20 points available. i have been trying at this problem for an hour. triangle pqr is a 30-60-90 triangle with right angle q and segment pq as the longer leg. find the possible coordinates of r if p(1,6) and q(1,-3).

R=(6,-3) 60*

Q= (1,-3) 90*

P=(1,6) 30*

Step-by-step explanation:

(X, Y)

P above Q by 9

Q right angle (1,-3)

R has to be 6 to the right for 60* if it was 9 to the right it would be 30*

So the answer is (6,-3)

x + 4/7

step-by-step explanation:

use cymath

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm