Answer:
52 ft
Step-by-step explanation:
For each chord, the product of segment lengths is a constant. We can find that constant as the product of the segment lengths of the bisected chord:
(24 ft)·(24 ft) = 576 ft^2
Then the missing segment length (DX) of the diameter chord is ...
DX·(36 ft) = 576 ft^2
DX = (576 ft^2)/(36 ft) = 16 ft
So, the total length of the diameter chord is ...
DX +XL = 16 ft + 36 ft
DL = 52 ft
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We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.
Answer:
the anwer is D: all of the above
Step-by-step explanation:
Answer:
195 minutes
Step-by-step explanation:
3 x 60 = 180
.5 x 60 = 30
.5 x 30 = 15
.25 x 60 = 15
180 + 15 = 195
Answer:
2,000 miles
Step-by-step explanation:
We are given:
This can be rewritten as:
This is representative of a unit rate, as we have a 
in the denominator. To calculate the number of miles in 
inches, simply multiply the unit rate by :
This can rewritten as:
Therefore, there are 2,000 miles in 4 inches.
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We can check our solution by simplifying the fraction by dividing both 
and by to see if we achieve the unit rate:
Since this is in fact the unit rate, our solution is correct!
Answer:
Step-by-step explanation:
3 sinθ=3 cos 2θ
sin θ=cos 2θ
sinθ=1-2sin² θ
2sin²θ+sin θ-1=0
2sin²θ+2sinθ-sinθ-1=0
2sin θ(sin θ+1)-1(sin θ+1)=0
(sin θ+1)(2 sin θ-1)=0
sin θ=-1=-sin 90=sin (180+90)
θ=270
or sin θ=1/2=sin 30,sin (180-30)
θ=30,150
solution set is {30,150,270}
