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Troyanec [42]
3 years ago
5

Se necesita cercar un terreno de forma rectangular con alambre que cuesta $7,20 el metro. Si el terreno tiene 125m² y el largo e

s el doble que el ancho. ¿cuánto alambre se necesita?
Mathematics
1 answer:
il63 [147K]3 years ago
4 0

Answer:

La cantidad de cable necesaria es de 47.43 metros.

Step-by-step explanation:

La información dada es;

Longitud, L de la tierra = 2 × Ancho, W de la tierra

Por lo tanto tenemos;

L = 2 × W

El área cubierta por la tierra = 125 m²

Lo que da;

L × W = 125 m² = 2 × W × W = 2 × W²

W² = 125/2 = 62.5

W = √62.5 = \frac{5}{2} \sqrt{10} = 7,91 metros

La longitud = 2 × ancho = 2 ×  \frac{5}{2} \sqrt{10} = 5·√10 metros

La longitud del cable requerido = El perímetro de un rectángulo que forma la cerca = 2 × Ancho + 2 × Longitud del rectángulo

 La longitud del cable requerido = 2 × 5·√10 + 2× \frac{5}{2} \sqrt{10} = 10 · √10 + 5 · √10 = 15 · √10 metros = 47.43 metros.

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Select the correct answer. Consider these three numbers written in scientific notation: 6. 5 × 103, 5. 5 × 105, and 1. 1 × 103.
Karo-lina-s [1.5K]

Scientific notation uses expression which gives easy access of order. The greatest number is 5.5 \times 10^5 .It is greater by smallest number by 500  times.

<h3>How to convert a number to scientific notation?</h3>

It is usually of the form a.bc.. \times 10^kexponent of 10 starts)

(we have 1 ≤ |a| < 10 ) (where |a| is magnitude of a without sign)

This notation is used to get some idea of how large or small a number is in terms of power of 10.

<h3>What are some basic properties of exponentiation?</h3>

If we have a^bbase and 'b' is called power or exponent and we call it "a is raised to the power b" (this statement might change from text to text slightly).

Exponentiation(the process of raising some number to some power) have some basic rules as:

a^{-b} = \dfrac{1}{a^b}\\\\a^0 = 1 (a \neq 0)\\\\a^1 = a\\\\(a^b)^c = a^{b \times c}\\ a^b \times a^c = a^{b+c}

The given numbers are:

  • First number = 6.5 \times 10^3 = 6500
  • Second number = 5.5 \times 10^5 = 550000
  • Third number = 1.1 \times 10^3 = 1100

The smallest number is 1,100 and greatest is 550,000

Getting the division to get to know how many times the greatest number is larger than the smallest number, we get:

\dfrac{5.5 \times  10^5}{1.1 \times 10^3} = \dfrac{5.5 \times 10^{5-3}}{1.1} = \dfrac{5.5}{1.1} \times 10^2 = 5 \times 10^2 = 500

Thus, it is found that greatest number is 5.5 \times 10^5 . It is greater by smallest number by 500  times.

Learn more about scientific notation here:
brainly.com/question/3112062

6 0
2 years ago
Hiroshi is looking to update his hat selection, and has $300 to spend. If his preferred style of hat costs $50.30 including tax,
malfutka [58]

Answer:

he can buy 5!

Step-by-step explanation:

50.30 * 5 = 251.5

if you add another hat it will be more than $300

8 0
3 years ago
Read 2 more answers
You buy 1 1/4 yards of fabric and $8 clothing pattern. Your total cost with a 6% sales tax added is $18.55. What is the cost per
Anna35 [415]

Answer: The fabric costs $7.60 per yard.

Step-by-step explanation: First we can divide it by 106 then multiply it by 100 to get rid of the 6% sales tax, which now the cost of the stuff is $17.50. 

Next, we subtract 8 from this to represent the clothing pattern cost. Now it is $9.50.

The last stap to this is to divide it by 1 1/4 to get the final cost per yard: 

The fabric costs $7.60 per yard.

4 0
3 years ago
HELP<br> Find the value of two numbers if their sum is 5 and their difference is 30
vodomira [7]

Answer:

The 2 numbers are -12.5 and 17.5.

Step-by-step explanation:

Let 1 number be x then  x - y  = 30 where the other number is y.

y = x - 30 so the sum is:

x - 30 + x = 5

2x = 35

x = 17.5

and y = 17.5 - 30 = -12.5.

8 0
3 years ago
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Please help!!!!! it's a word problem and I don't understand how to do it at all
andre [41]
7We can see that line NM = JK so NM also equals 10.
We know NL = 23 and NM = 10 therefore, ML = NL -NM  ML = 23 -13
ML = 10
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KL = 10 / 0.55919
KL = 17.9

Total fence length required = JK + KL + NL =
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8 0
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