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Pavlova-9 [17]
3 years ago
5

Solve the compound inequality.

Mathematics
1 answer:
agasfer [191]3 years ago
3 0

Answer:

-8<x < 6

Step-by-step explanation:

Given the inequality

8x > -64

x > -64/8

x > -8

-8 <x

If 10x<60

10x/10 < 60/10

x < 6

Combine both

-8<x < 6

This gives the solution

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A building casts a shadow that is 50 feet in length. If the distance from the end of the shadow to the top of the building is 25
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Answer:  244.95 feet

Step-by-step explanation:

This scenario forms the shape of a right angled triangle with the shadow length being the triangle's length and the distance between the end of the shadow to the top of the building being the hypotenuse.

Use Pythagorean theorem:

c² = a² + b²

250² = 50² + b²

62,500 = 2,500 + b²

b²= 62,500 - 2,500

b² = 60,000

b = √60,000

b= 244.95 feet

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4 years ago
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