we are given

we have to find theta
so, firstly we can write sin in terms of cos

now, we can set it equal

Since, both sides are cos
so, we can set angles equal

now, we can solve for theta
we get
..............Answer
Answer: it will take 2.5 hours for both people to meet after person B leaves.
Step-by-step explanation:
The distance between the house of person A and his cousin's house is 234 miles.
At the point where they meet, they would have travelled 234 miles.
Person A travelled at an average speed of 44 miles per hour.
Let t represent the time spent by Person A in travelling from his house to the point where they meet.
Distance = speed × time
Distance covered by person A would be
44 × t = 44t
One and half hours later, person B leaves his house to visit person A, travelling at an average speed of 62 miles per hour. This means that total time spent by person B in travelling to the point where they meet is (t - 0.5) hours. Distance covered would be
62(t - 0.5) = 62t - 31
Since the total distance covered is 234 miles, then
44t + 62t - 31 = 234
106t = 234 + 31 = 265
t = 265/106 = 2.5 hours
The answer is 47 is 25% of 188.
Answer:
Step-by-step explanation:
(((22•5ax2) + 25ax) + 15a) - 5 = 0
Step 2 :
Step 3 :
Pulling out like terms :
3.1 Pull out like factors :
20ax2 + 25ax + 15a - 5 =
5 • (4ax2 + 5ax + 3a - 1)
Equation at the end of step 3 :
5 • (4ax2 + 5ax + 3a - 1) = 0
Step 4 :
Equations which are never true :
4.1 Solve : 5 = 0
For perpendicular lines, m2 = -1/m1; where m1 is the slope of line 1 and m2 is the slope of line 2.
m1 = (-4 - 2)/(4 - 2) = -6/2 = -3
m2 = -1/-3 = 1/3
Equation of the required line is given by: y - 4 = 1/3 (x - (-1))
y - 4 = 1/3 x + 1/3
y = 1/3 x + 1/3 + 4
y = 1/3 x + 13/3