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luda_lava [24]
3 years ago
7

One frame of a film in a projector is about 50 mm high. The film isOne frame of a film in a projector is about 50 mm high. The f

ilm is projected onto a giant screen. The image of the film frame is 16 m high..
a.) What is the scale factor of this enlargement?
b.) A penguin is 35 mm high on the film. How high is the penguin on the screen?
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0
The frame of film is actually 50 mm high, but it looks 16 m high on the screen.

Remember that 1 m = 1,000 mm.

So everything looks (16,000)/(50) = <u>320 times</u> as big on the screen
as it is on the film. That's called the scale factor.

The penguin is 35 mm high on the film. He'll look 320 times bigger on the screen.

(320) x (35 mm) = 11,200 mm = <u>11.2 meters</u> high
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We need to factor 60 until it is prime numbers

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Rearranging the order

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A 100g apple is placed on a table. What is the force in newtons of the apple on the table?
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If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra
bearhunter [10]

Answer:

720 sq units.

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Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

<em>Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism</em>

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be l units.

Using pythagoras theorem, we can find out the value of l.

As per theorem:

Hypotenuse^{2} = Base^{2} + Height^{2}\\

\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 =  100\\\Rightarrow l = 10\ units

Lateral surface area of square prism = 4 \times Area of triangular surface

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So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0
2 years ago
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