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ELEN [110]
3 years ago
15

Solve the inequality.

Mathematics
1 answer:
77julia77 [94]3 years ago
6 0

42 < -6d

divide 6 by both sides,

7 < -d

(C) d > -7 is the answer.

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A regular hexagon with side length 4 has the same area as a square. What is the length of the square?
svetlana [45]

Answer: The length of the square is 6.44

Step-by-step explanation:

By definition, the area of a Regular polygon can be calculated with the following formula:

A=\frac{s^2n}{4tan(\frac{180}{n})}

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Since an hexagon has six sides, you know that:

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A_h=\frac{(4^2)(6)}{4tan(\frac{180}{6})}\\\\A_h=24\sqrt{3}

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Since that regular hexagon has the same area as this square, you can substituting the area calculated above into the formula for calculate the area of a square, and then solve for "s".

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7 0
3 years ago
If f(x) = {(2, 3), (4, 8), (7, –1)} and g(x) = {(8, 2), (–1, 4), (2, 7)}, find (f ◦ g)(x), if it exists.
zepelin [54]

Answer:

(f o g )(x) = {8, 3), (-1, 8), (2, -1)}

Step-by-step explanation:

(f o g)(x) = [f(g(x)]

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So, (f o g )(x) = {8, 3), (-1, 8), (2, -1)}

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Answer:

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Step-by-step explanation:

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3 years ago
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