A room in the shape of a triangle has sides of length 184 ya

A room in the shape of a triangle has sides of length 18.4 yards, 16.4 yards, and 19.1 yards. If carpeting costs $23 82 per square yard, padding costs $1.90 per square yard, and there is no charge for installation, how much, to the nearest dollar, will it cost to carpet the room? $3553 $684 $138 $5764 A stained glass window is composed of 20 triangular sections, each with sides 5, 9, and 8 in. Find the total area of the window (to the nearest square inch). 898 in.^2 5172 in.^2 120 in.^2 20 in.^2 Two tracking stations are on the equator 126 miles apart A weather balloon is located on a bearing of N 34 degree E from the western station and a bearing of N 15 degree E from the eastern station How far, to the nearest mile, is the balloon from the western station? Round to the nearest mile 374 mi 283 mi 292 mi 383 mi Write csc x in terms of cos x. plusminus squareroot 1 - cos^2 x/cos x plusminus squareroot 1 - cos^2 x/1 - cos^2 x plusminus cos x squarerrot 1 - cos^2 x/1 - cos^2 x plusminus squareroot 1- cos^2 x Find the area of triangle ABC with the given parts, Round to the nearest tenth when necessary. b = 10.3 ft A= 30 degree 40\' C= 101 degree 50\' 35.9 ft^2 76.8 ft^2 30.9 ft^2 71.8 ft^2

Solution

3)let sides of triangle be a=18.4yd,b=16.4yd,c=19.1ys

s=(a+b+c)_/2

s=(18.4+16.4+19.1)_/2

s=26.95

area of triangle A=[s(s-a)(s-b)(s-c)]

A=[26.95(26.95-18.4)(26.95-16.4)(26.95-19.1)]

A=138.1413 square yards

given carpeting costs 23.82 dollars per suare yard , padding costs 1.90dollars per square yard

cost to carpet the room =(23.82+1.90)*138.1413

cost to carpet the room =(25.72)*138.1413

cost to carpet the room =3552.994236

cost to carpet the room =3553 dollars