Answer: a) Yes, there is enough fance
b) 58.1° and 47.9°
c) The city will not approve, because 1/3 of the area is just 2220.5ft²
Step-by-step explanation:
a) using law of cosines: x is the side we do not know.
x² = 126² + 110² - 2.126.110.cos74°
x² = 20335.3
x = 142.6 ft
So 150 > 142.6, there is enough fance
b) using law of sine:
sin 74/ 142.6 = sinα/126 = sinβ/110
sin 74/ 142.6 = sinα/126
0.006741 = sinα/126
sinα = 0.849
α = sin⁻¹(0.849)
α = 58.1°
sin 74/ 142.6 = sinβ/110
sin 74/ 142.6 = sinβ/110
0.006741 = sinβ/110
sinβ = 0.741
β = sin⁻¹(0.741)
β = 47.9°
Checking: 74+58.1+47.9 = 180° ok
c) Using Heron A² = p(p-a)(p-b)(p-c)
p = a+b+c/2
p=126+110+142.6/2
p=189.3
A² = 189.3(189.3-126)(189.3-110)(189.3-142.6)
A = 6661.5 ft²
1/3 A = 2220.5
So 2300 > 2220.5. The area you want to build is bigger than the area available.
The city will not approve
Answrer
Find out the what is the perimeter of the rectangle .
To prove
Now as shown in the figure.
Name the coordinates as.
A(−3, 4) ,B (7, 2) , C(6, −3) , and D(−4, −1) .
In rectangle opposite sides are equal.
Thus
AB = DC
AD = BC
Formula

Now the points A(−3, 4) and B(7, 2)





Thus

Now the points
A (−3, 4) , D (−4, −1)




Thus
Formula
Perimeter of rectangle = 2 (Length + Breadth)
Here






Perimeter of a rectangle = 30.6 units.
Therefore the perimeter of a rectangle is 30.6 units.
Answer:
Step-by-step explanation:
f(- 1) = - 1 + 4 = 3
f(2) = 2 + 4 = 6
f(12) = 4(12) - 7 = 41
Answer:
i dont know
hope you find the answer though
Step-by-step explanation: