Answer:
i need to see the first point before the transformation
Step-by-step explanation:
Answer:
The space left inside the cyclinder =36π(h - 24)
step-by-step explanation:
Radius of sphere = 6cm
Diameter of cylinder = 12cm
Radius of cylinder = d / 2 = 12 /2 = 6cm
Formula for volume of a sphere = 4/3 πr³
Formula for volume of volume of a cylinder = πr²h
r = radius
h = height
The volume of one sphere = 4/3πr³
Volume of 4 spheres = 4 * 4/3πr³ = 12/3 πr³ = 4πr³
But radius of the sphere = 6cm
Volume of the sphere = 4 * π * 6³
Volume of the sphere = 864π
Let the space left in the cylinder = x
The space left in the cylinder (x) = volume of the cylinder - total volume of the spheres
x = πr²h - 4πr³
Note : both radius = 6cm and we can just substitue it
x = πr² (h - 4r)
x = π*6² (h - 4*6)
x = 36π (h - 24)
The space left inside the cylinder = 36π(h - 24) since we don't know the value of the height of the cylinder.
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Answer:
(x, y, z) = (2+44t, 2+14t, 7-20t)
Step-by-step explanation:
One way to write parametric equations for line L is ...
L = P + t·<em>v</em>
where P is the given point and <em>v</em> is the given direction vector. Using that form, we have ...
(x, y, z) = (2+44t, 2+14t, 7-20t)
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If you like, you can remove a common factor of 2 from the coefficients of t.
(x, y, z) = (2+22t, 2+7t, 7-10t)
Answer:
1. 50 m
2. 80 cm
Step-by-step explanation:
1. There are 2 triangles, subtract the area of 1 of them from the other.
The triangle that needs to be subtracted: b = 20 m, h = 10 m
A = 1/2b * h = 1/2(20) * 10 = 10*10 = 100 m
The big triangle, the one that needs to be subtracted plus the one you need to find the area of: b = 20 cm, h = 15 cm, 1/2(20) * 15 = 10 * 15 = 150
150 - 100 = 50 c
2. Divide it into 3 parts:
1- 3*4 = 12
2. 7*(4 + 4) = 7*8 = 56
3. [(4 + 4) * (13 - 7 - 3)]/2 = (8*3)/2 = 24/2 = 12
12 + 56 + 12 = 80 cm
Answer:
2x + 7 + 3 - 2
Step-by-step explanation:
standard form
