Use the Law of Cosines to write an expression equivalent to a.

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  a = √(b² +c² -2bc·cos(A))

  a = √(c² -b²)

Step-by-step explanation:

For sides a, b, c, and opposite angles A, B, C, the general form of the law of cosines is ...

  a² = b² + c² -2bc·cos(A)

An expression for 'a' can be written by taking the square root.

  a = √(b² +c² -2bc·cos(A))

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If you recognize that cos(A) = b/c, then a substitution can be made:

  a = √(b² +c² -2(bc)(b/c)) = √(b² +c² -2b²)

  a = √(c² -b²) . . . . . . . same as the Pythagorean theorem

$655.61 which is option c

step-by-step explanation:

price of house =   $146,000

initial rate = 3.5%

mortgaged paid in this = 3.5 % of $146,000

                                        =

                                        =$5110

the total years would be = 7

total mortgaged paid = 7 * $5110

                                      =$35770

remaining money = $146000-35770

                                =$110230

new mortgaged payment = 5 % of 110230

                                            =  

                                            =$655.61