Answer:
± 27.33 ft
Step-by-step explanation:
For the given problem, we can estimate the initial and final coordinates of the line of the ball path as (-40,-50) and (0,0). Therefore, the slope is:
(-50-0)/(-40-0) = 50/40 = 1.25
Similarly, we can estimate the slope of a perpendicular line to the line of the ball path as: -1*(1/1.25) = -0.8.
Therefore, using (0,0) and the slope -0.8, the equation of the perpendicular line is: -0.8 = (y-0)/(x-0);
-0.8 = y/x
y = -0.8x
Furthermore, we are given the circle radius as 35 ft and we can use the distance formula to find the two points 35 ft far from the origin:
35^2 = x^2 + y^2
y = -0.8x
35^2 = x^2 + (-0.8x)^2
1225 = (x^2 + 0.64x^2)
1225 = 1.64x^2
x^2 = 1225/1.64 = 746.95
x = sqrt(746.95) = ± 27.33 ft
So rounding to the nearest unit means replacing the number and taking the closest integer it is to. For example 0.96 is 1, and 5.45 is 5. So doing this in this prob. is 1 × 10 × 5, or 50.
Answer:
your question doesn't make sense if an electrician came to your house it would cost $40 then $55 dollars per hour but there is no way that you can solve that (40+(55•2)=150+55=205 which is already over $190 dollars
If you have questions, feel free to ask
Answer:
Jelly beans: $6 for 1 kg
Gummy worms: $7 for 1 kg
Step-by-step explanation:
In this question, we need to find the cost of 1kg of jelly beans and gummy worms.
To do this, make equations for both scenarios and solve:
2j + 2g = 26
2j + 3g = 33
Turn the bottom equation negative, as we will first solve for gummy worms (g).
2j + 2g = 26
-2j - 3g = -33
Solve:
-g = -7
Divide both sides by -1.
g = 7
We now know that gummy worms cost $7 for 1 kg
To solve for jellybeans (j), plug in 7 to g in one of the equations and solve:
2j + 2(7) = 26
2j + 14 = 26
Subtract 14 from both sides.
2j = 12
Divide both sides by 2.
j = 6
Jellybeans cost $6 for 1 kg.
Check answer by plugging in values to one of the equations:
2(6) + 2(7) = 26
12 + 14 = 26
26 = 26
