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2 years ago

Please help me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Mathematics

2 answers:

Aneli [31]2 years ago

4 0

Answer:

5 times as many should be your answer.

shtirl [24]2 years ago

3 0

Answer:

2 times as many.

Step-by-step explanation:

2 times as many

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Dada la ecuacion 25x2 + 4y2 = 100, determina las coordenadas de los vertices, focos, las longitudes de los respectivos ejes mayo

Likurg_2 [28]

Answer:

The given equation is

$25x^{2} +4y^{2}=100$

Which represents an elipse.

To find its elements, we need to divide the equation by 100

$\frac{25x^{2} +4y^{2} }{100} =\frac{100}{100} \\\frac{x^{2} }{4} +\frac{y^{2} }{25} =1$

Where $a^{2} =25$ and $b^{2}=4$ . Remember that the greatest denominator is $a$ , and the least is $b$ . So, we extract the square root on each equation.

$a=5$ and $b=2$ .

In a elipse, we have a major axis and a minor axis. In this case, the major axis is vertical and the minor axis is horizontal, that means this is a vertical elipse.

The length of the major axis is $2a=2(5)=10$ .

The length of the minor axis is $2b=2(2)=4$ .

The vertices are $(0,5);(0,-5)$ and $(2,0);(-2,0)$ .

Now, the main parameters of an elipse are related by

$a^{2}=b^{2} +c^{2}$ , which we are gonna use to find $c$ , the parameter of the focus.

$c=\sqrt{a^{2}-b^{2} }=\sqrt{25-4}=\sqrt{21}$

So, the coordinates of each focus are $(0,\sqrt{21})$ and $(0,-\sqrt{21})$

The eccentricity of a elipse is defined

$e=\frac{c}{a}=\frac{\sqrt{21} }{5} \approx 0.92$

The latus rectum is defined

$L=\frac{2b^{2} }{a}=\frac{2(4)}{5} =\frac{8}{5} \approx 1.6$

Finally, the graph of the elipse is attached.

7 0

3 years ago

If the revenue for the week is $2000 and the labor cost consists of two workers earning eight dollars per hour who work 40 hours

arsen [322]

To find the cost of labor for one worker, you multiply the wage by the number of hours worked.

40 * 8 = 320

Because there are two workers, now you double it.

320 * 2 = 640

To find the percentage of the revenue that this is, you do the labor cost divided by the revenue.

640 / 2000 = 0.32

Move the decimal two places to the right to get the percentage.

0.32 = 32%

The labor cost is 32% of the revenue.

8 0

3 years ago

If 9% of a number equals 30, find 27% of that number.

sergiy2304 [10]

Answer:

Step-by-step explanation:

3 0

3 years ago

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George bought a rose bush at retail for $24. The wholesale price was $15. What was the markup?

Sliva [168]

Answer:

60%

Step-by-step explanation:

multiply 15 and 60%

Have a nice day!

6 0

3 years ago

HELP DO IN A HOUR !!!

klemol [59]

Answer:

bro why did u take his points

Step-by-step explanation:

5 0

3 years ago