Drag the tiles to the correct boxes to complete the pairs. Match the angle measurements in radians with equivalent measurements less than or equal to 360°.
1 answer:
Answer:
60° =19π/3
288°=22π/9
315°=23π/4
80°=18π/5
Step-by-step explanation:
The question is incomplete. Find the completed question in the attachment.
We are to convert the radian values to the corresponding degrees that are less than 360°
Since π rad = 180°
For 23π/4:
If π rad = 180°
23π/4 = x
Cross multiply:
πx = 23π/4 × 180
x = 23π/4π × 180
x = (23×180)/4
x = 1035°
Next is to scale down 1035° to a degree less than 360 and to do this we will be subtracting multiples of 360° from the value gotten.
x = 1035 - (360×2)
x = 1035 - 720
x = 315°
Hence 23π/4 = 315°
For 18π/5:
If π rad = 180°
18π/5 = y
Cross multiply:
πy = 18π/5 × 180
y = 18π/5π × 180
y = (18×180)/5
y = 648°
In scaling down:
y = 648°-360°
y = 288°
Hence 18π/5 = 288°
For 22π/9:
If π rad = 180°
22π/9 = t
Cross multiply:
πt = 22π/9 × 180
t = 22π/9π × 180
t = (22×180)/9
t = 440°
In scaling down:
t = 440-360°
t = 80°
Hence 22π/9 = 80°
For 19π/3:
If π rad = 180°
19π/3 = y
Cross multiply:
πy = 19π/3 × 180
y = 19π/3π × 180
y = (19×180)/3
y = 3420/3
y = 1140°
In scaling down:
y = 1140°-(3×360)°
y = 1140-1080
y = 60°
Hence 19π/3 = 60°
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Step-by-step explanation:
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