Let
x,y, and z the long sides of the triangle
we know that
x+y+z=170 ft------> equation 1
x/y=25/14----> y=14x/25------> equation 2
y/z=14/12-----> equation 3
x/z=25/12----> z=12x/25------> equation 4
substitute equation 2 and equation 4 in equation 1
x+[14x/25]+[12x/25]=170------> multiply by 25 both sides
25x+14x+12x=4250
51x=4250
x=4250/51
x=250/3
y=14x/25------> y=(250/3)*(14/25)----> y=140/3
z=12y/14-----> (140/3)*12/14----> z=40
Using Heron's formula,
Area of the triangle = √s (s-a) (s-b) (s-c)
where s is the semiperimeter
s=170/2-----> s=85 ft
Area=√85*[85-250/3]*[85-140/3]*[85-40]
Area=9.22*[1.67]*[38.33]*[45]------> Area=26558.21 ft²
the answer is
26558.21 ft²
2.9x10 to the third power is the scientific notation
Answer:
You can try searching it up or going to math.way
Step-by-step explanation:
Answer:
V = 183 mm^3
Step-by-step explanation:
The formula for the volume of a cone is V = (1/3)(base)(height).
In this case the base is a circle of radius 5 mm, meaning that its area is B = (3.14)(5 mm)^2, or 78.5 mm^2.
The height of the cone is 7 mm.
Thus, the volume of this cone is
V = (1/3)(base)(height), or
V = (1/3)(78.5 mm^2)(7 mm), which, to the nearest cubic mm is
V = 183 mm^3
