Answer:
? = 30°
Step-by-step explanation:
All angles in a triangle add up to 180°
? + 130° + 20° = 180°
? = 180° - 130° - 20°
? = 30°
4 2/3 /2 /5
14/3 / 2/5 cross multiply
7/3 / 1/5 multiply 7 and 5 and 3 and 1
35/3 simplify
11 2/3
Answer:
9 hours
Step-by-step explanation:
If there's 4 people, they each need 1.5h So you multiply 1.5 by 6 and that's how you find how long it takes for 1 person.
just divide 17 by 6 and you'll get your mixed number:
2 5/6
The question might have some mistake since there are 2 multiplier of t. I found a similar question as follows:
The population P(t) of a culture of bacteria is given by P(t) = –1710t^2+ 92,000t + 10,000, where t is the time in hours since the culture was started. Determine the time at which the population is at a maximum. Round to the nearest hour.
Answer:
27 hours
Step-by-step explanation:
Equation of population P(t) = –1710t^2+ 92,000t + 10,000
Find the derivative of the function to find the critical value
dP/dt = -2(1710)t + 92000
= -3420t + 92000
Find the critical value by equating dP/dt = 0
-3420t + 92000 = 0
92000 = 3420t
t = 92000/3420 = 26.90
Check if it really have max value through 2nd derivative
d(dP)/dt^2 = -3420
2nd derivative is negative, hence it has maximum value
So, the time when it is maximum is 26.9 or 27 hours
