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3 years ago

Q2. On a test consisting of 80 questions, Eve answered 75% of the first

SAT

1 answer:

satela [25.4K]3 years ago

7 0

Answer: 95%

Explanation:

To obtain score of 80% on entire exam means the student have to answer

(80/100)×80 = 64 correct answers

Student have already answered 75% of the first 60 questions correctly meaning

(75/100)×60=45 correct answers from first 60 questions

Remaining correct answers s/he have to answer

64-45=19

So from remaining 20 questions s/he have to answer 19 correct questions that is

20 × (x/100) = 19

x = 19 ×(100/20)

x = 95%

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2 years ago

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2 years ago

An ellipse is represented by the equation . each directrix of this ellipse is a ________________________ from the center on the

Anastasy [175]

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:

$\frac{(x - 5)^2}{625} -\frac{(y - 4)^2}{225} =1$

The above means that:

a^2 = 625

a = 25

b^2 = 225

b = 15

Calculate c using:

c^2 = a^2 - b^2

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c^2 = 625 - 225

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x - x₀ = ± a²/c

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x - x₀ = ± 625/20

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x - x₀ = ± 31.25

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