The value of k is -89
Explanation:
The given expression is 
We need to determine the output k, when the input t is -7
<u>Output k:</u>
The value of the output k can be determined by substituting the input
in the expression 
Thus, we have,

Multiplying the terms 10 and -7, we have,

Simplifying, we get,

Thus, the value of k is -89
B) -15.6,-12.9,-10.2,-7.5,-4.8
This is an arithmetic sequence.
Answer:
a) The length of segment AC is approximately 5.83 centimeters.
b) The angle ACD is approximately 34.5º.
Step-by-step explanation:
a) Since
, the length of segment
is determined by Pythagorean Theorem, that is:


The length of segment AC is approximately 5.831 centimeters.
b) Since
, the length of segment
is determined by this Pythagorean identity:


The angle ACD is determined by the following trigonometric expression:





The angle ACD is approximately 34.448º.