In ΔGHI, g = 3.4 cm, i = 8.2 cm and ∠I=29°. Find all possible values of ∠G, to the nearest 10th of a degree.

11.6°

Step-by-step explanation:

In ΔGHI, g = 3.4 cm, i = 8.2 cm and ∠I=29°. Find all possible values of ∠G, to the nearest 10th of a degree.

We solve the above question using Law of Sines

= g/sin G = I / sin I

Substituting

= 3.4/ sin G= 8.2/ sin 29

Cross Multiply

3.4 × sin 29 = sin G × 8.2

sin G = 3.4 × sin 29/ 8.2

G = arc sin[3.4 × sin 29/ 8.2]

G = arcsin [0.2]

G = 11.59653°

Approximately = 11.6°

∠G = 11.6°

answer: the answer is one of

step-by-step explanation:   we are given to write a proper fraction where the whole is divided into an even number of equal parts less than ten, and an odd number of those parts exist.

an even number less than 10 may be one of 2, 4, 6 or 8. so, the whole may be one of these four evens.

now, an odd number of these parts must exist, so the numerator must be an odd number, one of 1, 3, 5 or 7. it cannot be 9 because then the fraction will become improper.

thus, our fraction may be one of the following