Firefighters dig a triangular trench around a forest to prevent the fire from spreading. two of the trenches are 800 m long and 650 m long. the angle between them is 30â°. determine the area that is enclosed by these trenches.

The area enclosed by the trenches is 130 000

Step-by-step explanation:

The two given sides of the trenches are 800m and 650m. Since the included angle of the two sides are given, then the area covered by the trenches can be calculated using the formula;

     Area of a triangle = × abSin C

where: a is the length of one side and b the length of the second side and C represents the value of the included angle.

Thus,

    a = 800m, b = 650m and C = 30°

So that,

Area enclosed by the trenches  = × abSin C

                                                          =   × 800 × 650 × Sin30°

                                                          = × 800 × 650 × 0.5

                                                          = 130 000

The area enclosed by the trenches  is 130 000.

to find the unit price, we must figure out the cost of one item (in this case one dish towel).   to do this, we divide the total price ($7.92) by the number of items bought (for this problem it is 8, because there are eight dish towels in one pack).  

$7.92/8 = $0.99

therefore, the unit price, or the price of one dish towel, is $0.99.

hope this !

answer: .64

step-by-step explanation

set up the formula for standard deviation for this set of numbers, then simplify