8244 to the nearest thousand is 8000
Start from -2,0 and then go up 1 and 4 to the right for each point
The answer to the following question would be 165.5 in.
Answer:
Hence x = y = 2
Step-by-step explanation:
Using the SOH CAH TOA identity
Hypotenuse = 2√2
Opposite = x
theta = 45
Sin theta = opp/hyp
Sin 45 =x/2√2
1/√2 = x/2√2
x = 2√2 * 1/√2
x = 2
To get y we will use the pythagoras theorem;
(2√2)² = x² +y²
(2√2)² = 2²+y²
8 = 4 + y²
y² = 8-4
y² = 4
y = √4
y = 2
Hence x = y = 2
The base and top have the same area, so we can add their costs.
.. cost of base + cost of top = (0.33 +0.20)*x^2 . . . . . . . . x measured in feet
The height of the box wil be (60/x^2), and the total length of all sides is the perimeter of the base, 4x. Then the cost of the sides is
.. cost of sides = (0.10)*(60/x^2)*(4x) = 24/x
The total cost of material for the box is
.. total cost = cost of base + cost of top + cost of sides
.. total cost = 0.53x^2 +24/x . . . . . . . . . . dollar cost for x in feet
