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An arithmetic sequence starts with one number and you add the common difference to the previous term to get the current term
So...
f(x)=mx+b
m=common difference
b=starting point
f(11)=125=11m+b
-
f(1)=5=1m+b
--------
120=10m
Divide both sides by 10
12=m
Your common difference is 12.
Answer:
14.5 =x
Step-by-step explanation:
Since this is a right triangle we can use trig functions
sin theta = opposite side/ hypotenuse
sin A = BC / AB
sin 65 = x /16
Multiply each side by 16
16 sin 65 =x
14.50092459 =x
14.5 =x
Answer:
The length of the office is 36.4 ft
Step-by-step explanation:
The length of the classroom = 20 ft long
The length of the office = 20 ft + 82% of the classroom length
Now, 82 % of classroom length = 82 % of 20 ft
⇒ 
or, 82% of 20 ft = 16.4 ft
⇒The length of the office = 20 ft + 16.4 ft = 36.4 ft
Hence, the length of the office = 36.4 ft