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g100num [7]
3 years ago
11

Simplify each expression

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0
 8.-12y^10               9.-15z^17       10.a^3b^3/125   11. 9x^2y^6/z^4
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The top tree broke and fell over.the remaining tree teunk is 3 feet tall.the tip of the tree rests on the ground 14 feet from th
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Answer:

14.3 feet.

14.3 feet

Step-by-step explanation:

The problem forms a right triangle in which:

The Vertical Leg of the Right Triangle = 3 feet

The Horizontal Leg of the Right Triangle =14 feet

We are to determine the length of the broken part of the tree. This is the Hypotenuse of the Right Triangle,

Using Pythagoras Theorem

Hypotenuse^2=Opposite^2+Adjacent^2\\Hypotenuse^2=14^2+3^2\\Hypotenuse^2=205\\Hypotenuse=\sqrt{205}\\Hypotenuse=14.32\\ \approx 14.3 feet $(to the nearest tenth of a foot).\\Therefore, the lenght of the broken part of the tree to the nearest tenth of a foot is 14.3 feet.

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3 years ago
An employer with 500 employees gives out gives out 120 surveys but receives only 90 surveys completed by the employees. What are
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Answer:

Population 120 given the survey, sample 90 who answered the survey.

Step-by-step explanation:

The entire amount of employees who even received the surveys at all was 120. Because the total number was 120, 120 is the population.

Only 90 out of 120 surveys were received, so 90 is the sample because it is part of 120.

Hope this helps :)

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The sum of a number and five is seventeen what is the number?​
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