An interior angle of a regular polygon has a measure of 135°. What type of polygon is it?
1 answer:
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Answer:
= 29.64 to the nearest hundredth
Step-by-step explanation:
The three sides of a right-angled triangle have specific names:
- The hypotenuse (H) is the longest side. It is opposite the right angle.
- The opposite side (O) is opposite the angle in question.
- The adjacent side (A) is next to the angle in question.
The 3 trigonometric ratios are:
For the given triangle we are given the angle and the side that is OPPOSITE to the angle, and need to find the hypotenuse.
Therefore, we would use the trig ratio:
Substituting the values from the triangle:
Multiply both sides by :
Divide both sides by :
Therefore, = 29.63859553...
So = 29.64 to the nearest hundredth
Answer: last option (5π√146 units²)
Step-by-step explanation:
To solve the exercise you must apply the formula for calculate the lateral area of a cone, which is shown below:
where r is the radius but L is the slant height.
As you can see in the figure attached:
But you need to find the slant height with the Pythagorean Theorem (L would be the hypotenuse):
Substitute into the formula, then:
units²