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lesantik [10]
3 years ago
9

Is the answer A B C or D​

Mathematics
1 answer:
photoshop1234 [79]3 years ago
8 0

Answer:

B 86.54%

Step-by-step explanation:

There are 156 suv's

135 are driven by women

135/156 =.86538 = 86.54%

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Jane is the regional manager of Graphic DesignWorks. She earns an annual
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A. $16,500

Step-by-step explanation:

82500/5

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x = 10 yd

Explanation:

These triangles are based on proportions. 12 yd is proportional to 18 yd, and <em>x </em>yd to 15 yd. We want to find <em>x</em>. We'll use the rule of three to calculate the unknown number.

12/18 = x/15

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Sec (90 -A) sinA = cot (90-A). tan( 90- A)​
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Read 2 more answers
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

The foci c is at +/-2√5, using c² = a² + b²:

c^2=a^2+b^2\\(2\sqrt{5} )^2=4^2+b^2\\20 = 16 + b^2\\b^2=20-16\\b^2=4\\b=\sqrt{4}=2\\ b=2

Substituting the value of a and b to get the equation of the hyperbola:

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

5 0
3 years ago
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