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.
So
1/2x+2=2/3x
convert to common fraction
1/2=3/6
2/3=4/6
3/6x+2=4/6x
subtract 3/6x from both sides
2=1/6x
multiply boh tisdes by 6
12=x
the tank can hold 12 gallon
Answer:
Rounded to 73
Step-by-step explanation:
The exact number does not end so rounded to the closest whole number is 73
The value of a2 will be I dont care
Jocelyn has to spend $13.46 on gas.
To find this, you first have to determine the number of miles she drives. You can find this by multiplying the speed by the travel time.
65 miles per hour * 1.5 hours = 97.5 miles.
Now that he have the amount of miles she drives, we can find the amount of gas she spends. In order to do that we'll divide the distance by the rate.
97.5 miles / 25 miles per gallon of gas = 3.9 gallons
Now we can determine the cost by multiplying the amount of gallons by the price.
3.9 gallons * $3.45 per gallon = $13.46
