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
Answer:
Las Vegas
Step-by-step explanation:
Answer:
a.Z(-2,1)
b.Z(1,1)
c.Z(-3,2)
Step-by-step explanation:
z(-2,3)
Imagine this point on a graph.
Translate it down two units :
the x stays -2, by going down the y decreases 2 so 3-2=1
Z(-2,1)
Translate Right three units : I'm assuming that we use the answer from the first translation
Z(-2,1)
The y doesn't change this time the x increases 3 since we're moving to the right.
Z(1,1)
Translate up 1 and left 4:
Z(1,1)
by moving up one we have Z(1,2) then by moving 4 to the left we get Z(-3,2)
Hope this helps :)
Answer:
The answer to your question is 10 hours.
Step-by-step explanation:
Inequality 12h + 240 > 360
Solve the inequality as if it was an equation
12h > 360 - 240
12h > 120
h > 120 / 12
h = 10 hours
Let's evaluate some number of hours
If h = 3 12(3) + 240 > 360
36 + 240 > 360
276 > 360 Incorrect, she needs to work more
than 3 hours
If h = 5 12(5) + 240 > 360
60 + 240 > 360
300 > 360 Incorrect, she needs to work more
than 5 hours
If h = 7 12(7) + 240 > 360
84 + 240 > 360
324 > 360 Incorrect she needs to work more
than 7 hours
If h = 11 12(11) + 240 > 360
132 + 240 > 360
372 > 360 Correct, she needs to work at least
10 hours.
Answer: A property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
Step-by-step explanation:
A property where sum of any number and its inverse is equal to zero is called additive inverse property.
For example, 11.5 + (-11.5) = 0
Here, 11.5 is the number and its inverse is (-11.5). The sum of both these is equal to zero. Hence, it shows a property of additive inverse.
Thus, we can conclude that property occurring in the example 11.5 + (-11.5) = 0, is additive inverse.
