Answer:
23π/12 radians
Step-by-step explanation:
To convert degrees to radians, we multiply by π/180 (because π radians = 180 degrees).
345 * π/180 = 345π/180 = <u>23π/12 radians</u>
When they ask us to express it "exactly," that means to not simplify the π to 3.14 or something. When we leave the π in our answer, it is the most accurate possible.
Answer:
x = 55.8
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hypotenuse
cos x = 9/16
Taking the inverse cos of each side
cos^-1 (cos x) = cos^-1 (9/16)
x=55.77113
To the nearest tenth
x = 55.8
They are almost the same! However, 2 miles is a bit more (2 feet more). 2 miles is 10,560 feet.
Answer:
d = (a[n2] -a[n1])/(n2 -n1)
a1 = a[n1] -d(n1 -1)
Step-by-step explanation:
The generic term is ...
an = a1 +d(n -1)
Fill in the values associated with the two terms and solve the simultaneous equations.
For terms n1 and n2, their difference will be ...
a[n2] -a[n1] = (a1 +d(n2 -1)) -(a1 +d(n1 -1)) = d(n2 -n1)
Dividing by the coefficient of d tells you ...
d = (a[n2] -a[n1])/(n2 -n1)
Once you have the value of d, you can find the first term.
a[n1] = a1 +d(n1 -1)
a1 = a[n1] -d(n1 -1)
_____
<u>Example</u>:
3rd term = 12
7th term = 20
d = (20 -12)/(7 -3) = 8/4 = 2
a1 = a3 -d(3 -1) = 12 -2(2) = 8
The n-th term is ...
an = a1 +d(n -1)
an = 8 +2(n -1)