Answer:
Step-by-step explanation:
cos (x/2)=cos x+1
cos (x/2)=2cos ²(x/2)
2 cos²(x/2)-cos (x/2)=0
cos (x/2)[2 cos (x/2)-1]=0
cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)
x/2=2nπ+π/2,2nπ+3π/2
x=4nπ+π,4nπ+3π
n=0,1,2,...
x=π,3π
or x=180°,540°,...
180°∈[0,360]
so x=180°
or
2cos(x/2)-1=0
cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)
x/2=360n+60,360n+300
x=720n+120,720n+300
n=0,1,2,...
x=120,300,840,1020,...
only 120° and 300° ∈[0,360°]
Hence x=120°,180°,300°
Answer:
The answer is "Pattern B showed number 40; each pattern is also increased as per the rule".
Step-by-step explanation:
In every sequence pattern, it recalls that rule, it adds 15 in this need to build from the specified initial estimate each sequence.
In Pattern A.
5+20+35+50+......
In Pattern B.
10+25+40+55+70+.....
In Pattern C.
15+30+45+60....
In this, pattern option B is correct because it will give 40.
Answer: See explanation
Step-by-step explanation:
Your question isn't well written but I saw an identical question:
A bookshelf is 42 inches long. Each book is 1 1/4 inches wide. How many books will fit on the shelf?
For us to solve this, we would divide the length of the bookshelf by the width of each book. This would be:
= 42 ÷ 1 1/4
= 42 ÷ 5/4
= 42 × 4/5
= 33 3/5
Therefore, the number of books that will fit on the shelf is 33.
Answer:
7/6 or 1*1/6
Step-by-step explanation:
You Just want to get Fahrenheit alone on one side of the equal sign. Your teacher forgot to use parenthesis. The correct equation for Celsius to Fahrenheit is: 
Which will give you a completely different answer.... 
****
We will solve it using what is given:
C = (5/9)F - 32
C + 32 = (5/9)F
9(C + 32) = 5F
(9/5)(C + 32) = F
** If they mark you wrong, and try to say the answer is F = (9/5)C + 32 then they shouldn't be teaching math, and you should point out the fact there are no parenthesis around the F - 32 in the given formula.
