The original volume of the balloon is given by:
V1 = (4/3) * (pi) * (r ^ 3)
Where,
r: radius of the sphere.
Substituting values:
V1 = (4/3) * (pi) * (1 ^ 3)
V1 = (4/3) * (pi) * (1)
Then, the volume of the current sphere is:
V2 = (4/3) * (pi) * ((1 + 2 * (1)) ^ 3)
V2 = (4/3) * (pi) * ((1 + 2) ^ 3)
V2 = (4/3) * (pi) * ((3) ^ 3)
V2 = (4/3) * (pi) * (27)
The relation of volumes is:
V2 / V1 = ((4/3) * (pi) * (27)) / ((4/3) * (pi) * (1))
V2 / V1 = 27/1
Answer:
The ratio of the current volume of the balloon to the original volume of the balloon is:
27: 1
Answer:
1.5 hours
Step-by-step explanation:
using the relationship between distance/ speed / time
distance = speed × time
speed = 
= 
= 62 mph
travelling at this rate then
time = 
= 
= 1.5 hours
9514 1404 393
Answer:
C) Rotation 90° CW about the origin
Step-by-step explanation:
The transformation for rotation CW 90° is ...
(x, y) ⇒ (y, -x)
This is apparently the transformation that gets ...
A(1, 3) ⇒ A'(3, -1)
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<em>Additional comment</em>
Attached is a list of the commonly used transformations for your reference.
Part 1:
We have the following expression:
(3-6n5-8n4) - (- 6n4-3n-8n5)
Rewriting we have:
3-6n5-8n4 + 6n4 + 3n + 8n5
Adding similar terms we have:
2n5 - 2n4 + 3n + 3
Part 2:
We have the following equation:
4x2-2x-5 = 0
Using resolver we have to:
x = (- b +/- root (b2 - 4ac)) / (2a)
The solutions are:
x1 = 1/4 - root (21) / 4
x2 = 1/4 + root (21) / 4
