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3 years ago

15

A student can do an average of 25 math problems an hour. If at a certain time of day, he has done 40 math problems, how many pro

blems will he have done if he continues working for another 2 hours?
__ math problems

1 answer:

yanalaym [24]3 years ago

7 0

Answer:

90

Step-by-step explanation:

now: 40

after one hour: 40+25 = 65

after two hours: 65+25 = 90

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Step-by-step explanation:

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3 years ago

What is the equation of the ellipse with foci at (5, 0), (-5, 0) and vertices (9, 0), (-9, 0)?

forsale [732]

Answer: $\dfrac{x^2}{81}+\dfrac{y^2}{56}=1$

Step-by-step explanation:

General equation of ellipse : $\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}$

Given: Vertices of ellipse : (± 9,0)

Since the vertices are of the form (± a, 0).

i.e. a=9

Thus, the major axis is along x-axis.

Also, foci of the ellipse = (±5,0)

Since, foci is of the form (± c,0), i.e. c=5

Since

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Equation of ellipse :

$\dfrac{x^2}{9^2}+\dfrac{y^2}{56}=1\\\\\Rightarrow\ \dfrac{x^2}{81}+\dfrac{y^2}{56}=1$

Hence, the required equation : $\dfrac{x^2}{81}+\dfrac{y^2}{56}=1$

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4 years ago

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Answer:

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Step-by-step explanation:

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You substitute in the speed and the time given,

$0.4 = \frac{x}{30} \\ x = 12$

Then, you use the Pythagorean theorem,

$h = \sqrt{ {20}^{2} - {12}^{2} } \\ h = 16$

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3 years ago