I think it’s B) 30 degrees
Answer:
We have sin² x + cos² x =1 for all real x.
Therefore, sin² x = 1 – cos² x = 1 – (8/17)² = 1 – 64/289 = 225/289 = (15/17)².
However, remember that if x² = a², then x can be +a or –a.
Therefore, sin x can be either –15/17 or +15/17.
Everyone but Anirban so far has forgotten the negative solution.
Step-by-step explanation:
Given that sinθ=817 and cosθ<0 , we have: cosθ=−√1−sin2θ. cosθ=−√1−(817)2. cosθ=−√1−64289.
Answer:
Step-by-step explanation:
start by subtracting the original value from the reduced value.
205.67-145.90=59.77
now compare the change of rate
59.77=r(205.67)
59.77/205.67=r
r=29%
Answer:
P = 9 is the max value
Step-by-step explanation:
Sketch
2x + 4y = 10
with x- intercept = (5, 0) and y- intercept (0, 2.5)
x + 9y = 12
with x- intercept = (12, 0) and y- intercept = (0,
)
Solve
2x + 4y = 10 and x + 9y = 12 to find the point of intersection at (3, 1)
The region corresponding to the solution of the system of constraints
Has vertices at (0,
), (0, 0) , (5, 0) and (3, 1)
Now evaluate the objective function at each vertex.
(0, 0) can be excluded as it will not give a maximum
(5, 0) → P = 5 + 0 = 5
(0,
) → 0 + 8 = 8
(3, 1) → 3 + 6(1) = 3 + 6 = 9 ← maximum value
Thus the maximum value is 9 when x = 3 and y = 1
11.5 x 3.2 = 36.8m
-36.8 meters change in elevation