This is a fraction of a 2 pi circle
2/3pi / 2pi fraction
the total circumference is 2 pi r
multiply by the fraction of the total ...and this = 17 pi
2/3 pi / 2pi * 2 pi r = 17pi
2/3 r = 17
r = 25.5 units
Isoc triangle so two of the sides are equal either
3x+62 = 5x+60 then x = 1
or
3x+62= 7x + 30 then x = 8
7x+30 = 5x + 60 then x = 15 the value of 'x' which will produce the smallest perimeter is x = 1 You can finish......
Remember tan = sin / cos secant = 1 / cos
Both are undefined for values that make the denominator = o Sooooo-o-o what do you think?
Try this pick a number say...20
sin 20 = ? then try sin (-20)= ? what do you find ?
3x = 100
x = 100/3 or 33 1/3
x = 5 dollar notes (60 -x ) = 10 dollar notes
then
x - 1/4 x = (60-x) -4 Solve for x
3/4x = 56-x
1 3/4x = 60
x = 5 dollar notes = 34 the reaminder are 10 dollar notes 26
value : 5 * 34 + 26 * 10 = ______________ dollars initially
t = h initially
t - 1/2 t = h- 3/4 h + 16 sub in t = h
h - 1/2 h = 1/4 h + 16
1/2h - 1/4 h = 16
1/4 h = 16
h = 64 each had 64 originally 128 total
x = starter money
(x -33 ) 2/5 = amount after his spree
this equals 1/4 x
(x-33)(2/5) = 1/4 x
2/5 x - 66/5 = 1/4 x
8/20 x - 5/20 x = 66/5
x = 66/5 * 20/3 = 88 dollars originally 1/4 of which = 22 dollars left
Rectangle volume = l x w x h = 8 x 4 x 16 = 512 ft3
Cube is same volume s x s x s = 512 s = 8 ft
Remember tangent of right triangle = opposite side/adjacent side ?
Tan 34 = top / 750 750 tan 34 = top similarly for the bottom....subtract the two
750 tan34 - 750 tan 31 = height
