(x-5)^2 + (x-5)^2 .........
V = Volume of the spherical tank = 11000 ft³
d = diameter of the sphere = ?
Volume of water in the tank is same as the volume of sphere
The formula for Volume of spherical tank is given as
V = (π/6) d³
so
d³ = 6V/π
d = ∛(6V/π)
inserting the values given above
d = ∛(6(11000)/3.14)
d = ∛(66000/3.14)
d = ∛(21019.11)
d = 27.6 ft
The answer to the question is b
Answer:
The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the <u>line y = x</u> and a translation <u>10 units right and 4 units up</u>, equivalent to T₍₁₀, ₄₎
Step-by-step explanation:
For a reflection across the line y = -x, we have, (x, y) → (y, x)
Therefore, the point of the preimage A(-6, 2) before the reflection, becomes the point A''(2, -6) after the reflection across the line y = -x
The translation from the point A''(2, -6) to the point A'(12, -2) is T(10, 4)
Given that rotation and translation transformations are rigid transformations, the transformations that maps point A to A' will also map points B and C to points B' and C'
Therefore, a sequence of transformation maps ΔABC to ΔA'B'C'. The sequence of transformations that maps ΔABC to ΔA'B'C' is the reflection across the line y = x and a translation 10 units right and 4 units up, which is T₍₁₀, ₄₎
