Answer: 4/3
Step-by-step explanation:
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Answer:
f(x) = 3x^4 – 48.
x=2,-2
Step-by-step explanation:
Answer:
Step-by-step explanation:For any shape it’s always true that for volume
V
the surface area is: =2‾‾‾√3
for some constant depending on the shape. So to work out the surface area from the volume we just need to know the value of for the shape in the question.
For a cube for example we have that =6, assuming consistent units i.e.: unit 2 for area and unit 3
3
for volume.
More generally if we have formula for both volume and surface area in terms of a particular one dimensional measurement
d
of the shape then we can always write these formula in the form:
=13
=12
for constants constants 1 and 1
. Then we have:
=1‾‾‾√3
=1(1)2‾‾‾‾‾‾√3
=121‾‾‾√32‾‾‾√3
and therefore:
=121‾‾‾√3
For example for a sphere we have that that =42 and =433 and therefore:
=4(43)2‾‾‾‾‾‾√3
=36‾‾‾‾√3
So if a particular sphere has volume =8 then we can calculate its surface area to be:
=36‾‾‾‾√382‾‾√3=436‾‾‾‾√3 m2
In order to do this, one side of the rectangle will be x+2, and the other will just be x. The x would be representing the width since the length is the width (x) plus two feet (+2). Next, you have to make an equation. So, since it all has to use 16 feet of fencing, you would set the two sides to be added to equal 16. So, it would be: 16=x+2+x. Then, you reduce that, so it would be: 16=2x+2. After that you just solve for x (which means that you want x by itself on one side of the = ). So, you would subtract 2 from both sides. Since 2-2=0, that would make the "+2" go away; since 16-2=14, that would replace the 16. So, your new equation is: 14=2x. After that you just divide both sides by 2 because 2 divided by 2=0. 14/2=7. So, you would end up getting: 7=x as your final answer.
Now, you just put 7 where x was in the sides. So 2x (which was the length) trims into: 2 times 7, which =14 and the x (which was the width) we already figured out was 7. This, the width would be 7, while the length would be 14.
