Answer:
<h2>The required ratio is 8</h2>
Step-by-step explanation:
Volume of a sphere = 
where r is the radius of the sphere.
If manuel bought a balloon (that is a perfect sphere) with a radius of 2cm, the original volume of the sphere is expressed as;
Vo = 
If he wanted his balloon to be bigger and he blew 2 big breaths of air into the balloon, if each big breath increased the balloon's radius by 1cm, the total radius will be the initial radius of the sphere plus the new radius after expansion.
radius of current sphere = 2cm+(1cm+1cm) = 4cm
Volume of the current sphere Vc = 
The ratio of the current volume of the balloon Vc to the original volume of the balloon Vo will be expressed as;
Vc/Vo = 
The required ratio is 8
<h3>
Answer: 180 degrees</h3>
note: it doesn't matter if its clockwise or counterclockwise when it comes to 180 degree rotations.
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Explanation:
The rule for 180 degree rotations is
(x,y) ---> (-x, -y)
So the x and y coordinates flip in sign from positive to negative, or vice versa.
Point D ' (-3, 5) rotates to D ' (3, -5) following this rule
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A further detailed break down might look like this
x = -3 becomes -x = -(-3) = 3
y = 5 becomes -y = -5
(-3, 5) ----> (3, -5)
The answer I think it would be -6 right?
Answer:
Step-by-step explanation:
First, we have to write 8 + x, but since it's half of that we write it as a fraction with a 2 on the bottom to halve it.
Answer:
C
Step-by-step explanation:
-6 is less than 7
