It is "(C) 225pi cm3"
I am 100% sure this is correct.
Answer
(x-1) (x-4)
Step-by-step explanation:
I did this not long ago in class so that's the answer
Answer:
$22.33
Step-by-step explanation:
A 20% tip would be 0.20. Multiply the cost by 0.20 to get the tip amount or multiply the cost by 1.20 to get the total amount including tip.
subtotal --> $18.61
tip --> $3.72
18.61 x 0.20 = 3.72
total --> $22.33
tan(40) = (y + 1.5) / (x + 20)
y + 1.5 = (x + 20)[tan(40)]
y = (x + 20)[tan(40)] - 1.5
tan(60) = (y + 1.5) / x
y + 1.5 = (x)[tan(60)]
y = (x)[tan(60)] - 1.5
(x)[tan(60)] - 1.5 = (x + 20)[tan(40)] - 1.5
(x)[tan(60)] = (x + 20)[tan(40)]
(x)[tan(60)] = (x)[tan(40)] + (20)[tan(40)]
(x)[tan(60)] - (x)[tan(40)] = (20)[tan(40)]
(x)[tan(60) - tan(40)] = (20)[tan(40)]
x = [(20)(tan(40))] / [tan(60) - tan(40)]
x = 18.8 meters
Imagine the unit circle. The cot(theta) is a line from (0,1) to (-4,1). Imagine it is part of a triangle with the origin (draw it!).
Then the hypotenuse length is √(1+4²) = √17.
The sine rule says that sin(90)/√17 must equal sin(theta)/4, and sin(90)=1, so
