Find the area of the plot of land shown below.
1 answer:
9514 1404 393
Answer:
3070.06 square inches
Step-by-step explanation:
The area of the left triangle can be found using Heron's formula:
s = semiperimeter = (53+71+58)/2 = 91
area = √(s(s -53)(s -71)(s -58)) = √2282280 ≈ 1510.72
The area of the right triangle can be found using the trig formula ...
area = 1/2ab·sin(C)
area = 1/2(55)(71)sin(53°) ≈ 1559.34
Then the total area is ...
1510.72 +1559.34 = 3070.06 . . . . . square inches
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Answer:
a = -1
b = -9
c = 9
d = 3
e = 3
f = 2
g = 3/2
Step-by-step explanation:
* Lets explain how to solve the problem
∵ are rational fractions
- To add or subtract the rational fractions they must have same
denominator
∵ 6 - 2x must be written 2x - 6, take (-1) as a common factor from 6 - 2x
∴ - 1(-6 + 2x) = - 1(2x - 6)
∴
∴ a = -1
∵ 9 ÷ -1 = -9
∴ =
∴ b = -9
∵ The denominators of the two fractions are 2x - 6
∴ We can add them by adding their numerator
∵ 3x + -9 = 3x - 9
∴ =
∴ c = 9
∵ 3x - 9 has a common factor 3
∴ 3x - 9 = 3(x - 3)
∵ 2x - 6 has common factor 2
∴ 2x - 6 = 2(x - 3)
∴ =
∴ d = 3 , e = 3 , f = 2
- The fraction has same factor (x - 3) up and down then we can cancel
them together
∴ =
∴ g = 3/2