Direct variation is a relationship between two variables that can be expressed by an equation in which one variable is equal to a constant times the other

If y varies directly with x, then y ∝ x
y = k x, where k is the constant of variation

For a moving object, the force acting on the object varies directly with the object's acceleration.

Assume that the force is F and the acceleration is a

∵ F ∝ a

∴ F = k a

∵ F = 20 newtons

∵ a = 4 m/s²

- Substitute these values in the equation above to find k

∵ 20 = k (4)

∴ 20 = 4 k

- Divide both sides by 4

∴ k = 5

- Substitute the value of k in the equation

∴ F = 5 a ⇒ equation of variation

∵ F = 50 Newtons

∵ F = 5 a

∴ 50 = 5 a

- Divide both sides by 5

∴ 10 = a

∴ a = 10 m/s²

The acceleration of the object will be 10 m/s²

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You can learn more about variation in brainly.com/question/10708697

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7 0

3 years ago

An office building casts a 90 foot shadow. At the same time of day, a 5 foot woman standing near the building casts an 8 foot sh

Elenna [48]

Make a ratio:

Make sure shadow is in same location on both fractions (either numerator or denominator) 

x/90=5/8

Cross multiply:

8x=90x5
8x=450

x=56.25 feet 

Therefore, the approximate height of the building to the nearest foot would be 56.25 feet.

That makes sense, too, because the woman's shadow is taller than she is, but is less than double her height. The building shadow is taller than the building, but it's less than double the height of the building.

I hope my answer has come to your help. Thank you for posting your question here in Brainly.

8 0

3 years ago

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