Time=distance/speed
621÷51.75
=12
So it takes 12 hours
Answer:
an = -8 +3(n-1)
an = -11 +3n
f(n) = -11 +3n
Step-by-step explanation:
–8, –5, –2, 1, 4, ...
This is an arithmetic sequence.
We are increasing by 3 each time
-8 +3 = -5
-5+3 = -2
-2 +3 = 1
The common difference is 3
The formula for an arithmetic sequence is
an = a1 +d (n-1)
an = -8 +3(n-1)
an = -8 +3n -3
an = -11 +3n
The nth term is -11 +3n
f(n) = -11 +3n
Answer:
sin θ = 
Step-by-step explanation:
Given that,
cos θ = 
From the trigonometric functions,
cos θ = 
⇒ adjacent = 
, and the hypotenuse = 3
Let the opposite side be represented by x, applying the Pythagoras theorem we have;
= 
+ 
= 
+ 
9 = 3 +
= 9 - 3
= 6
x = 
Thus, opposite side =
So that,
sin θ = 
=
Therefore,
sin θ =
Answer:
See below
Step-by-step explanation:
Part A:
area of parallelogram = base * height
A = 9 ft * 8/9 ft = 8 ft^2
Part B:
Connect point D to point B with a segment. Now you have 2 triangles.
The area of each triangle is base * height/2
area of triangle = bh/2 = (9 ft)(8/9 ft)/2 = 4 ft^2
