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Galina-37 [17]
3 years ago
8

The universally accepted film size for movies has a width of 35 millimeters. If you want to project a movie onto a square sheet

that has an area of ​​100 square meters, what is the scale factor that is needed for the projection of the movie? Explain
Mathematics
1 answer:
dlinn [17]3 years ago
6 0

Answer:

<h2>The scale factor is 285.7143 ≅ 286.</h2>

Step-by-step explanation:

The square sheet has an area of 100 square meters.

Hence, the width of the sheet is \sqrt{100} = 10 meters.

The scale factor is needs to be in such a way, so that the film's wide will be match perfectly with the square sheet. Hence, 35x millimeters = 10 meters = 10000 millimeters .

x = \frac{10000}{35} = 285.7143.

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Given 1 inch = 2.54 centimeters, enter the value that will complete this
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3 years ago
When the temperature stays the same, the volume of a gas is inversely proportional to the pressure of the gas. If a balloon is f
valkas [14]

Answer:

The new pressure of the gas is 42 pounds per square inches.

Step-by-step explanation:

When the temperature remains constant, the volume of a gas is inversely proportional to the pressure of the gas.

V\propto \frac{1}{P}

We can rewrite the above equation is

\frac{V_1}{V_2}=\frac{P_2}{P_1}  [at constant temperature]

At a pressure of 14 pounds per square inches, a balloon is filled with 93 cubic inches of gas.

The volume of the gas is decreased to 31 cubic inches.

Here,

V_1= 93 cubic inches, P_1 = 14 pounds per square inches,

V_2=31 cubic inches, P_2 = ?

\frac{V_1}{V_2}=\frac{P_2}{P_1}

\Rightarrow \frac{93}{31}=\frac{P_2}{14}

\Rightarrow \frac{P_2}{14}=\frac{93}{31}

\Rightarrow {P_2}=\frac{93}{31}\times 14

\Rightarrow {P_2}=42 pounds per square inches

The new pressure of the gas is 42 pounds per square inches.

4 0
3 years ago
Four circular cardboard pieces of radii 7 cm are placed on a paper in such a way that each piece touches other two pieces. Find
Anastasy [175]
Required area of shaded portion

= Area of square ABCD - 4 × area of one quadrant

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3 0
3 years ago
How does estimating an addition or subtraction problem help you know if an answer is reasonable?
kiruha [24]

Answer:

It helps you know if the answer is reasonable because when you do the work and get your answer, you can check if it is close to your estimate, and if it is, it is most likely correct. On the other hand if it is not close to the estimate it is most likely wrong, unless you estimated incorrectly.

Step-by-step explanation:

7 0
3 years ago
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