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
_____
We know DL is a diameter because the perpendicular bisector of any chord intersects the center of the circle.
Answer:
The prime factors of 15 are: 1,3,5,15
The prime factors of 21 are: 1,3,7,21
The prime factors of 38 are: 1,3,13,39
The prime factor of 42 is : 1,2,3,6,7,14,21,42
Answer:
-3119
Step-by-step explanation:
(-5)^2 - 2 x (-9) + 6
-5^2 - 2 x -9 + 6
-3125 - 2 x -9 + 6
-3125 - -18 + 6
-3125 - -6
-3119
I hope this helps :)
Answer: The required distance between the top and bottom of the bridge is 76 feet.
Step-by-step explanation: Given that a new bridge structure requires triangles that are in a ratio of 1:1.
AC = 2x + 10 and EC = 4x − 18.
We are to find the distance between the top and bottom of the bridge, in feet.
Since the two triangles ACB and DCE are in the ratio 1 : 1, so their corresponding sides are also in the ratio 1 : 1.
The sides AC and EC are corresponding to each other, so we must have

Therefore, the distance between the top and bottom of the bridge is

Thus, the required distance between the top and bottom of the bridge is 76 feet.
2<span>√ ̅11is going to be your answer.
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