The measure of each exterior angle is 60° and the polygon has 6 sides ⇒ 4th answer
Step-by-step explanation:
In a regular n-side polygon:
- All sides are equal in lengths
- All angles are equal in measure
- The measure of each interior angle =
- The measure of each exterior angle =
- The sum of interior angle and exterior angle at a vertex is 180°
∵ The measure of an interior angle of a regular polygon is 120°
∵ The sum of interior angle and exterior angle at a vertex = 180°
∴ The measure of each exterior angle = 180 - 120
∴ The measure of each exterior angle = 60°
∵ The measure of each exterior angle =
- Substitute the measure of the exterior angle by 60
∴ 
- By using cross multiplication
∴ 60 n = 360
- Divide both sides by 60
∴ n = 6
∴ The polygon has 6 sides
The measure of each exterior angle is 60° and the polygon has 6 sides
Learn more:
You can learn more about polygons in brainly.com/question/6281564
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Since the problem is not telling us the height of Silvio, we are going to assume it is not relevant for our calculations.
Let
the altitude of the incoming plane. We know for our problem that the distance between Silvio and the tower is 3 miles, Also we know that the angle of elevation to the plane is 40°. With this information we can create a triangle as shown in the figure. We need a function that relates the angle of elevation with its opposite and adjacent sides, that function is tangent.
We can conclude that we should use the trig function tangent to model this situation; also, we can conclude that the equation that describes this situation is
.
Answer:
Is this the full question?
Step-by-step explanation:
No less than or greater than signs are used, so C and D are out
In this case the equation starts as .45M + 3.50
The only matching statement is A
Annual rate = 1.05%
Simple interest formula is I = Prt * 100
Where P is principle, I is interest, r is rate and t is time.
Transpose to make r the subject
Prt * 100 = I
r = I/ Pt * 100
Substitute values into the equation.
Let I = $1260, P = $30,000 and t = 4 years
r = $1260/ $30,000 * 4 * 100
r = 0.0105 * 100
r = 1.05%
