Student B is wrong , student A is correct in simplifying the expression .
Expression B must be simplified to cot θ .
Formulas to be used are :
1 - 
θ = 
θ
1 - 
θ = 
θ .
Since , location of error is step 3 , we will start from there
[ ( 1 - θ ) / sin θ ] / cos θ = [ ( 1 - θ ) / sin θ ] * [ 1 / cos θ ]
= ( 1 - θ ) / ( sin θ * cos θ )
= θ / ( sin θ * cos θ )
= cot θ .
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Since , the question is incomplete we assume it to be :
Answer:
34489
Step-by-step explanation:
Answer:
4
Step-by-step explanation:
12/2=6
6*2=4
Hope this helps!
Answer:
Airspeed in still air: 140 mph
Step-by-step explanation:
Let s represent the speed in still air. Recognize that the distance traveled is the same in either direction.
Also note that SF is north of LA.
Distance to SF from LA = Distance to LA from SF
(s-20)(mph)(4 hr) = (s+20)(mph)(3 hr)
Then:
4s - 80 = 3s + 60 => s = 60 + 80 + 140 (mph)
The airspeed of the plane was 140 mph in still air. With a tail wind, the plane is faster; with a headwind, slower.
Answer: in five years time, the sales would be $100367
Step-by-step explanation:
We would apply the formula for determining compound interest which is expressed as
A = P(1+r/n)^nt
Where
A = total sales at the end of t years
r represents the growth rate.
n represents the periodic interval at which it was compounded.
P represents the current sales.
t represents the time in years
From the information given,
P = 75000
r = 6% = 6/100 = 0.06
n = 11 because it was compounded once in a year.
t = 5 years
Therefore,
A = 75000(1+0.06/1)^1 × 5
A = 75000(1+0.06)^5
A = 75000(1.06)^5
A = $100367
