Solve the triangle. a =52° , b = 10, c=7

Step-by-step explanation:

Use the Law of Cosines:

a² = b² + c² - 2ab·cos A

Substituting the given values, we obtain:

a² = (10)² + (7)² - 2(10)(7)·cos 52°

    = 100 + 49 - 140·0.6157

     =      149 - 86.1926

     =    62.81

Taking the square root of both sides yields:

a = 7.925, or (to the nearest degree) 8

answer: - (a)

(b) 88 seats

step-by-step explanation:

given: in an auditorium, there are 22 seats in the first row and 28 seats in the second row.

thus first term=

second term=

the number of seats in a row continues to increase by 6 with each additional row.

⇒d= 6

a) given formula :

b)   let the number of seats (n) = 12

substitute n=12 in the explicit rule formed in (a)

∴there are 88 seats in 12 rows.