Answer:
540 SUV's
Step-by-step explanation:
Sales percentage of non SUV's = 100 - 60 = 40%
Let total cars be x
40% of x = 360

Number of SUV's = Total cars - number of non SUV's
= 900 - 360
= 540
Let the lengths of the bottom of the box be x and y, and let the length of the squares being cu be z, then
V = xyz . . . (1)
2z + x = 16 => x = 16 - 2z . . . (2)
2z + y = 30 => y = 30 - 2z . . . (3)
Putting (2) and (3) into (1) gives:
V = (16 - 2z)(30 - 2z)z = z(480 - 32z - 60z + 4z^2) = z(480 - 92z + 4z^2) = 480z - 92z^2 + 4z^3
For maximum volume, dV/dz = 0
dV/dz = 480 - 184z + 12z^2 = 0
3z^2 - 46z + 120 = 0
z = 3 1/3 inches
Therefore, for maximum volume, a square of length 3 1/3 (3.33) inches should be cut out from each corner of the cardboard.
The maximum volume is 725 25/27 (725.9) cubic inches.
Each slice would cost 0.40¢.
This is because 2.40/6=.40
Answer:
2
Step-by-step explanation:
Step 1. <em>Find a coterminal angle that falls be 0 and 2π.
</em>
Remember that cscθ is a periodic function. It repeats every 2π radians.
If n is an integer, cscθ = csc(θ ± 2πn)
csc(17π/6) = csc(12π/6 + 5π/6)
= csc(2π + 5π/6)
= csc(5π/6)
Step 2. <em>Use the unit circle to evaluate cscθ.
</em>
cscθ = 1/sinθ
Let θ = 5π/6
In a unit circle (below), the sine of an angle is y.
sinθ = ½
cscθ = 1/sinθ
= 1/(½)
= 2
Answer:
The bookshelf will fit between the windows with 1 inch remaining.
Step-by-step explanation:
Total width available for bookshelf
Six and half feet = 6.5 feet = 78 inches
Total width of the bookshelf = 77 inches
Hence, the bookshelf Mrs. Aguilar has purchased will fit between the windows with 1 inch remaining.