Find the measures of two angles, one positive and one negative, that are coterminal with
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1 answer:
Answer:
a. 11/5 pi; -9/5 pi
Step-by-step explanation:
Coterminal angles are those which have a common terminal side. For example 30° is coterminal with −330° and 390° (see figure).
From the example we can see that the following expressions must be fulfilled:
positive angle - reference angle = 360°
reference angle - negative angle = 360°
where positive angle is 390°, reference angle is 30° and negative angle is -330°. In this problem reference angle is pi/5. Also, we have to change 360° for its equivalent in radians, i. e., 2 pi. So,
positive angle - pi/5 = 2 pi
positive angle = 2 pi + pi/5
positive angle = 11/5 pi
pi/5 - negative angle = 2 pi
negative angle = pi/5 - 2 pi
negative angle = -9/5 pi
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Answer:
Areas of the colored parts are equal
Step-by-step explanation:
Given Mauricio divided two identical rectangles into equal parts.
Now given Mauricio colored one part of each rectangle. we have to tell about the true statement of colored parts.
Two identical rectangles means the rectangle having equal areas. He divides these two into equal parts and shaded one of each part
Let area of rectangle is x
∴ Colored part area = → (1)
Similarly, other rectangle area identical to above rectangle is x
∴ Colored part area = → (2)
From above eq (1) and (2), we get
Areas of the colored parts are equal which is equals to