Answer:
They played 25 games.
Step-by-step explanation:
Let assume Sally Soccer team played "X" games
From question, we can derive the equation
=> X * 68% = 17
=> X * 68/100 = 17
=> X = 17 / 68 * 100
=> X = 0.25 * 100
=> X = 25
Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math
Answer:
The difference in sales is that Hillary sold $2,400 more than Jon
Step-by-step explanation:
To find each of their sales, start by dividing the amount they made by the percentage of commission that they earn.
Hillary
3498/.22 = 15,900
Jon
3780/.28 = 13,500
So now to find the difference, we subtract Jon's total from Hillary's.
15,900 - 13,500 = 2,400
Answer:
Step-by-step explanation:
<u>Function Modeling</u>
The problem gives us the following conditions: The bottom of Ignacio's desktop is 74.5 cm from the floor, and the top of his legs is 49.3 cm from the floor. We know the chair where he's sitting at has a knob that raises the legs 4.8 cm per clockwise rotation r. This means that the total distance the legs are raised for r rotations is . The total distance of his legs from the floor is then:
This distance cannot reach or exceed 74.5 cm, thus
Solving for r
Or, equivalently
Answer: 71.1minutes
Step-by-step explanation:
From the question, we were given monthly cost of calls and amount of call per minute.
To express the monthly cost in terms of minutes of call time will be :
Monthly cost = call per minute x f
Let minutes of call time be f
13.5= 0.19 x f
13.5 = 0.19f ....divide both sides by 0.19
f = 13.5/ 0.19
f= 71.1 minutes