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marshall27 [118]
3 years ago
6

Simplify by combining like terms: 9x - 3y -5x + 2y -x + 2

Mathematics
1 answer:
UNO [17]3 years ago
7 0

Answer:

3x-y=-2

Step-by-step explanation:

9x-5x-x-3y+2y=-2

3x-y=-2

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1) Given a cone 10 feet tall with a diameter of 10 feet, determine the radius of the smaller cone created when a horizontal plan
True [87]

Answer:

The radius of the base of the small cone is 3 feet

Step-by-step explanation:

The question requires the determination of the radius of the smaller cone

Therefore, height of the larger cone = 10 feet

Base diameter of the larger cone = 10 feet

Height of horizontal plane of small plane above base of larger cone = 4 feet

Hence the height of the small cone = 6 feet

Therefore, by similar triangles, and tangents we have;

\frac{Height \, of \, small \, cone}{Height \, of \, larger\, cone} =\frac{Diameter \, of \, base \, of \, small \, cone}{Diameter \, of \, base \, of \, larger \ cone} =\frac{6}{10} = \frac{x}{10}

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x = The diameter of the base of the small cone

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{x} = \frac{6}{10} \times 10 = 6 \, feet

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∴ The radius of the base of the small cone = (6 feet)/2 = 3 feet.

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