Write each percent as a fraction in simplest form 16%

Mathematics

1 answer:

padilas [110]3 years ago

4 0

Answer:

16% is 4/25 15% is 3/20 14% is 7/50 13% is 13/100 12% is 3/25 11% is 11/100 10% is 1/10 9% is 9/100 8% is 2/25 7% is 7/100 6% is 3/50 5% is 1/20 4% is 1/25 3% is 3/100 2% is 1/50 and 1% is 1/100

Step-by-step explanation:

If you want to find a percent you have to put that number over 100 so say I was looking for 20% you would put 20/100 then you would reduce by dividing if they can and both can be divided by two so it would then be 10/50 then those can be divided by 10 so it would be 1/5

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Translation:
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Write the equation of a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2(sqrt5)

Xelga [282]

Answer:

$\frac{x^2}{16}-\frac{b^2}{4}=1$

Step-by-step explanation:

A hyperbola is the locus of a point such that its distance from a point to two points (known as foci) is a positive constant.

The standard equation of a hyperbola centered at the origin with transverse on the x axis is given as:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1$

The coordinates of the foci is at (±c, 0), where c² = a² + b²

Given that a hyperbola centered at the origin with x-intercepts +/- 4 and foci of +/-2√5. Since the x intercept is ±4, this means that at y = 0, x = 4. Substituting in the standard equation:

$\frac{x^2}{a^2}-\frac{y^2}{b^2}=1\\\frac{4^2}{a^2}-\frac{0}{b^2} =1\\\frac{4^2}{a^2}=1\\ a^2=16\\a=\sqrt{16}=4\\ a=4$