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.
I hope this helps, if any doubt leave a comment
Answer:
6.0435*10²⁴
Step-by-step explanation:
Moon: 7.35*10²²
Earth: 5.97*10²⁴
7.35*10²² = 0.0735*10²⁴
then:
0.0735*10²⁴ + 5.97*10²⁴ = (0.0735 + 5.97)*10²⁴
= 6.0435 *10²⁴
Given:
(4k⁷)³ = 4n(k⁷)³
Note that (aˣ)ⁿ = aˣⁿ
Expand the left and right sides.
4³k²¹ = 4nk²¹
Divide each side by k²¹.
4³ = 4n
Divide each side by 4.
4² = n
Therefore
n = 4² = 16
Answer: n = 16
20) Answer is: x=76
21) Answer is x=15
