The only one it could be is SAS because that is what SUR and TVR give.
Answer:
Prob.3
Denote r: radius of circle O
Formula for calculating AOB sector:
Area = pi*r^2*angle/360
Area = pi*r^2*45/360 = 18 pi
=> r^2 = 18*360/45 = 144
=> r = 12
For prob.4, give it a try, follow the formula I gave. Good luck !
(answer : r = 6)
speed of plane flying east = x
speed of plane flying west = x+75
total speed = 2x+75
distance after 4 hours ( 7-3) = 8x+300
8x+300 = 5460
8x = 5160
x = 5160/8 = 645
speed of plane flying east = 645 km/h
6 days a week......15 necklaces per day....18 per necklace
6 * 15 * 18 = 1620 for a 6 day workweek
6 days a week.....x necklaces per day.....10 per necklace.....makes 1620
10x = 1620
x = 1620/10
x = 162....162 necklaces for a 6 day work week
162/6 = 27....she should make 27 per day......so she should increase by (27 - 15) = 12 per day
C.P. = $95000
S.P. = $280000
a. Profit
= S.P. - C.P.
= $280000 - $95000
= $185000
b. Let the profit% of C.P. be x.
(x/100) × $95000 = $185000
=> x/100 = $185000/$95000
=> x/100 = 37/19
=> x = (37/19) × 100
=> x = 3700/19
=> x = 194 14/19
So, profit percent of buying price is 194 14/19%.
c. Let the profit% of S.P. be x.
(x/100) × $280000 = $185000
=> x/100 = $185000/$280000
=> x/100 = 37/56
=> x = (37/56) × 100
=> x = 3700/56
=> x = 925/14
=> x = 16 1/14
So, profit percent of selling price is 16 1/14%.
d. Buying price percentage profit sounds better as far as Ella is concerned.