Answer:
165km
Step-by-step explanation:
If Gina leaves now and drives at 66km/h she will reach Alton just in time for her appointment
Now:
Distance=Speed X Time
D=66 X t=66t.....(I)
If she leaves in 40 minutes,and she must get there at the same time, her new drive time will be:
t hours - 40 minutes
=(t-40/60)hours=( t-2/3) hours
Her Distance this time
D=90(t-2/3)=90t-60.....(ii)
Since the distance to Alton does not change, we equate (I) and (ii)
66t=90t-60
60=90t-66t
60=24t
t=2.5 hours
From equation (I)
Distance=66t=66X2.5=165km
Distance to Alton is 165km.
Answer:
Distance between Archimedes and the rock = 7.51 m ≅
Step-by-step explanation:
The sunlight makes an angle of depression of 43 degrees
Hence angle between the rock and the sunlight rays is = 90-43=47 degrees
Distance between Archimedes and the rock = Tan 47 = X/7
X = 7 tan 47 = 7.506580970172 = 7.51m ≅
Answer:
Step-by-step explanation:
d because at time 0 charges the the fixed fee then increases based on the time spends on the job
Hello,
The two lights flash at the same time every 18 min
at 8:00 h=480 min =480+0*36
at 8:36 h=516 min =480+1*36
...
54 is not divisible by 36
60+12=72 = 2*36 yes
60+24=84 not
120+24=4*36 yes
180+18=198 not
So 2 times are correct 9:12 and 10:24
Answer G
Answer:
63.5
Step-by-step explanation:
using soh-cah-toa, you can determine that the x and the value given are sin(theta). Sin is opposite over hyp.
thus,


once you solve that you get the angle x equals to 63.4746 which can be rounded to 63.5°
hope this helps!