What do I do!! mike cuts 4 equal pieces. What is the angle measure of each piece? Write and solve the equation
1 answer:
Question:
Mike cut a round pizza into 4 equal pieces. What is the angle measure of each piece?
Answer:
Step-by-step explanation:
Given
Round pizza
Required
Angle measure of each
In a round object, the total angle is 360.
So, the angle of each piece is calculated by dividing 360 by the number of pieces (4)
So, we have:
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Answer:
90°
Step-by-step explanation:
The angle between the vectors can be found any of several ways. Here, we observe that the segments from the origin to the two points are at right angles to each other. (Their slopes are opposite reciprocals.) Hence the angle between the vectors is 90°.
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The slope to point 'a' is y/x = 2/1 = 2.
The slope to point 'b' is y/x = (-1/2)/1 = -1/2.
The product of these slopes is (2)(-1/2) = -1, indicating the vectors are perpendicular. The angle between them is 90°.
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We can also use the trig formula for the tangent of the difference of angles.
tan(α-β) = (tan(α) -tan(β))/(1 +tan(α)tan(β))
The tangents are the slopes, calculated above, so we have ...
tan(α -β) = (2 -(-1/2))/(1 +(2)(-1/2)) = (5/2)/0 = <em>undefined</em>
The tangent is <em>undefined</em> for angles that are odd multiples of 90°. The angle between the vectors is 90°.
