Answer:
x ≤
Step-by-step explanation:
multipy both sides by twelve
move the variable to the left side and change the sign
collect like terms
divide both sides by -17 and flip the inequality sign
Hello there!
We are going to follow the volume of a sphere since a volleyball is a sphere. V=4/3πr^3 is the formula for finding the volume of a sphere. The only unknown value is r, or the radius. We find the radius by halving the diameter.
8/2 = 4, so we have a radius of 4 inches.
Place the value of 4 in for r - V = 4/3 x π x (4)^3
Now solve.
V = 4/3 x π x (4)^3
Start by squaring 4.
V = 4/3 x π x 64
Next, multiply 4/3 by 64. (<em>you can do it in any order since there are no parenthesis</em>)
V = π x 85.33
Lastly, multiply 85.33 by pi.
V = 268.08
So, your answer is approximately 268.08, since we used rounding it is not exact. I hope this was helpful and have a great rest of your day! :)
31.02 mm.
Step-by-step explanation:
Step 1:
The area of the given circle is 240.48 π sq mm
We need to find the diameter of the circle
Step 2:
The formula for obtaining the area of any circle is π*r² where r represents the radius of the circle
We know that the diameter of circle is 2 times its radius.
Hence equating the formula of the area of the circle to the given value we can find its radius. Then multiplying the radius by 2 , we get the diameter.
Step 3 :
Using the above method , we have
πr² = 240.48 π
=> r² = 240.48 π / π = 240.48
=> r = √240.48 = 15.51 approximately
Hence the diameter of the given circle is 2 * 15.51 = 31.02 mm.
The triangle inequality requires the third side be in the range
.. 12 -4 ≤ third side ≤ 12 +4
.. 8 ≤ third side ≤ 16 . . . . . . . . . your answer is the number(s) in this range
_____
Some define the triangle inequality using < rather than ≤. Be careful here.
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