Find the missing value to the nearest hundredth.

sin = 7/12 (1 point)
35.69°
30.26°
80.16°
54.31°

(A)

Step-by-step explanation:

Given: sin ___ = 7/12

To find: The missing angle of sine.

Solution: Let the missing angle be A, then the given equation can be written as:

Taking sin inverse on both sides, get

Therefore, value of the missing angle is , thus option A is correct.

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629

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.