Answer:
44.94
Step-by-step explanation:
Use trigonometric ratios to find the unknown side.
Since you are given the adjacent side and the opposite side is in question, use the tangent ratio.
tan(x) = opposite/adjacent
Replace the variables with given values.
tan(59) = x/27
Isolate the variable.
27tan(59) = x
Use a calculator to evaluate the answer.
x = 27tan(59) ≈ 44.94
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Cost of walnuts = 45 cents per pound
Weight of walnuts in mixture = x pounds
So, total cost of walnuts in the mixture = 45x
This gives the cost in cents. The cost in dollars will be = 0.45x
Cost of pecans = 60 cents per pound
Since total weight of the mixture is 90 pounds. The weight of pecans in the mixture will be (90 - x) pounds.
So, total cost of pecans in the mixture will be = 60 (90 - x)
This gives the cost in cents, the cost in dollars will be = 0.6 (90 - x)
x pounds of walunts and (90-x) pounds of pecans are mixed to produce a mixture to sell at 55 cents per pound. So,we can set up the equation for this case as:
Cost of Walnuts + Cost of Pecans = Cost of Mixture

Using this equation, we can find the weight of walnuts, using x we can also find the weight of pecans. From weights we can then calculate the cost of walnuts and pecans used in the mixture.
Since a plane is 180 degrees total, x=135
180-45=135
Answer:
rate of change: $0.35; initial value: $2.50; Equation: y= 0.35x + 2.50
Step-by-step explanation:
The rate of change is $0.35 because it's the one to change the total cost of the ice cream. If you get 3 toppings, you'll end up with 1.05 more dollars than if you had 0 toppings. And because of that, the initial value would also be $2.50, that's the minimum price you'll have to pay if you do want a sundae.
The equation is just restating all that, you start with the inital value b=$2.50, and the price will go up by 0.35 for every topping you add to the sundae.
Hope this helped :)
Answer:
no I believe you are correct
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