Answer: Time at which the meet = 10:17:24 am
Step-by-step explanation: Speed of Ivan = 12 mph
Speed of Kate = 16 mph
Total distance traveled = Initial separation = 40 miles
Ivan leaves his house at 8:00 a.m and Kate leaves her house at 9:30 a.m
If t is the time of catch up after Ivan starting, time taken by Kate is t - 1.5,
We have
Distance = Speed x Time
Total distance traveled = Distance traveled by Kate + Distance traveled by Ivan
40 = t x 12 + (t-1.5) x 16
40 = 28t - 24
28t = 64
t = 2.29 hours
So after 2.29 hours of Ivan's starting they meet,
Time = 8:00 am + 2.29 hours = 10:00 am + 0.29 x 60 minutes = 10:17am + 0.4 x 60 seconds = 10:17:24 am
Time at which the meet = 10:17:24 am
Answer:
22 and 158
Step-by-step explanation:
Supplementary angles add to 180. This is means there is a small and large angle. Adding together, they make 180.
- "the larger angle measures four degrees more than seven times the measure of a smaller angle" is represented as 7x+4.
- "x represents the measure of the smaller angle" is represented as x.
x + 7x+4 =180
8x+4=180
8x=176
x= 22
This is the measure of the smaller angle. The larger angle is 7(22)+4 = 158
The given answer should be "3/2", its because "32" is not possible in anyway..
tan C = sin C / cos C
Where sin C = 3 / 3.61
And
cos C = 2 / 3.61
Now
tan C = (3 / 3.61) / (2 / 3.61) = (3 / 3.61) x (3.61 /
2) = 3 / 2
<span>Thus tan C is the correct choice. </span>
0.17 because its in the hundredths place
