Consider using the Law of Cosines, because the lengths of three sides are given and the largest angle is the one to be approximated. This angle will be opposite the longest side, that is, opposite the 420-foot side.
420^2 = 250^2 + 300^2 - 2(250)(300)cos A.
Then: 176400 = 62500 + 810000 - 150000cos A.
Solving for cos A, we get:
150000cos A = 176400-62500-810000, or -696100
Then:
-696100
cos A = ------------------- = - 4.64. This is not possible, as the range of the cosine
150000 function is [-1,1].
Answer:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Step-by-step explanation:
Given
Represent the rate of the first mechanic with x and the second with y.
So, we have:
The total earnings is: $1850, so we have:
Required
Determine the rate of each
The equations are:
--- (1)
--- (2)
Divide (2) through by 5
--- (3)
Subtract (1) from (3)
Divide through by 2
Substitute 105 for y in (1)
Make x the subject
Substitute 105 for y
Hence:
Mechanic 1: $55 per hour
Mechanic 2: $105 per hour
Answer:
e = 1/2
Step-by-step explanation:
to solve foe e in this 4/3=-6e-5/3
solution
4/3=-6e-5/3
4/3 + 5/3 = 6e
find the lcm of the left hand side
4 + 5/3 = 6e
9/3 = 6e
cross multiply
3 x 6e = 9 x 1
18e = 9
divide both sides by the coefficient of e which is 18
18e /18 = 9/18
e = 1/2
therefore the value of e in the expression above is evaluated to be equals to 1/2
