Solve the following triangles:
a = 21 degrees a = 10 b = 6
a = 48 degrees a = 32 b = 6

find the area and perimeter of the two trianlgles formed in question 1.

1.1) B=12.42°, C=146.58°, c=15.37  

1.2) B=8°, C=124°, c=35.7  

2.1) Perimeter = 31.37 units, Area = 16.5 square units  

2.2) Perimeter = 73.70 units, Area = 75.6 square units  

Step-by-step explanation:

2.1) Perimeter: P = a+b+c → P = 10+6+15.37 → P = 31.37  

Area: A = a b sinC / 2

Replacing the known values:

A = (10)(6) sin 146.58325418° / 2 → A = 60(0.55072472) / 2 →

A = 16.52174152 → A = 16.52 square units

2.2) Perimeter: P = a+b+c → P = 32+6+35.70 → P=73.70

Area: A = a b sin C /2

Replacing the known values:

A = (32)(6) sin 123.99036327° / 2 → A = 192(0.82913161) / 2 →

A = 75.59663485 → A = 75.6 square units

answer: city needs 2.4 inches of rainfall more to match the record of 40 inches.

step-by-step explanation:

since we have given that

total annual rainfall a city record = 40 inches

this year, total rainfall recorded = 37.6 inches

number of inches of rainfall   is needed to match the record of 40 inches is given by

hence, city needs 2.4 inches of rainfall more to match the record of 40 inches.

the answer is 31.27mph