Original circle: Center -5, 0 radius sqrt(100)=10
New circle
Center 1, -2 radius = 9
A C E
Sin x = cos (19)
sin x = .9455
arcsin (sin x) = x = arcsin (.9455) = 71 degrees
Tan 72 = opp/adj = 12/adj (adj is the shorter side)
12/tan 72 = adj = 3.899 in
Perimeter = 2 L + 2 W = 2(12) + 2(3.899) = ~32 inches
sinx = opp/hyp = 66/79 = .8354
sin x = .8394
arcsin (sin x) = x = arcsin (.8354) = 56.7 degrees
1/3
1/3 Bh
The formula is Interest = #years * Rate * Deposit
1500 = .12 * 5 * Deposit
1500/(.12*5) = Deposit =
$2500.00
Via dimensional analysis solution:
15 m/hr x 1/60 hr/min x 5280 ft/m = 1320 ft/min (as Tertre found)
Sum of interior angles of a polygon (n-2)180
THIS polygon sum = 160 + (n-1)112 set these two equations =
(n-2)180 = 160 + (n-1)112 and solve for n = 6
The ENTIRE square is 30 x 30 = 900 units^2
Now subtract the TWO unshaded triangles
Area of EACH = 1/2 bh there are TWO , so their combined area = bh
900 - (20 x 20) = 500 units^2
Sin 30 = opp/hyp = 14/x
x=14/.5 = 28
