First, determine the circumference (C) of the circle, the equation,
C = 2πr
Substituting the value or the radius,
C = 2π ( 4) = 8π
The arc length is the product of the circumference and the ratio between the subtended angle and 360. The mathematical expression is already,
S = (8π) x (72 / 360) = 0.8π
Thus, the arc is 0.80π.
Answer:
see explanation
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Subtract the sum of the given angles from 180 for B
B = 180° - (90 + 47)° = 180° - 137° = 43°
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tan47° = =
Multiply both sides by 14
14 × tan47° = a, thus
a ≈ 15.0 (to the nearest tenth )
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cos47° = =
Multiply both sides by c
c × cos47° = 14 ( divide both sides by cos47° )
c = ≈ 20.5 ( to the nearest tenth )
Answer:
y = 2x - 1
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = 2
The line crosses the y- axis at (0, - 1) ⇒ c = - 1
y = 2x - 1 ← equation of line
F(10)=4(10)-8
=32
Here you go