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.
we know that
A number is an inequality solution if the number satisfies the inequality
<u>Part 1)</u>
rewrite the inequality
The answer Part 1) is the option D
Because satisfies the inequality
-----> is true
<u>Part 2)</u>
The answer Part 2) is the option A
Because satisfies the inequality
-----> is true
<u>Part 3)</u>
we're going to verify every case
<u>case A)</u> For
substitute the value of x in the inequality
------> is true
therefore
The number is a solution
<u>case B)</u> For
substitute the value of x in the inequality
------> is not true
therefore
The number is not a solution
<u>case C)</u> For
substitute the value of x in the inequality
------> is not true
therefore
The number is not a solution
<u>case D)</u> For
substitute the value of x in the inequality
------> is not true
therefore
The number is not a solution
therefore
The answer Part 3) is the option A
