If m is 21 inches, j is 28 inches, and ∠K measures 90°, then find k using the Law of Cosines. Round your answer to the nearest tenth.

35 in

49 in

1,225 in

2,401 in

The answer to your question is k = 35 in

Step-by-step explanation:

Data

m = 21 in

j = 28 in

∠k = 90°

Process

1.- Use the law of cosines to find k

                k² = m² + j² - 2 j m cos K

2.- Substitution

                k² = (21)² + (28)² - 2(21)(28) cos 90

3.- Simplification

                 k² = 441 + 784 - 1176 (0)

                 k² = 1225

                 k = 35 in

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.