The answer is
Logarithm both sides of the equation:
Since:
, then:
Back to our equation:
Answer:
x = 14.4
Step-by-step explanation:
x is sin(angle 24/30)×24
how do we get the angle at 24/30 ?
by using the extended Pythagoras for baselines opposite other than 90 degrees.
c² = a² + b² - 2ab×cos(angle opposite of c)
in our example the angle 24/30 is opposite of the side 18.
so,
18² = 24² + 30² - 2×24×30×cos(angle 24/30)
324 = 576 + 900 - 1440×cos(angle 24/30)
324 = 1476 - 1440×cos(angle 24/30)
1440×cos(angle 24/30) = 1152
cos(angle 24/30) = 1152/1440 = 576/720 = 288/360 = 144/180 = 72/90 = 36/45 = 12/15 = 4/5
angle 24/30 = 36.9 degrees
x = sin(36.9) × 24 = 14.4
Answer:
3/11
Step-by-step explanation:
it is 3/11 because you do y1-y2 divided by x1-x2
If you subtract the times periods form each you will be able to get your answer. So, 9:14-6:30 it will be 2 hours and 44 mins because from 6:30 to 7 it 30 mins, and from 7 to 9 it’s 2 hours. So far, add the two and you get 2h and 30mins and from 9 to 9:14 it’s 14 mins. So, 2h 30 mins plus 14 mins is 2h and 44mins.
