The completed construction of regular hexagon is shown below explain why act is a 30-60-90 triangle
1 answer:
In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
<h3>How to explain the reason</h3>ACF is a 30º-60º-90º triangle because of the following reasons;
Based on a theorem, in a 30°-60°-90° triangle, it is said that the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg,
1 → short leg = 1
2 → hypotenuse = 2
√3 → long leg = √3
Using the Pythagorean theorem., we have that
a² + b² = c²
1² + b² = 2²
b² = 2² - 1²
b² = 4 - 1
b² = 3
√b² = √3
b = √3
Thus, in a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
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The correct statement about the earthquake in the state is option c. State A had approximately 3,362 more earthquakes than State B.
<h3>How to solve for the earthquake in the state A</h3>we have x/y = 0.00299
y = 163696
To solve for x we have
163696 * 0.00299
= 4895 earthquakes
<h3>Next we have to solve for earth quakes in state B</h3>x = 0.1402 x 10931
= 1533
Next we have to find the difference
4895 - 1533 = 3362 earthquakes.
We have to conclude that state A has 3362 earthquakes more than B. Hence the answer is c.
<h3 />Read more on seismic activity here:
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Complete question
The seismic activity density of a region is the ratio of the number of earthquakes during a given time span to the land area affected. The table shows the land area and seismic activity density.
Which statement about the number of earthquakes the states had for the given time span is true?
State A had approximately 1,533 more earthquakes than State B.
State B had approximately 1,533 more earthquakes than State A.
State A had approximately 3,362 more earthquakes than State B.
State B had approximately 3,362 more earthquakes than State A.
Answer:
26 minutes and 40 seconds
Step-by-step explanation:
