Answer:
Step-by-step explanation:
c^2=a^2+b^2-2abcosC
cosC= (a^2+b^2-c^2)/(2ab)
C=arccos[(a^2+b^2-c^2)/(2ab)]
C=arccos(90^2+55^2-50^2)/(2(90)55)
C=arccos(8625)/(9900)
C=29.4 degrees
The second person ate the most and the amount of pie left over from the three pies is 5/6 pie
Answer:
19,27 cm^2
Step-by-step explanation:
area of triangle = (6 x 3)/ 2 = 9 cm^2
circle area : 3^2 x 3,14 = 28,27 cm^2
area of shaped region = 28,27 - 9 = 19,27 cm^2
Answer:
-3 =x
Step-by-step explanation:
6x+18 = 5(3x+9)
Distribute the 5
6x+18 = 15x+45
Subtract 6x from each side
6x+18-6x =15x-6x +45
18 = 9x+45
Subtract 45 from each side
18-45 =9x+45-45
-27 = 9x
Divide by 9
-27/9 = 9x/9
-3 =x
Bring the 3 to the other side, which makes 11-3 = 8
divide the whole equation by 2, which makes it Root (3x/5) = 8/2
square the whole equation which gives
, 3x/5 = 16
Multiply the equation by 5 which makes it, 3x = 80
finally divide the equation to find x, x= 80/3
