we know that
Applying the law of cosines:
c² = a² + b² - 2abcos(C)
where:
a,b and c are sides of the triangle and C is the angle opposite side c
let
a=170 mi
b=200 mi
c=160 mi
that is
160² = 170² + 200² - 2(170)(200)cos(C)
solve for C
25,600 = 28,900 + 40,000 - 68,000cos(C)
25,600 - 28,900 - 40,000 = -68,000cos(C)
-43,300=-68,000cos (C)
cos (C)=0.6367
C=arc cos(0.6367)--------> C=50.45°
hence,
he should turn in the direction of island b by
180 - 50.45 = 129.55 degrees
the answer is
129.55 degrees
Answer:
5
Step-by-step explanation:
For this case we must find the value of "x", by trigonometric relations.
The tangent of an angle is given by the leg opposite the angle on the leg adjacent to the same angle.
Rounding:
Answer:
21.4
T=16x+96 so if he wants to receive 130$ a day he must work at least 3 hours of over time.
Let's break this down:
Total Pictures = 77
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
So, let's put the pieces together, the problem should look like this:
Total Pictures = Drew's Pictures + Danielle's Pictures
So let's put in what we know:
77 = X + (17 + 2X)
1st step is to get X to one side:
77 = X + 17 + 2X
-17 - 17
=> 60 = X + 2X
=> 60 = 3X
Now that X is on one side, the 2nd step is to get X to be alone:
60/3 = 3X/3 (We have to divide to each side because the answer is equal)
20 = X
So, now that we know what X equals, let's go back to what we broke down:
Drew's Pictures = X (An unknown amount)
Danielle's Pictures = 17 + 2X (2 times the amount of Drew plus 17)
*Remember that X = 20*
So the amount of Drew's Pictures (since the amount is equal to X) is 20.
Danielle had 17 + 2X pictures which means:
17 + 2(20)
17 + 40
57
So Danielle took 57 pictures
