Given the radius, circumference can be solved by the equation, C = 2πr. The circumference of the circle above is C = 2π(8 in) = 16<span>π in. To solve for the length of the segment joining the arc is the circumference times the ratio of central angle and 360 degrees.
Length of the segment = (16</span>π in)(60/360) = 8/3 <span>π in
Thus, the length of the segment is approximately 8.36 in. </span>
Answer:
Step-by-step explanation:
base=42 m
height=h=?
base angle θ=60°
tan 60=h/42
h=42tan 60=42√3≈72.75 m
height of taller building=135+42√3 m≈135+72.75≈207.75 m≈208 m
Oh how I miss the days when math was as simple as 2+2=4.
Educated guess here: By putting parentheses.
You need two pieces and 1 has to be 2x longer than the other
set x as the smaller piece (easier to always go with the smaller value as x)
the other piece is 2x (double in size)
your equations would be 3x=240>>> x= 60
so smaller piece/ x= 60
bigger piece/ 2x= 120
