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Nataly_w [17]
3 years ago
13

Circle is divided into 20 equal parts. What is the angle measure of three of those parts?

Mathematics
1 answer:
Nutka1998 [239]3 years ago
7 0
First, imagine a circle divided into 4 quarters
than you may use the following proportion

angle measure ------- part of circle
90^0 - -----\frac14\\ x \ \ ------\frac3{20}\\ \\ \frac14x=90^0\cdot\frac3{20}\\ \frac14x=\frac{270}{20}\\ \frac14x=\frac{27}2\ \ \ \ |\cdot4\\ x=\frac{27}2\cdot4\\ x=\frac{108}2\\ \boxed{x=54\ degrees}
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A triangle has the side lengths of 28 in,4in and31 inches. classify it as acute, obtuse or right
labwork [276]
The answer is obtuse

a = 4
b = 28
c = 31

If a² + b² > c²    -  the angle is acute
If a² + b² < c²    -  the angle is obtuse
If a² + b² = c²    -  the angle is right

a² + b² = 4² + 28² = 16 + 784 = 800
c² = 31² = 961

    800 < 900
a² + b² < c²  

Therefore, the angle is obtuse
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Answer:

80 parrots were purchased.

Step-by-step explanation:

Let the total number of parrots be k.

If 20% (or 20/100 = 1/5) flew away and 5% (5/100 = 1/20) died, the remaining parrots will be k – (¹/₅k + ¹/₂₀k) = k – ¼k = ¾k.

Of the remaining, 45% (or 45/100 = 9/20) were sold, which means the total number of sold parrots will be ¾k × ⁹/₂₀ = ²⁷/₈₀k.

The remaining parrots = ¾k – ²⁷/₈₀k = ³³/₈₀k = 33

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