Answer:
tan (48°19'23'') => 1.1232
Step-by-step explanation:
60' minutes are present in a degree, and 60 * 60' seconds are present in a degree;
48°19'23'' = 48 + 19/60 + 23/3600
= 
= 
=
= 48.323°
tan(48.323°) = 1.1232
Answer:
2/3
Step-by-step explanation:
Since the length increases by 0.5 cm every second, after 8 seconds the length will increase by 4 cm. 12 + 8 + 12 + 8 = 40, and 40 - (16 + 16) = 8. 8/2 = 4, so the width is now 4. 16 * 4 = 64, and 12 * 8 = 96. 64/96 = 2/3.
We know that the first cyclist has traveled 24.2 km at a speed of 10 km/h. Lets use the equation

to find the time of the first cyclist:


So, we know that she has traveled for 2.42 hours.
We also know that after she has traveled for 2.42 hours another<span> cyclist sets out in the same direction, so if </span>

represents the time of our first cyclist, <span>the time of our second cyclist will be </span>

.
Now we are going to use the equation

to relate the speeds and times of the two cyclist:
For the first one:

equation (1)
For the second one:

equation (2)
Replace (1) in (2)

The only thing left now is solve for

:




We can conclude that the second cyclist will catch up the first cyclist after
3.63 hours.
It would be 279 dollars
$186 divided by 6 equals 31
so 31 times 9 equals $279
Answer: 21.67 km
Step-by-step explanation: