0 ≠ 0.

8 0

4 years ago

nadya68 [22]

Answer:

41 miles per gallon

Step-by-step explanation:

41 miles ÷ 1

1 gallons ÷ 1

41 miles

1 gallons

41 miles

gallon

41 miles per gallon

*Every number divided or multiplied

by 1 is the same number (1÷1=1 / 2÷1=2)*

3 0

3 years ago

Help me please. The answer is 3350 but i need to do step by step. But i dont know how<br>

Radda [10]

Answer:

3350

Step-by-step explanation:

100 + 8 = 108%

108% is 3618

100% is x

108x = 3618 * 100

108x = 361800

x = 361800/108

= 3350

Hence, the original salary is HRK 3350

<em>Feel free to mark this as brainliest! :D</em>

5 0

3 years ago

recipe for sparkling grape juice calls for 5/8 quarts of sparkling water and 1/5 quarts of grape juice how much sparkling water

ohaa [14]

You would need 18 3/4 quarts of sparkling water.

3 0

3 years ago

The position function of a particle in rectilinear motion is given by s(t) = 2t^3 + 21t^2 + 60t + 3 for t ≥ 0 with t measured in

natta225 [31]

As the fellow above said, the particle does make a U-turn at the vertex, and we can find that out by getting the derivative of s(t) and zeroing it out to get the point of the horizontal tangent.

Bearing in mind that ds/dt is really v(t) or the velocity equation, so when we zero out the ds/dt, is the same as saying the velocity went to 0, since it got zeroed out, and then the particle goes over the vertex and changes direction.

$\bf s(t)=2t^3-21t^2+60t+3\implies \boxed{\cfrac{ds}{dt}=6t^2-42t+60}\leftarrow v(t)
\\\\\\
0=6t^2-42t+60\implies 0=t^2-7t+10\implies 0=(t-5)(t-2)
\\\\\\
t=
\begin{cases}
5\\
2
\end{cases}\impliedby \textit{it makes the first turn at the \underline{2 second}}
\\\\\\
\textit{now let's find the acceleration equation, a(t)}
\\\\\\
\boxed{\cfrac{d^2s}{dt^2}=12t-42}\leftarrow a(t)\\\\
-------------------------------\\\\
s(2)=55\qquad \qquad \qquad \qquad a(2)=-18$

the negative acceleration value, simply means a decreasing rate of change, so, it means the particle is slowing down and possibly coming to a stop before changing direction again.

8 0

3 years ago