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.
Finance charge
(5,834.53−150)×(0.204÷12)=96.64
New balance
5,834.53−150+96.64+325
=6,106.17
Before we do anything we must convert radians to degrees using a table. pi/3 radians equals 60 degrees, meaning the central angle of this arc is 60 degrees. This also tells us that the length of the arc is 1/6 of the whole circumference. All we have to do now is calculate the circumference which is diameter x pi.
arc = 1/6 pi x 36
arc = 6pi cm
Answer:
7 yd
Step-by-step explanation:
You are finding the perimeter. Your answer should include yd (yd² is for area, yd³ is for 3d images).
Note that the two lines segments (? & 9) is parallel to the other line segment (16). Find the ?:
? + 9 = 16
? + 9 (-9) = 16 (-9)
? = 16 - 9
? = 7
7 yd is your answer
~
Take the ratio
4:8
Convert it to a fraction
4/8
Divide
.5
Multiply by 100 and add a % sign
50%