Answer:
Area = 587877.54 ![m^{2}](https://tex.z-dn.net/?f=m%5E%7B2%7D)
Step-by-step explanation:
Let the length of sides of the triangle be represented by a, b and c respectively.
a =
x 3600
= 1000
b =
x 3600
= 1200
c =
x 3600
= 1400
The length of the sides of the triangle are: 1000 m , 1200 m, 1400 m.
Perimeter = a + b + c
= 1000 + 1200 + 1400
= 3600
The area of the land can be determined by;
Area of a triangle = ![\sqrt{(s*(s-a)* (s-b)* (s-c))}](https://tex.z-dn.net/?f=%5Csqrt%7B%28s%2A%28s-a%29%2A%20%28s-b%29%2A%20%28s-c%29%29%7D)
where: s is the semi-perimeter of the triangle and a, b and c are the length of sides respectively.
s = ![\frac{perimeter}{2}](https://tex.z-dn.net/?f=%5Cfrac%7Bperimeter%7D%7B2%7D)
= ![\frac{3600}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3600%7D%7B2%7D)
s = 1800
Area = ![\sqrt{(1800(1800 - 1000)*(1800 - 1200)*(1800 - 1400))}](https://tex.z-dn.net/?f=%5Csqrt%7B%281800%281800%20-%201000%29%2A%281800%20-%201200%29%2A%281800%20-%201400%29%29%7D)
= ![\sqrt{(1800*800*600*400)}](https://tex.z-dn.net/?f=%5Csqrt%7B%281800%2A800%2A600%2A400%29%7D)
= ![\sqrt{345600000000}](https://tex.z-dn.net/?f=%5Csqrt%7B345600000000%7D)
= 587877.54
Area = 587877.54 ![m^{2}](https://tex.z-dn.net/?f=m%5E%7B2%7D)
The area of the triangle is 587877.54
.
Answer:
Were they both 45? I'm kinda confused on that part, but I think Ralph would be 48 and Bob would be 50
Step-by-step explanation:
I'm assuming it's 57. Because 1/2 can equal .5 and 56.5+.5=57
Answer:
Part A: Up 9
Part B: Up 6
Step-by-step explanation:
Part A: The graph appears to be a cosine graph since it starts at a peak on the y-axis. Normally a cosine graph starts at (0,1). This graph begins at (0,10). It has been shifted up y a translation by 9.
Part B: Each trig equation has a basic structure f(x) = a sin (x+b) + k where:
- a is the vertical stretch
- b is the horizontal shift
- k is the vertical shift
A vertical translation is a vertical shift and is represented by the value in k added outside of the function. In the equation f(x) = 2sin(θ + 120°) + 6, k = 6. The vertical translation is 6.