From omi's calcs
It looks like the floor function will result in an answer of. -1. 0. Or. 1
three
Sin a = 2 sin(90-a)
sina= 2cosa
sina/cosa = tana = 2
arctan(2)= 63.43o=a. b= 90-a==26.56o
In 24 s. Tasha completes. 24/56 lap= .428. Lap. Daniella completes 1- .428 lap in that 24 s
24/ (1-.428) = 42 s per lap
Net 1200 - 800= 400 East. And
900-700= 200 feet north
sqrt(400^2 + 200^2) = ......... ft from start point
The slope of the line is (y1-y2)/ (x1-x2) = (0-4)/(9--3) = -4/12 = -1/3
The slope between a,1 and either of the other two poins must equal - 1/3
(0-1)/(9-a) = - 1/3
-1/(9-a) = -1/3
-1/(-1/3) = 9-a
3 = 9-a a = 6
H red H blue H green H black H yellow H pink
T red T blue ..............etc..........................................T pink
Use Quadratic Formula
\(x = {-b \pm \sqrt{b^2-4ac} \over 2a}\) a = 1 b = 6 c = 25 Plug and chug....
Drop a plumbline from the upper left corner tot the '8' line ....this creates a right triangle with one leg = 3 one leg = missing side length and hypotenuse = 7
The use Pythagorean theorem to solve for the missing leg length.....
Area of whole circle = pi r^2 this is 1/4 of this 1/4 pi r^2
Whole circumference = pi d this is 1/4 of this 1/4 pi d = 2 pi
d = 8 so r = 4
Area = 1/4 pi r^2 = 1/4 pi (4^2) =..........
First tank volume = pi r^2 h = pi 4^2 10 = 160 pi
=
pi 4^2 h + pi 6^2 h = 160 pi h is the same
(pi 16 + pi 36) h= 160 pi
h = 160 pi / 52pi = 3.07 m