Answer:
b. reflection
Step-by-step explanation:
Answer:
BZ = 64/23 = 2 18/23
Step-by-step explanation:
The angle bisectors divide the triangle into proportional parts, so we have ...
CB/CY = AB/AY
CB = CY(AB/AY) = 4(8/6) = 16/3 . . . . multiply by CY and evaluate
and ...
BZ/CB = AZ/AC
BZ = AZ(CB/AC) . . . . multiply by CB
But we have ...
AZ = 8 -BZ, so this becomes ...
BZ = (8 -BZ)(16/3)/(10)
BZ(1 +8/15) = 64/15 . . . . add the BZ term on the right to both sides
BZ = (64/15)(15/23) = 64/23 . . . . divide by the coefficient of BZ
BZ = 64/23 = 2 18/23
Answer:
30 miles
Step-by-step explanation:
Let d represent the distance to the island. The relation between time, speed, and distance is ...
time = distance/speed
so the total time for the round trip is ...
d/15 +d/10 = 5
Multiplying by 30, we get
2d +3d = 150
d = 150/5 = 30
The island was 30 miles from the harbor.
I think it is -14. I inserted 4 as n. I don't know if that's how you do it.
Hi there!
Since there is a 50% chance of any coin landing on heads and a 50% chance of any coin landing on tails, the chance that all 3 coins land on either heads or tails (the same side) is 50% * 50% * 50%.
50% * 50% * 50%
= 0.5 * 0.5 * 0.5
= 0.25 * 0.5
= 0.125
Now, we need to convert into a percentage:
0.125 = 12.5%
So, the answer is 12.5%.
Hope this helps!