It should be k= 4 or -1/3
Answer:
d. 32.9
Step-by-step explanation:
To find c, we'll use the Law of Sines that says:

And we'll isolate a to get:

We first need to find A, which is easy. The sum of the interior angles of a triangle is 180 degrees... and we already have 2 of them, so:
A = 180 - 90 - 47.3 = 42.7
(converted 47°18' to 47.3)
Then we will plug-in the information we already have

So, let's round it to 32.9 to match the answer number D.
Since a slope differe, this is not linear relationship. Simply, if you connect all points on the graph, they will not lie on the same line. Two next graphs represent the linear relationships, so they represent the linear relationship.
Answer:
126.5 years
Step-by-step explanation:
N(t) = 384(1.13)^t
2,000,000,000 = 384(1.13)^t
(1.13)^t = 2,000,000,000/384
log [(1.13)^t) = log (2,000,000,000/384)
t × log 1.13 = log (2,000,000,000/384)
t = [log (2,000,000,000/384)]/(log 1.13)
t = 126.5
Answer:
The height of the second prism is 12 units.
Step-by-step explanation:
First, we must know that the volume of a rectangular prism is equal to length x width x height. With this information, we can multiply the given dimensions of the first rectangular prism to get a volume of 2700 cubic units. From here, we must understand wha we need from the second rectangular prism. Because it has a square base of 15, that accounts for both its width and length. Therefore, we have that
