Answer:
53.1 degrees
Step-by-step explanation:
use sohcahtoa
sin(x) = 12/15
sin(x) = 0.8
sin-1(0.8) = 53.1301
44, .3 work round the number up so its stays at 44
C) if you multiply it you get w^2 + 7w +11w+77, which is w^2+18w+77
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
Answer:
48
Step-by-step explanation:
On either side of a line, there is an angle of 180. This means that when two lines intersect, the angles on either side will equal 180.
To solve this problem, add the two angles and set it equal to zero.
(x + 34) + (2x + 2) = 180
x + 34 + 2x + 2 = 180
3x + 36 = 180
3x = 144
x = 48
The value of x is 48.