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rosijanka [135]
3 years ago
7

two telephone poles are 75 feet apart and the poles are 50 feet tall. What is the distance from the base of one pole to the top

of the other pole? too the nearest feet. and how do you know?

Mathematics
1 answer:
AlekseyPX3 years ago
4 0
What is the distance from the base of one pole to the top of the other pole? too the nearest feet. and how do you know?

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Answer:

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With which information can you construct a unique rhombus?
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I believe the correct answer is D.
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Find x: 3/(x-4)(x-7) + 6/(x-7)(x-13) + 15/(x-13)(x-28) - 1/x-28 = -1/20
Novay_Z [31]

The value of x<em> </em>in the polynomial fraction 3/((x-4)•(x-7)) + 6/((x-7)•(x-13)) + 15/((x-13)•(x-28)) - 1/(x-28) = -1/20 is <em>x </em>= 24

<h3>How can the polynomial with fractions be simplified to find<em> </em><em>x</em>?</h3>

The given equation is presented as follows;

\frac{3}{(x - 4) \cdot (x - 7) }  + \frac{6}{(x - 7) \cdot (x - 13)   }  + +\frac{15}{(x - 13) \cdot (x - 28) } - \frac{1}{(x - 28)  } =  -  \frac{1}{20}

Factoring the common denominator, we have;

\frac{3\cdot(x - 13) \cdot(x - 28) + 6 \cdot(x - 4) \cdot(x - 28)  + 15 \cdot(x - 4) \cdot(x - 7)  - (x - 4) \cdot (x - 7)\cdot(x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Simplifying the numerator of the right hand side using a graphing calculator, we get;

By expanding and collecting, the terms of the numerator gives;

-(x³ - 48•x + 651•x - 2548)

Given that the terms of the numerator have several factors in common, we get;

-(x³ - 48•x + 651•x - 2548) = -(x-7)•(x-28)•(x-13)

Which gives;

\frac{-(x - 7) \cdot(x - 28)\cdot (x - 13)}{(x - 4) \cdot (x - 7)\cdot(x - 13) \cdot(x - 28)}   + =  -  \frac{1}{20}

Which gives;

\frac{-1}{(x - 4)}   + =  -  \frac{1}{20}

x - 4 = 20

Therefore;

  • x = 20 + 4 = 24

Learn more about polynomials with fractions here:

brainly.com/question/12262414

#SPJ1

5 0
2 years ago
A cone and a cylinder have equal radius, r, and equal altitudes, h. If the slant height of the cone is l, then the ratio of the
77julia77 [94]

Given:

radius of cone = r

height of cone = h

radius of cylinder = r

height of cylinder = h

slant height of cone = l

Solution

The lateral area (A) of a cone can be found using the formula:

A\text{ = }\pi rl

where r is the radius and l is the slant height

The lateral area (A) of a cylinder can be found using the formula:

A\text{ = 2}\pi rh

The ratio of the lateral area of the cone to the lateral area of the cylinder is:

\pi rl\text{ : 2}\pi rh

Canceling out, we have:

\begin{gathered} =\frac{\pi rl}{2\pi rh} \\ =\text{ }\frac{l}{2h}\text{  or l:2h} \end{gathered}

Hence the Answer is option B

3 0
1 year ago
What is the slope of the line through (1,0) and (3,8)
Arturiano [62]

Slope = (y2 - y1)/(x2 - x1)

Slope = (8 - 0)/(3 - 1)

Slope = 8/2

Slope = 4


Answer

4

6 0
3 years ago
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