Since the angle is positive, you can find any coterminal angle by applying:
Angle + x = 2π ==> 7π/6 + x = 2π ==> x = 2π - 7π/6
x= 12π/6 -7π/6 = 5π/6
So the angle 5π/6 is the coterminal of 7π/6
Answer:
see explanation
Step-by-step explanation:
Given the width is 
of the length, then
y - 4 = (2y + 6)
Multiply through by 3 to clear the fraction
3y - 12 = 2y + 6 ( subtract 2y from both sides )
y - 12 = 6 ( add 12 to both sides )
y = 18
Thus
length = 2y + 6 = 2(18) + 6 = 36 + 6 = 42 in
width = y - 4 = 18 - 4 = 14 in
Answer:
B: 3:8
Step-by-step explanation:
3x8=21
1x2=2
3x4=16
22x32=424
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Answer:
2.9 mi
Step-by-step explanation:
The time difference t between 12.30pm and 3.30pm is 3h.
Let the distance to Marat's house be s.
The equation to calculate velocity v is given by:
v = distance / time.
Now you can write an equation for the time difference t and use the two velocities and the 90 min(= 1.5h) she stays:
3 = s/12 + 1.5 + s/2.3
Solve this equation for s:
(1/12 + 10/23)* s = 1.5
s = 2.9
