Answer:
c = 4
Step-by-step explanation:
Let the common difference be c. Then a(n) = -3 + c(n-1). Since a(15) = 53, a(15) = -3 + (15-1)c = 53. Therefore, -3 + 14c = 53, or 14c = 56; c = 4.
Answer:
330yd^3
Step-by-step explanation:
multiply all of them
Answer:
Boat traveled 553.24 feet towards the lighthouse.
Step-by-step explanation:
In the figure attached AB is the light house of height 200 feet.
Angle of depression of the boat from the top of a lighthouse = angle of elevation of the lighthouse from the boat = 14°52'
so 1' =
degree
so angle of elevation at point C = 14 + 
So angle of elevation from C = (14 + 0.87) = 14.87°
Similarly, when boat arrives at point D angle of elevation = 45°10' = 45 +
= 45.17°
Now we have to calculate the distance CD, traveled by the boat.
In ΔABC
tan14.87 = 
0.2655 = 
BC = 
BC = 753.239 feet
Similarly in ΔABD
tan45.17 = 
1 = 
BD = 200 feet
So distance CD = BC - BD
CD = 753.239 - 200
= 553.24 feet
Therefore, Boat traveled 553.24 feet towards the lighthouse.
Answer:
D
Step-by-step explanation:
To be an identity we require both sides of the equation to equate
A
8x + 9 ≠ 8x - 3 ← not an identity
B
7x - 2 = 8x + 4 - x = 7x + 4 ≠ 7x - 2 ← not an identity
C
11 - (2x + 3) = 11 - 2x - 3 = - 2x + 8 ≠ - 2x - 8 ← not an identity
D
5x + 8 - x = 6x - 2(x - 4), that is
4x + 8 = 6x - 2x + 8 = 4x + 8 ← both sides equate thus an identity
Answer:
77/16
Step-by-step explanation: