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1 answer:
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Answer:
<em>Numbers: 6 and -2</em>
Step-by-step explanation:
<u>Equations</u>
This question can be solved by inspection. It's just a matter of factoring 12 into two factors that sum 4. Both numbers must be of different signs and they are 6 and -2. Their sum is indeed 6-2=4 and their product is 6*(-2)=-12.
However, we'll solve it by the use of equations. Let's call x and y to the numbers. They must comply:
Solving [1] for y:
Substituting in [2]
Operating:
Rearranging:
Solving with the quadratic formula:
With a=1, b=-4, c=-12:
The solutions are:
This confirms the preliminary results.
Numbers: 6 and -2
Answer:
Radius = 11.85yd
Step-by-step explanation:
Volume of a Cone formula: V = πr²(h/3)
We know that;
V = Volume
r = radius
π = pi (this is a sign located on your calculator)
h = height
We are given that;
V = 4,410
r = unknown
h = 30
Let's substitute the values in:
=> V = πr²(h/3)
=> 4,410 = πr²(30/3)
=> 4,410 = πr²(10)
=> 4,410 / 10 = πr²
=> 441 = πr²
=> 441 / π = r²
=> 140.37 = r²
=> = r
=> 11.85 = r
Therefore, <u>the radius of the cone = 11.85yd</u>
Hope this helps!