Answer:
33
Step-by-step explanation:
let the shorter piece be x m
then the longer piece is 41-x
"The short piece is 25 meters shorter then the long piece"
or
the difference between the longer and the shorter is 19
--->
(41-x) - x = 25
41-x-x = 25
-2x = 25-41
-2x = -16
divide both sides by -2
x = 8
I defined x to be the short piece ---- 8
I defined 41-x to be the longer --- 41-8 = 33
Our aim is to calculate the Radius so that to use the formula related to the area of a segment of a circle, that is: Aire of segment = Ф.R²/2
Let o be the center of the circle, AB the chord of 8 in subtending the arc f120°
Let OH be the altitude of triangle AOB. We know that a chord perpendicular to a radius bisects the chord in the middle. Hence AH = HB = 4 in
The triangle HOB is a semi equilateral triangle, so OH (facing 30°)=1/2 R. Now Pythagoras: OB² = OH² + 4²==> R² = (R/2)² + 16
R² = R²/4 +16. Solve for R ==> R =8/√3
OB² = OH² +
27 :
complementary angle : 63
supplementary : 153
105 :
complementary : none cuz complementary angles add to 90
supplementary : 75
18 :
complementary - 72
supplementary - 162
complementary angles add up to 90 degrees and supplementary angles add up to 180
