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Vadim26 [7]
4 years ago
6

Which of the following quantities are inversely proportional?

Mathematics
2 answers:
son4ous [18]4 years ago
6 0

Answer:

Options: 1,3,4

Step-by-step explanation:

Please mark brainliest!

Nookie1986 [14]4 years ago
4 0

Answer:

Option 1

Option 3

Option 4

Step-by-step explanation:

Inversely proportional means "one quantity increases, the other decreases" or "one quantity decreases, other increases". Inverse relationship, that's it.

Option1:

Since the volume is given as 56 and we know the volume is area of base * height, to keep the volume at constant [56], if height increases, area of base would need to decrease, and vice verse. So inversely proportional.

Option2:

The time spend in plowing a field with a tractor will increase when we area using more fuel. So more fuel used means more time spent. So these are directly proportional, NOT inverse.

Option3:

Since the price is at constant, the amount of length we buy more, the price per one yard HAS to decrease, and vice versa. So, this is inverse relationship.

Option 4:

If the number of identical tranctors increase, it will take less time to plow the set 358 acre farm. And vice versa. So this is inversely proportional as well.

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Gekata [30.6K]

Answer:

1) The terminal side lies in quadrant 2

2) cosФ = -15/17

3) tanФ = -8/15

Step-by-step explanation:

1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1

2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17

3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15

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Step-by-step explanation:

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Minchanka [31]

The total measure of angles in a triangle is 180°.

3x° + 2x° + 4x° = 180°

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Done.

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Answer:

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Step-by-step explanation:

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