Answer:
x=0 or f square root of 3f/9 or -f square root of 3f/9
Step-by-step explanation:
the steps are very long but I'm pretty sure it's correct
Hello!
The recursive rule for an arithmetic sequence:
.
The explicit rule for an arithmetic sequence:
.
is the value you are trying to find, or simply the answer. :)
is the common difference of the sequence.
is the first term of the sequence.
Given,
and
...
The common difference is -6, and the first term is 8.
Plug these values into the explicit rule for an arithmetic sequence, you get:
.
Therefore, the answer is A,
.
If you wondered why,
is equal to
, the Commutative Property of Multiplication states that when two numbers are multiplied together, the answer is the same regardless of the order of the numbers, which makes
and
equal to each other.
It takes 2/6 (two sixths) to make 1/3.
Step-by-step explanation:
We apply the pythagorean theorem on ABC.
AC^2=11^2+60^2 = 3600 + 121 = 3721
AC=61
Which means that sin(BAC) = 60/61.
However, sin^2(BAC) + cos^2(BAC)=1.
3600/3721 + cos^2(BAC) = 3721/3721.
cos^2(BAC) = 121/3721.
BAC is an acute angle so the cos is a positve number.
cos(BAC) = 11/61.
Lastly, x/60 = cos(BAC), so x= 660/61