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rjkz [21]
3 years ago
5

What is the smallest number which is one less than twice its reciprocal?

Mathematics
1 answer:
notka56 [123]3 years ago
7 0

Answer:

The smallest number is x = -2

for which this statement holds !!

Step-by-step explanation:

Let as assume the number be x

then the number is one less than twice its reciprocal i.e,

x =  \frac{2}{x}  - 1

[ For solution refer to the attached file ]

  • Method used to solve quadratic equation is Splitting the middle term !!

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Find the volume of a right circular cone that has a height of 14.3 ft and a base with a diameter of 17.2 ft. Round your answer t
saveliy_v [14]

Answer:

Volume of the given cone is 1107.6 cubic feet.

Step-by-step explanation:

Formula to get the volume of a right circular cone is,

V = \frac{1}{3}\pi r^{2}h

Here r = radius of the circular base

h = height of the cone

Now we put the values in the given formula

Volume = \frac{1}{3}\pi (8.6)^2(14.3)  [ radius = \frac{17.2}{2}=8.6 ]

             = \frac{1057.628\pi }{3}

             = 1107.55

             ≈ 1107.6 cubic feet

Therefore, volume of the given cone is 1107.6 cubic feet.

6 0
3 years ago
1) B. Which method of finding the distance is<br><br> the best? Explain
sveticcg [70]

Answer and Step-by-step explanation:

Distance is the numerical measurement to find the space or interval between two objects. Distance also refers to physical length. Point x to point y  distance is denoted as |xy|

There are many ways to find out the distance, distance between two objects or two points. The efficient way of finding the distance between two points is given below. Mathematically, the distance between two points on a coordinate plane can be determined by using the distance formula, which is:

                                                 d =√((x2-x1)2+(y2-y1)2),

Where (x1, y1) and (x2, y2) coordinates, and d is the distance.

The middle point between these two points is known as midpoint and can find out by using the formula

Midpoint = a + b /2.

The distance between two points number line can also be calculated by using the formula:

AB =|b –a| or |a-b|.

3 0
3 years ago
. Evaluate tan(α + β) = sin(????+????) / cos(????+????) to show tan(???? + ????) = tan(????)+tan(????????) / 1−tan(????) tan(???
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Answer with Step-by-step explanation:

We are given that

tan(\alpha+\beta)

\frac{sin(\alpha+\beta}{cos(\alpha+\beta)}

By using formulatan x=\frac{sin x}{cos x}

\frac{sin\alpha cos\beta+sin\beta cos\alpha}{cos\alpha cos\beta-sin\alpha sin\beta}

By using property:sin(x+y)=sin x cosy+cos x sin y

cos(x+y)=cos x cosy-sin x siny

Divide numerator and denominator by cos\alpha cos\beta

Then, we get

\frac{\frac{sin\alpha}{cos\alpha}+\frac{sin\beta}{cos\beta}}{1-\frac{sin\alpha sin\beta}{cos\alpha cos\beta}}

tan(\alpha+\beta)=\frac{tan\alpha+tan\beta}{1-tan\alpha tan\beta}

Hence, proved

Substitute \alpha=\beta

Then we get

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3 0
3 years ago
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soldi70 [24.7K]

Answer:

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7 0
2 years ago
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3 years ago
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