Answer:
(2/5)√5
Step-by-step explanation:
from the sine rule (see attached for reference), we can construct the following relationship
12/sinθ = (6√5) / sin 90°
recall that sin 90° = 1, hence our equation becomes:
12/sinθ = (6√5) / 1
12/sinθ = (6√5) (rearranging)
12 ÷ (6√5) = sin θ
sin θ = 12 / (6√5)
sin θ = 2 / √5 (moving radical to numerator by multiplying by √5/√5)
= 2 / √5 x √5/√5
= 2√5 / 5
= (2/5)√5
2
bc
(2, 3)
Since the problem says to add 5 to x, and subtract from y, you can do x = -3 + 5 and y = 4 - 1 to get (2, 3)
<u>Given:</u>
<u>Equations:</u>
<u>Simplify the second equation by dividing all terms by 8:</u>
<u>Substitute t and solve for c:</u>
<u>Find the value of t:</u>
<u>Answer:</u>
a) c = (5/100)*d
b) c = 0.05*d
c) The ratio between what Lee recieves and what he sold.
d) d = 2000
Since Lee earns 5% in commission for each sale then:
c) In this context the constant of proportionality means the ratio of the value Lee sold that he'll earn as a comission.
d) Since he wants to earn $100, then c = 100 and we solve for d
c = 0.05*d
100 = 0.05*d
0.05*d = 100
d = 100/0.05 = $2000
He needs to sell $2000.
Actually Welcome to the Concept of the Inequalities.
so we get as,
(w+6)/2 < 5
w+6 < 10
=> w < 10-6
=> w < 4
so the answer is,
w < 4