Answer: option c is the correct answer
Step-by-step explanation:
The rectangular garden has equal lengths and equal widths.
The area of the rectangular garden is expressed as length of the rectangular field × width of the rectangular field.
From the information given, the length if the rectangular field is 2x+4 while the width of the rectangular field is 4x−6. The area of the rectangular field becomes
Area = (2x + 4)(4x - 6)
Area = 8x^2 - 12x + 16x - 24
= 8x^2 + 4x - 24
<span>Here, we only need the upper hemisphere:
z = √(36 - x^2 - y^2).
Note that the cone and sphere intersect at z^2 + z^2 = 36 ==> z = √18
==> The region of integration is x^2 + y^2 + 18 = 36 ==> x^2 + y^2 = 18.
So via Cartesian Coordinates, the surface area equals
∫∫ √[1 + (z_x)^2 + (z_y)^2] dA
= ∫∫ √[1 + (-x/√(36 - x^2 - y^2))^2 + (-y/√(36 - x^2 - y^2))^2] dA
= ∫∫ √[1 + (x^2 + y^2)/(36 - x^2 - y^2)] dA
= ∫∫ √[36/(36 - x^2 - y^2)] dA
= ∫∫ 6 dA/√(36 - x^2 - y^2).
Converting to polar coordinates yields
∫(θ = 0 to 2π) ∫(r = 0 to √18) 6r dr dθ/√(36 - r^2)
= 2π ∫(r = 0 to √18) 6r(36 - r^2)^(-1/2) dr
= 2π * -3 * 2√(36 - r^2) {for r = 0 to √18}
= 12π (6 - 3√2)
= 36π (2 - √2).
I hope this helps! </span>
Answer:
$17.28.
Step-by-step explanation:
In the expression, d represents the number of drinks she orders and t represents the number of toppings.
In this case, she orders 4 drinks and 3 toppings, so d = 4 and t = 3.
0.90(2.25d + 1.40t + 6)
= 0.9(2.25 * 4 + 1.4 * 3 + 6)
= 0.9(9 + 4.2 + 6)
= 0.9 * 19.2
= 17.28
So, the total cost for Lindy and her friends will be $17.28.
Hope this helps!
Answer:
divide both number by the same amount
