Answer:
<h2>
√34sin(x + 0.33π)</h2>
Step-by-step explanation:
The general form of the equation acosx + bsinx = Rsin(x + e) where R is the resultant of the constants 'a' and 'b' and e is the angle between them.
R = √a²+b²
Given the function f(x) = 3 cos x + 5 sin x, comparing with the general equation;
a = 3, b = 5
R = √3²+5²
R = √9+25
R =√34
in radians;
3 cos x + 5 sin x = √34sin(x + 0.33π)
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Answer:
y=2x+1
Step-by-step explanation:
Parallel = gradients are the same
Example: y=2/4x+5
Perpendicular = gradients are the inverse of each other
Example: y= -4/2x+1
Any equation would be correct unless the gradient is 2/4 or -4/2
Answer:
2.56
Step-by-step explanation:
The equation they dive u: d = 16t^2, so in the question they said what's the distance, d, if t = 0.4
So you just have to replace t with 0.4:
d = 16t^2
d = 16(0.4)^2
d = 16(0.16)
d = 2.56
Answer:
10
Step-by-step explanation:
In any polygon
exterior angle + interior angle = 180° , thus
exterior angle + 144 = 180 ( subtract 144 from both sides )
exterior angle = 36°
The sum of the exterior angles = 360°
Thus number of sides n is calculated as
n = 360 ÷ 36 = 10
