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
You set (x+15) equal to 40 and solve for x.
x+15=40
-15 -15
x=25
Hope this helps!
Answer:
the 3rd one
Step-by-step explanation:
20+17=37
-1/2+(-5/2)= -3
so 37 + ( -3 ) = -3 + 37 have the same value which is 34
In this case, the vector is passing through a right angle as shown with the little square on the left side. (all right angles equal 90 degrees) so you would simply subtract 64 from 90. (90 - 64 = 26) so x equals 26 degrees.
Answer:
35°
Step-by-step explanation:
First you find the sine of x. That would be
sinx = opposite/hypotenuse
sinx = 57/100
sinx = 0.57
You can look it up if you want, but sin35 = 0.574
so the answer is 35°
