Answer: 140cm 2
Step-by-step explanation: 8 x 5 = 40 x 4 = 115 + 25 = 140
Answer:
y = x - 9
Step-by-step explanation:
Find the slope of the first line.
(-9 + 5)/(5 + 9)
-1
Lines perpendicular have opposite reciprocal slopes
1
Find the middle point of the first line, this is where it will intersect with the bisector.
5 + - 9/2 = 2
-5 + -9/2 = -7
(2,-7) is the midpoint
Use Point Slope Form to reduce it to Standard Form
y + 7 = 1(x - 2)
y + 7 = x - 2
y = x - 9
They will ring again together at 10:15am. Because the common factor for 40, 48 and 60 is 240, which means 240 minutes, that equals to 4 hours. Hence 4 hours after 6.15am is 10.15am.
Hope this helps.
Answer:
384.6 ft
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you of the trig relation involving sides adjacent and opposite the angle. Here, the road distance is adjacent to the angle of depression, and the altitude is opposite. So, you have ...
Tan = Opposite/Adjacent
tan(7.5°) = (300 ft)/(distance to car 1)
tan(9°) = (300 ft)/(distance to car 2)
Solving for the distances, we have ...
distance to car 1 = (300 ft)/tan(7.5°) ≈ 2278.73 ft
distance to car 2 = (300 ft)/tan(9°) ≈ 1894.13 ft
Then the separation between the cars is ...
distance apart = 2278.73 ft - 1894.13 ft
distance apart = 384.6 ft
