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motikmotik
3 years ago
9

A theater company has raised $930.75 by selling 25 floor seat tickets. Each ticket costs the same.

Mathematics
1 answer:
tester [92]3 years ago
4 0

Part A:

To find the total mount made by selling the tickets, you need to multiply the number of tickets sold by the price of each ticket. Let the price of a ticket be X.

The equation would be Total = 25x

Part B:

Replace total with the amount they made and solve for x ( the price of a ticket).

930.75 = 25x

Divide both sides by 25:

X = 930.75 / 25

X = 37.23

The price of a ticket was $37.23

To know if it is right, multiply your answer by the number of tickets sold to see if it equals the total made:

37.23 x 25 = 930.75

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Charlotte measures the distance from the center of a circular garden to its edge and finds it is 43 meters. How long is the path
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Answer: 270.29 meters

Step-by-step explanation:

This is a circle which means that the distance that Charlotte measured from the center of a circular garden to its edge is the radius.

The length of the path which goes around the garden would therefore be the circumference.

Circumference = π * diameter

Diameter = radius * 2

= 43 * 2

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Circumference = 22/7 * 86

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A homogeneous rectangular lamina has constant area density ρ. Find the moment of inertia of the lamina about one corner
frozen [14]

Answer:

I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

Step-by-step explanation:

By applying the concept of calculus;

the moment of inertia of the lamina about one corner I_{corner} is:

I_{corner} = \int\limits \int\limits_R (x^2+y^2)  \rho d A \\ \\ I_{corner} = \int\limits^a_0\int\limits^b_0 \rho(x^2+y^2) dy dx

where :

(a and b are the length and the breath of the rectangle respectively )

I_{corner} =  \rho \int\limits^a_0 {x^2y}+ \frac{y^3}{3} |^ {^ b}_{_0} \, dx

I_{corner} =  \rho \int\limits^a_0 (bx^2 + \frac{b^3}{3})dx

I_{corner} =  \rho [\frac{bx^3}{3}+ \frac{b^3x}{3}]^ {^ a} _{_0}

I_{corner} =  \rho [\frac{a^3b}{3}+ \frac{ab^3}{3}]

I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

Thus; the moment of inertia of the lamina about one corner is I_{corner} =\frac{\rho _{ab}}{3}(a^2+b^2)

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3 years ago
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