Answer:
A
Step-by-step explanation:
sin A=(opposite side)/hypotenuse=a/c
cos A=(adjacent side)/hypotenuse=b/c
tan A=(opposite side)/(adjacent side)=a/b
We apply the Pythagorean theorem twice and obtain:
12 ^ 2 = x ^ 2 + (15-d) ^ 2
9 ^ 2 = x ^ 2 + d ^ 2
We observe that it is a system of two equations with two unknowns whose solutions are:
(x, d) = (-36/5, 27/5)
(x, d) = (36/5, 27/5)
We ignore the negative solution, therefore, the solution is:
(x, d) = (36/5, 27/5)
Answer:
The length of the new fence is:
x = 36/5 meters
We have been given that the upstream speed is 
and the down stream speed is 
.
Let the fisherman traveled a distance of x miles.
The total time of the trip is 6 hours.
Relations between speed (s), time (t) and distance (d) is 
Hence, 
Time upstream + time downstream = 6
lcm = 10
=> 
Cross multiplying, 
x = 20 miles .. Answer.
Answer:
19
Step-by-step explanation:
f(x) = 3x^2-3x + 1
Let x = -2
f(-2) = 3( -2)^2-3*-2 + 1
= 3 * 4+6+1
= 12 +6+1
= 19
