Hello! here are the basic rules that you need to know to solve these problems:
a diameter is 2 × the radius
the circumference rule is 2×π×radius
I will solve the first question to show how to format.
1: 5/2=2.5
2×2.5×π=5×π=15.7
So here we use the pythagorean theorem which is a2 + b2 = c2 (“a” squared times “b” squared equals “c” squared) the length from calvins house to the intersection is “a” and the length from phoebes house to the intersection is “b” so in order to find out the length of “c” (calvins house to phoebes house) we need to use the pythagorean theorem
a2 275x275=75,625
b2 113x113 = 12,769
so now that we have figured out what a2 and b2 are let’s add them
75,625 + 12,769 = 88,394
now since we only need to find out the length and not the area we need to find the square root of 88,394
the square root of 88,394 is 297.311 (i cut off the decimal after three places)
the direct length from phoebes house to calvins is 297.311 meters
Consecutive terms in an arithmetic sequence differ by a constant
. So
Denote the
-th term in the sequence by
. Now that
, we have
which means
Answer: $179.69
Step-by-step explanation:
James deposit 2 checks for $44.89 and one check for $134.80 into his account so that means that he will have $179.69 in his account now.
hope this helps
