The figure is composed of 2 shapes. A rectangle and a right triangle.
Area of the Rectangle = 600 ft * 200 ft = 120,000 ft²
Area of the right triangle = (600 ft * 450 ft)/2 = 270,000 / 2 = 135,000 ft²
Total area = 120,000 ft² + 135,000 ft² = 260,000 ft²
Area of the house = 45 ft * 38 ft = 1,710 ft²
Area of the woods = 118 ft * 60 ft = 7,080 ft²
Area of the front yard = 78 ft * 40 ft = 3,120 ft²
Area of farmed land = 260,000 - 1,710 - 7,080 - 3,120 = 248,090 ft²
248,090 ft² * 1acre/43,560 ft² = 5.695 acres
Answer:
degrees
Step-by-step explanation:
Sum of 3 angles in a triangle is 180..
The angles given are:
60
7x + 12
1
So we sum to 180 and write:

Also, straight angle is 180 degrees, thus Angle 1 and (14x + 9) angle is sum to 180, thus we can write:

Or we can write this as:

We substitute this expression for Angle 1 into 1st equation we got and solve for x first,

Since x = 9, the angle "14x + 9" would be:
14(9) + 9 = 135
Hence Angle 1 would be:

Answer:
81π
Step-by-step explanation:
-The sum of central angles in a circle add up to 360°.
-Let x be the area of the circle.
-Given the area of a 120° is 27π, the circles area can be calculated as:

Hence, the area of the circle is 81π
Answer:
x³ - 3 x² - 13 x + 15 = 0
Step-by-step explanation:
Basically you can create three factors like this:
(x+3)(x-1)(x-5)=0
That will each represent one zero.
Work it out and you get x³ - 3 x² - 13 x + 15 = 0
area = pi times radius squared
area = pi times 5 squared
area = pi times 25
area = 78.54
answer : 78.54 square feet