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Mathematics 11 Online
OpenStudy (anonymous):

there is a picture attached. please show all the work

OpenStudy (anonymous):

OpenStudy (amistre64):

we discovered earlier with this that the ratios are: 4/25 that leaves the rest of it to be: 1-4/25 = 21/25 the probability that it lands in the bottom is then: 21/25

OpenStudy (anonymous):

i dont get it?

OpenStudy (amistre64):

the area of the shade is: radius of 4; 4^2 pi = 16pi all togheter; 16pi(3)/4 = 12pi for part of the cirlce the trianlge tha tis left shaded is a 45 degree and is just 4*4/2 = 8 8+12pi should be the total shaded area

OpenStudy (anonymous):

ohh

OpenStudy (anonymous):

got that one

OpenStudy (anonymous):

ihave # 23, 24, 25, and 27 left

OpenStudy (amistre64):

the radius of the circle .. hmm 6 = sqrt(3)*6/sqrt(3); so the radius = 6/sqrt(3); or prettier to look at..... 6sqrt(3)/3 = 2sqrt(3) the area of the circle then is (2sqrt(3))^2 pi = 12pi the area of the triangle in total is: 12^2 sqrt(3)/4, or simply 36sqrt(3) total area of tri - area of circle is: 36sqrt(3) - 12pi

OpenStudy (anonymous):

ihave # 23, 24, 25, and 27 left

OpenStudy (anonymous):

is this #27?

OpenStudy (amistre64):

#23 is: 6 sin(t) b/5 ---------- 15sin(t) b/2 6/5 2/5 ---- = ----- = 4/25 15/2 5/2 #24 is: NOT the ratio of the triangle :) 1 - 4/25 = 21/25 as its ratio

OpenStudy (anonymous):

ihave # 23, 24, 25, and 27 left

OpenStudy (anonymous):

whats sin(t) stand for....

OpenStudy (amistre64):

the probability that something will fall into the bottom quad there is 21/25

OpenStudy (amistre64):

sin(t) stands for the height of the triangles .... since we dont know what "t" is we just make it generic and it goes away in the process

OpenStudy (anonymous):

oh

OpenStudy (anonymous):

so whats the answer for 23?

OpenStudy (anonymous):

amistre64?

OpenStudy (anonymous):

i only need help for 23, 24, and 25 now!!

OpenStudy (anonymous):

I had given solution for this earlier based on similar triangles... seems u hv deleted that n posed the question again...

OpenStudy (anonymous):

oh i didnt realize that

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