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:
Explanation:
Since, there are two possible outcomes for every toss (head or tail), the sample space for<em> a coin tossed 8 times</em> is 2×2×2×2×2×2×2×2 = 2⁸ = 256.
<em>Landing on heads all 8 times</em> is just one of the possible outcomes: HHHHHHHH ⇒ 1.
Hence, the <em>probability </em>is calculated from its own definition:
Probability = number of favorable outcomes / number of possible outcomes
Step-by-step explanation:
The number of cups of red paint is always 15 of the total number of cups. 0.2 of the total number of cups.
She writes the equation r = 15t (r = 0.2t) to describe the relationship.
In this case, the total no. of cups is an independent variable. No. of cups do not depend on any term.
The number of cups of red paint is a dependent variable as it depends on the number of cups.
