First we need to calculate t(4) because x=4 for 4 shifts.
t(4) = 4*4 +3 = 19
Now because function "c" is declared as c(t(x)) for value x=4 we are searching c(19)! because t(4) = 19
c(19) = 2*19 + 5 = 43.
Answer is 43
Answer:
1. 
2. 3.2362
3. 
Step-by-step explanation:
1.
Cot is the trigonometric ratio defined by "adjacent" over "opposite". <em>So, adjacent = 2 and opposite = 3.</em>
By pythagorean theorem, we have the "hypotenuse" as 
Csc is defined as the trig ratio "hypotenuse" over "opposite". <em>We know the sides, so Csc
=
</em>
<em />
<em>First answer choice is right.</em>
<em />
2.
By definition, Csc
is the inverse of Sine
. <em>If given the value of sin theta, to find value of csc theta, we take the reciprocal of it. Hence:</em>

Third answer choice is right.
3.
By definition tan and cot are inverse of each other. <em>So the value of tan is the reciprocal of the value of cot.</em> We can simply "flip" the value of tan theta to get the value of cot theta. Hence:

Third answer is right.
Answer:
Inside the triangle - Acute Triangle
Outside the triangle - Obtuse Triangle
On the hypotenuse - Right Triangle
Step-by-step explanation:
The <u>circumcenter</u> is the point where the perpendicular bisectors of a triangle intersect.
In the special case of a right triangle, the circumcenter lies exactly at the midpoint of the hypotenuse.
The circumcenter of an acute triangle lies inside the triangle.
The circumcenter of an obtuse triangle lies outside the triangle.
100 - 20 = 80
179.00 = 80%
179.00 / 80 = 2.2375 = 1%
1% x 100 = 100%
So, 2.2375 x 100 = 100%
Therefore the original price was 223.75