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mckenzieandjesus
 one year ago
Point P is the center of two concentric circles. PQ = 10.5 and PS = 20.9. RS is tangent to the smaller circle and a chord of the larger circle. What is length of RS to the nearest tenth? 36.1
41.4
31.4
41.8
mckenzieandjesus
 one year ago
Point P is the center of two concentric circles. PQ = 10.5 and PS = 20.9. RS is tangent to the smaller circle and a chord of the larger circle. What is length of RS to the nearest tenth? 36.1 41.4 31.4 41.8

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mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0I think it is C

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.2well the tangent RS and the radius PQ are perpendicular to each other, so you need pythagoras \[PS^2 = QS^2 + PQ^2\] then you need to know the perpendicular from the centre to the chord bisects the chord so RQ = QS or RS = 2QS hope it helps

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.2and I don't think its C

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0i got 547 30/50

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0547 30/50^2 is 299274.6436

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.2well using pythagoras' theorem you need to find QS manipulating the equation \[QS^2 = PS^2  PQ^2\] so \[QS^2 = 20.9^2  10.5^2\] so start by finding QS then double it to get RS

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.020.9^210.5^2= 326 14/25

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0326 14/25^2 is 106641.4336

phi
 one year ago
Best ResponseYou've already chosen the best response.0you don't want to square 326.56 you want to (or should want to) take the *square root*

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0so 18.0709712

phi
 one year ago
Best ResponseYou've already chosen the best response.0and as campbell posted (see up above), that is 1/2 of the length you want.

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0so do i add 1/2?

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0or do 18.0709712^2?

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.2so that is QS now the perpendicular line from the centre, PQ, bisects RS. so RS = 2 x QS so you know QS, just double it... to find RS

phi
 one year ago
Best ResponseYou've already chosen the best response.0now round to the nearest tenth

campbell_st
 one year ago
Best ResponseYou've already chosen the best response.2that's correct... now round it to 1 decimal place

mckenzieandjesus
 one year ago
Best ResponseYou've already chosen the best response.0what message?
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