The true statement about the directrix is that each directrix of this ellipse is 31.25 units from the center on the major axis.
<h3>How to determine the distance of the directrix?</h3>
The equation of the ellipse is given as:
The above means that:
a^2 = 625
a = 25
b^2 = 225
b = 15
Calculate c using:
c^2 = a^2 - b^2
This gives
c^2 = 625 - 225
Evaluate the difference
c^2 = 400
Evaluate the square root
c = 20
The equation of the directrix is
x - x₀ = ± a²/c
So, we have:
x - x₀ = ± 625/20
Evaluate the quotient
x - x₀ = ± 31.25
This means that, each directrix is 31.25 units from the center on the major axis.
Read more about directrix at:
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Answer:
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The mass of the acetic acid is 1.512 g.
<h3 /><h3>What is Molarity?</h3>
molarity is the concentration of a substance in mol per dm³
From the question,
The number of moles contained in the 30 mL vinegar is
- n = (0.84×30)/1000
- n = 0.0252 mol.
the molar mass of vinegar is calculated below.
- m.m of (HC₂H₃O₂) = [1+(12×2)+(1×3)+(16×2)]
- m.m = (1+24+3+32]
- m.m = 60 g/mol.
To calculate the mass of acetic acid, we use the formula below.
- R.m = n×m.m............. Equation 1
Where
- R.m = mass of acetic acid.
Substitute these values into equation 1
- R.m = (0.0252×60)
- R.m = 1.512 g.
Hence, The mass of the acetic acid is 1.512 g.
Learn more about molarity here: brainly.com/question/20383725
