The Diameter of sphere is 2cm.
Step-by-step explanation:
Given,
Volume of sphere = 
Let,
diameter = d
As we know,
Volume of sphere = 
Therefore,
We know that,
Diameter = 2r
Diameter = 2*1
Diameter = 2 cm
The Diameter of sphere is 2cm.
Keywords: Volume, Diameter
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1/29 or 29/100 would be your awnser
The given quadrilateral ABCD is a parallelogram since the opposite sides are of same length AB and DC is 4 and AD and BC is 2.
<u>Step-by-step explanation</u>:
ABCD is a quadrilateral with their opposite sides are congruent (equal).
The both pairs of opposite sides are given as AB = 3 + x
, DC = 4x
, AD = y + 1
, BC = 2y.
- AB and DC are opposite sides and have same measure of length.
- AD and BC are opposite sides and have same measure of length.
<u>To find the length of AB and DC :</u>
AB = DC
3 + x = 4x
Keep x terms on one side and constant on other side.
3 = 4x - x
3 = 3x
x = 1
Substiute x=1 in AB and DC,
AB = 3+1 = 4
DC = 4(1) = 4
<u>To find the length of AD and BC :</u>
AD = BC
y + 1 = 2y
Keep y terms on one side and constant on other side.
2y-y = 1
y = 1
Substiute y=1 in AD and BC,
AD = 1+1 = 2
BC = 2(1) = 2
Therefore, the opposite sides are of same length AB and DC is 4 and AD and BC is 2. The given quadrilateral ABCD is a parallelogram.
f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by {y|y ≥ k}, where k is the y-coordinate of the vertex.
, written in vertex form is
, where (h, k) = (-1, -11)
Therefore, range ={y|y ≥ -11}
The percent proportion is a/b = p/100, where p is the percentage of the total fraction on the left side of the equation that you are trying to figure out.
We know that p=5, because p represents percentage, and the percentage 5% is equal to the fraction 5/100. Also, we know that 60 = b, or the denominator as this is the entire portion that we are trying to figure out.
a/60=5/100
Now, we need to use cross products, or multiplying the numerator of one fraction by the denominator of the other, and setting them equal to one another.
100 * a = 60 * 5
If we simplify by multiplying, then we get the equation:
100a = 300
When we divide the variable by the coefficient, we get the equation
a=3
Therefore, sea world sold 3 discount tickets.
