The measure in radians for the central angle of the circle is; 0.9 radians.
<h3>What is the angle measure in radians of the central angle?</h3>
Since, the length of the arc is given as 7.2cm and it's radius is 8cm.
It follows that the angle measure of the central angle can be evaluated as follows;
7.2 = (A/6.28) × 2× 3.14 × 8
7.2 = 8A
A = 7.2/8
A = 0.9 radians.
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Answer:
y=-2(x+2)
Step-by-step explanation:
plug in(-2,0) into y-y1=m(x-x1)
y=m(x+2)
slope =m=-2
y=-2(x+2)
P(x)=R(x)-C(x)
=(-0.5x²+800x-100)-(300x+250)
=-0.5x²+800x-100-300x-250
=-0.5x²+800x-300x-100-250
=-0.5x²+500x-350 (2)
Answer:2x
Step-by-step explanation:
Answer:
Resultant speed = 12 km/h.
Bearing is 107.14 degrees.
Step-by-step explanation:
This can be represented by a triangle of velocities with lengths 15 and 5 with the included angle = 45 degrees.
To find the velocity of the resultant we use cosine rule:
v^2 = 15^2 + 5^2 - 2*5*15cos 45
v^2 = 143.934
v = 12.0 km/h to the nearest tenth.
To find the bearing we use the sine rule to find the angle down from due east>
12 / sin 45 = 5/ sin x
sin x = 5 sin 45 / 12 = 0.2946278
x = 17.14 degrees.
Bearing is therefore 90 + 17.14 = 107.14 degrees.