Answer:
see explanation
Step-by-step explanation:
x = r cosΘ
y = r sinΘ
with r = 54 and Θ = 69°, thus
x = 54cos69° ≈ 19.4
y = 54sin69° ≈ 50.4
Thus (54, 69° ) as an ordered pair
= ![\left[\begin{array}{ccc}19.4\\50.4\\\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D19.4%5C%5C50.4%5C%5C%5Cend%7Barray%7D%5Cright%5D)
Let's start by understanding that the graph is a linear line. We have a common difference if 4.5 for every 10x we have more.
We can start by finding the gradient, using rise over run. Let's take (10, 4.5) and (20, 9)
Our rise is 9 - 4.5 = 4.5 and our run is 10. Then, our gradient becomes 4.5/10 = 0.45
Now, we can substitute points using the point-slope form.
y - 4.5 = 0.45(x - 10)
y - 4.5 = 0.45x - 4.5
Hence, our line becomes y = 0.45x and you can verify by substituting in points from the table.
Answer:
120 pints
Step-by-step explanation:
1 gallon = 8 pints
15 gallons x 8 is 120 pints
Answer:
8 cylinders
Step-by-step explanation:
The surface area of a cylinder is given by the formula ...
A = 2πr(r +l) . . . . . for radius r and length l
__
The cylinders Rufus has each have an area of ...
A = 2π(5 cm)(5 cm +4 cm) = 90π cm² ≈ 282.74 cm²
That means 2500 cm² of paint will cover ...
2500 cm²/(282.74 cm²/cylinder) ≈ 8.84 cylinders
Rufus has enough paint to cover 8 cylinders completely.
