You cannot divide by zero, because that is undefined, it approaches infinity, which is not a real value. Some would say that division by zero is "not allowed" :P
So in this case the divisor cannot equal zero.
x^2+4x+3=0 There are many methods to factor, I'll complete the square, just for conciseness (and it is good to know how the quadratic formula is derived)
Divide by the leading coefficient, which is just 1 in this case...
Move the constant to the other side, subtract 3 from both sides
x^2+4x=-3 Halve the linear coefficient, square it, then add that value to both sides...(4/2)^2=2^2=4
x^2+4x+4=1 Now the left side is a perfect square...
(x+2)^2=1 Take the square root of both sides
x+2=±√1 subtract 2 from both sides
x=-2±√1
x=-2±1
x=-3 and -1
So if the equation equals zero when x=-3 and -1, it's factors are:
(x+3)(x+1)
So x cannot equal -3 or -1, otherwise your original equation would have division by zero.
Length of the pie = πD
Length of the pie = 10π
One slice = 10π ÷ 6 = 5.25 in (Answer C)
Answer:
X/12
Step-by-step explanation:
X - whole drywall
X/4 -quarters
X/4/3=X/12 fraction of a whole sheet is each of these small pieces
To solve this problem you must apply the proccedure shown below:
1. You have the following information given in the problem above:
- The <span>spherical bubble gum ball is at the bottom
- The radius of the cone is 1.5 inches, and its height is 3 inches.
- The diameter of the bubble gum ball is 0.5 inches.
2. Therefore, you must apply the formula for calculate the volume of a sphere to find the volume of the bubble gum ball:
Vs=4</span>πr^3/3
r is the radius (r=0.5 inches/2=0.25 inches)
Vs=4π(0.25 inches)^3/3
Vs=0.065 inches^3
3. The volume of the cone is:
Vc=πr^2h/3
r is the radius of the cone (r=1.5 inches)
h is the height (h= 3 inches)
Vc=π(1.5 inches)^2(3 inches)/3
Vc=7.06 inches^3
W<span>hat is the closest approximation of the volume of the cone that can be filled with flavored ice?
Vt=Vc-Vs
Vt</span>≈7.00 inches^3
This is 90,000 is your answer
