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Contact [7]
3 years ago
13

How do you find the scale factor of two triangles, 0.3 and 2.4?

Mathematics
1 answer:
bagirrra123 [75]3 years ago
8 0
Divide the larger one by the smaller one. 2.4 divided by 0.3 gives you 8. That means the scale factor is 8, or the larger triangle is 8 times larger than the smaller. We can prove this by multiplying 0.3 by 8 and getting 2.4
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A cereal company is exploring new cylinder-shaped containers. Two possible containers are shown in the diagram.x is 6 and r=4.5
KatRina [158]

Answer:

Container \rm X will have less label area than container \rm Y by about 9\; \rm in.

Step-by-step explanation:

A rectangular sheet of paper can be rolled into a cylinder. Conversely, the lateral surface of a cylinder can be unrolled into a rectangle- without changing the area of that surface.

Indeed, the width of that rectangle will be the same as the height of the cylinder. On the other hand, the length of that rectangle should be exactly equal to the circumference of the circles on the top and the bottom of the cylinder. In other words, if a cylinder has a height of h and a radius of r at the top and the bottom, then its lateral surface can be unrolled into a rectangle of width h and length 2\,\pi\, r.

Apply this reasoning to both cylinder \mathrm{X} and \rm Y:

For cylinder \mathrm{X}, h = 6\; \rm in while r = 4.5\; \rm in. Therefore, when the lateral side of this cylinder is unrolled:

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That corresponds to a lateral surface area of 54\, \pi\; \rm in^2.

For cylinder \rm Y, h = 10.5\; \rm in while r = 3\; \rm in. Similarly, when the lateral side of this cylinder is unrolled:

  • The width of the rectangle will be 10.5\; \rm in, while
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That corresponds to a lateral surface area of 63\,\pi \; \rm in^2.

Therefore, the lateral surface area of cylinder \rm X is smaller than that of cylinder \rm Y by 9\,\pi\; \rm in^2.

5 0
3 years ago
Rewrite the expression in the form x
Serga [27]

Answer:

See below (I hope this helps!)

Step-by-step explanation:

When dividing exponential terms of the same base, we can simply subtract the exponents, therefore:

\frac{x^{6} }{x^{8} } = x^{(6-8)} = x^{-2}

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3 years ago
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Answer:

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Mnenie [13.5K]
8 + 13 + 14 + 7 = 42

Chinese = 8/42
Simplified = 4/21
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Step-by-step explanation:

you should only make one equation:

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3 years ago
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