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bogdanovich [222]
3 years ago
9

The sum of a number and its reciprocal is 41/20. Find the number. smaller value larger value

Mathematics
1 answer:
Natali [406]3 years ago
6 0

Step-by-step explanation:

Let the number is x. Its reciprocal will be 1/x. According to given condition, we get :

x+\dfrac{1}{x}=\dfrac{41}{20}\\\\\dfrac{x^2+1}{x}=\dfrac{41}{20}\\\\20x^2+20=41x\\\\20x^2-41x+20=0

It is a quadratic equation. The values of x are :

20x^2-25x - 16x+ 20 =0\\\\5x(4x - 5) -4( 4x - 5) = 0\\\\(5x-4)(4x-5)=0\\\\5x-4=0\ \text{and}\ (4x-5)=0\\\\x=\dfrac{4}{5}\ \text{and}\ x=\dfrac{5}{4}

The smaller number is 4/5 and the larger number is 5/4.

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A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of
daser333 [38]

Options were missing in the question;

A water cup is shaped like a cone. It has a diameter of 3 inches and a slant height of 5 inches. About how many square inches of paper do you need to make a cup? Use 3.14 to approximate pi.

24 square inches

31 square inches

47 square inches

52 square inches

Answer:

24 square inches

Step-by-step explanation:

Given:

Diameter = 3 in

So we can say that;

Radius is half of diameter.

radius (r) = \frac{3}{2}=1.5\ in

Slant height (l) = 5 in

We need to find how many square inches of paper do you need to make a cup.

Solution:

Now according to question we required to find the amount of paper used to make cup.

Also Water cup is shaped liked cone.

Hence we can say that the base of cone is not covered since it will remain open.

So we will use Lateral surface area of the cone to find the paper requirement.

Now we know that;

Lateral surface area of cone is equal to π times radius times slant height.

framing in equation form we get;

A_L = \pi rl=3.14\times1.5\times5 = 23.55 in^2 \approx 24\ in^2

Hence We can say that 24 square inches of paper will be needed to make the cup.

5 0
3 years ago
Rename 28 percent as a decimal and fraction in its simplest form.
VARVARA [1.3K]
28% is 28/100 as a fraction but the simplest form is 14/50 and it can be simplified to 7/25. the decimal is 0.28

fraction is 7/25
decimal is 0.28

7 0
3 years ago
Read 2 more answers
Help please algebra
Murljashka [212]

The answer is D. -24 - 49i/13

4 0
3 years ago
Help me plz i want help
VMariaS [17]

Answer:

the one on the upper left with the triangular form

Step-by-step explanation:

all the others only represent one of the possibilities

3 0
3 years ago
A rectangle has an area 105 in2 and a length of 7 inches.  What is the length?​
QveST [7]

Answer:

Width is 15in

Step-by-step explanation:

Area=lengthxwidth

105=7w

divide by 7

7 0
2 years ago
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