Total circumference = pi d = 16 pi
this is a fraction of total 40/360 * 16pi = 16/9 pi =~ 5.59 METERS ( you only get 1/2 credit if you leave units off!)
10 x 6 + 4 (1/2 * 2 *5 ) = 80 units2
You'll have to find the depth of the object
frot face area = 7 x 8.2 - 4.2 x 2 = 49 m2
49 m^2 * depth = 490 m3 10. m = depth
NOW, surface area = 49 *2 + 7*10 + 4*10 + 2*10 + 4.2 *10 + 5*10 + 8.2 * 10 = .......... m2
Long division
x^2 -6x +8
x+5 | x^3 -x^2 + kx + 40
x^3 + 5x^2
- 6x^2 + kx + 40
-6x^2 -30x
(k+30)x + 40 k+ 30 must = 8 for this to have no remainder so k = -22
8x +40
(x+5)(x^2 -6x+8)
(x+5)(x-4)(x-2) is factored
.10 x = amount of gloss in 10%
.35 (6-x) = amount of gloss in 35%
.10x + .35 (6-x) = .30(6) solve for 'x' the gals of 10% then 35% = 6-x
What do YOU think the answers are ?
7/4 pi is almost a full circle (2 pi) this angle is in Q IV
- pi/4 would be coterminal
reference pi/4
tan = sin / cos sin is negative in Q IV sin = - sqrt 2/ 2 cos = sqrt 2 /2 take it from here....
25 % discount means you pay 75 % of original
x (.75) now take a 10 % discount ...you pay 90%
x (.75)(.90) now take 5% off ...you pay 95%
x(.75)(.90)(.95) now ADD 8% tax
x (.75)(.90)(.95)(1.08) = $1385.10
x = $ 2000 original price
angle = 1/2 ( AB- DC)
78= 1/2 ( 108-DC)
DC = 48o
38 = 1/2 (y-x)
76 = y-x and y and x sum to 360 so x = 142 y = 218