Answer:
The volume of the sphere is 904.32 mm³.
Step-by-step explanation:
Given that the surface area of the sphere is 452.16 mm², to determine what the volume of the sphere is, the following calculations must be performed, knowing that the surface area is obtained through the formula 4 x radius ^ 2 x π, and the volume of the sphere through the formula V = 4/3 πr³:
4 x radius ^ 2 x 3.14 = 452.16
4 x radius ^ 2 = 452.16 / 3.14
4 x radius ^ 2 = 144
radius ^ 2 = 144/4
radius = √36
radius = 6
4/3 x 3.14 x 6³ = Volume
1,333 x 3.14 x 216 = Volume
904.32 = Volume
Therefore, the volume of the sphere is 904.32 mm³.
Answer:
Cost of shrubs = 23
Cost of tree = 47
Step-by-step explanation:
Let
Cost of shrubs = x
Cost of tree = y
13x + 4y = 487 (1)
6x + 2y = 232 (2)
Multiply (2) by 2
12x + 4y = 464 (3)
13x + 4y = 487 (1)
Subtract (3) from (1)
13x - 12x = 487 - 464
x = 23
Substitute x = 23 into (2)
6x + 2y = 232 (2)
6(23) + 2y = 232
138 + 2y = 232
2y = 232 - 138
2y = 94
y = 94/2
= 47
y = 47
Answer:
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Step-by-step explanation:
Answer:
(3, 0 )
Step-by-step explanation:
Given a parabola in standard form
y = ax² + bx + c (a ≠ 0 )
Then the x- coordinate of the vertex is
= -
y = 5x² - 30x + 45 ← is in standard form
with a = 5, b = - 30 , then
= - = 3
Substitute x = 3 into the function for corresponding value of y
y = 5(3)² - 30(3) + 45 = 45 - 90 + 45 = 0
vertex = (3, 0 )