Answer:
|-10|=10
Step-by-step explanation:
Absolute value is 10
the value of b is = 10.
The equation of a hyperbola is x^2/24^2 - y^2/ (10)^2= 1.
<h3>What is hyperbola?</h3>
The geometric characteristics of a hyperbola or the equations for which it is the solution set characterize it as a particular kind of smooth curve that lies in a plane. Mirror reflections of each other that resemble two infinite bows make up a hyperbola's two connected components or branches.
<h3>What is the general formula for hyperbola?</h3>
The general formula for hyperbola = (x - h)²/a²- (y - k)²/(b)² = 1
<h3>According to the given information:</h3>
x²/24 - y²/(b)² = 1
(x - 0)²/24 - (y -0)²/(b)² = 1
a=24,h=0 and k=0
Now equation of the directrix
x=a²/c...(1)
and we know x=576/26...(2)
Therefore from 1 and 2 we get
24²/c=576/26.
isolate the c so we get,
C=26
C= center of focii
c = √(a² + b³)
c² = a² + b²
b = c² - a²
b = 10
So we get the value of b is 10.
Therefore the equation of a hyperbola is x²/24² - y²/ (10)² = 1.
To know more about Hyperbola visit:
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The height of cylinder b is 11 cm.
<h3>How to measure the volume of a cylinder?</h3>
The volume of the cylinder is related to the capacity of this geometric figure. Remember that the cylinder or circular cylinder is an elongated and rounded geometric solid.
The formula for the volume of a cylinder is given by:
Where:
- V: volume
- π (Pi): 3
- r: radius
- h: height
In this case, as the cylinders are congruent, both will have the same radius, thus:
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I think it’s right, sorry if I’m wrong...
The square root of 5 is the positive real number that, when multiplied by itself, gives the prime number 5. It is more precisely called the principal square root of 5, to distinguish it from the negative number with the same property. This number appears in the fractional expression for the golden ratio. It can be denoted in surd form as:
List of numbers Irrational and suspected irrational numbers
γ ζ(3) √2 √3 √5 φ ρ δS e π δ
Binary 10.0011110001101110…
Decimal 2.23606797749978969…
Hexadecimal 2.3C6EF372FE94F82C…
Continued fraction
2
+
1
4
+
1
4
+
1
4
+
1
4
+
⋱
2 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4 + \cfrac{1}{4 + \ddots}}}}
5
.
\sqrt{5}. \,
It is an irrational algebraic number.[1] The first sixty significant digits of its decimal expansion are:
2.23606797749978969640917366873127623544061835961152572427089… (sequence A002163 in the OEIS).
which can be rounded down to 2.236 to within 99.99% accuracy. The approximation
161
/
72
(≈ 2.23611) for the square root of five can be used. Despite having a denominator of only 72, it differs from the correct value by less than
1
/
10,000
(approx. 4.3×10−5). As of December 2013, its numerical value in decimal has been computed to at least ten billion digits.[2]
