Sinx=11/12
x=arcsin(11/12)°
x≈66° (to nearest whole degree)
...
sinα=(side length opposite angle α)/(length of hypotenuse)
Answer:
12 inches
Step-by-step explanation:
There are two steps to this problem. The first step is to make an equation for the cost of each company. The cost of each one involves 2 variables. However, we can ignore the number of days since the question asks for per day.
CostA = 90 + .40(miles)
CostB = 30 + .70(miles)
We want to know when A is a better deal or when A costs less. That is when CostA < CostB. We can then substitute the right sides of our equations into the inequality. This will give:
90 + .40(miles) < 30 + .70(miles) This is where we will now begin to solve for the number of miles.
-30 -30 Subtract 30 from both sides.
60 + .4(miles) < .7(miles) Simplify
-.4(miles) -.4(miles) Subtract .4(miles) from both sides
60 < .3(miles) Simplify
/.3 /.3 Divide both sides by .3
200 < miles Simplify
So for A to cost less the number of miles must be greater than 200.
Jeff because it was out of 5 and he only had two so he had three more to go. Jane had 1 more to go. Jill had 1 more to go. Cindy had 1 more to go and Jeff has 3 more to go.
I think that (1/4)x+8 would be your algebraic expression.
