This follows directly from the double angle identity for cosine and the Pythagorean identity:

So we have

Answer:
Option A.
Step-by-step explanation:
The given question is incomplete. Here is the complete question.
P(n) models the price (in dollars) of a pack of n bulbs at a certain store.
When does the price of a pack increase faster ?
n 4 10 12
P(n) 12 25 28
When does the price of a pack increase faster ?
A. Between 4 and 10 bulbs
B. Between 10 and 12 bulbs
C. The price increases at the same rat over both the intervals.
To solve this question we will find the rate of increase in the prices per pack in the given intervals.
From n = 4 to n = 10
Rate of increase in price = 
= 
= 2.166 ≈ $2.17 per pack
From n = 10 to n = 12
Rate of increase in price = 
=
= $1.5 per pack
Therefore, price per pack increases faster between n = 4 and n = 10 as compared to n = 10 to n = 12.
Option A is the answer.
Answer:
113 
Step-by-step explanation:
top rectangle = l x w = 6 x 13 = 78
lower rectangle width = 13-8=5. so a = l x w. 7 5 = 35
78+35= 113
Answer:
50,000
Step-by-step explanation:
1st car had $1,750 tax
2nd car has $3,500 tax
1750(2) = 3500
so your tax doubled so the price must be doubled.
The car is $50,000
Algebraically using direct variation:
t = kp where t=tax, p = purchase price,
and k is constant of variation
1750 = 25000k
k = 1750/25000
k = 0.07
Your equation is: t = 0.07p
3500 = 0.07p
p = 3500/0.07
p = $50,000
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