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arlik [135]
4 years ago
7

The graph shows a triangle formed by the x-axis,the line 3x-2y=0, and the line x+2y=10. Follow these steps to find the area of t

he triangle use the coordinates of point A to find the height of the triangle
Mathematics
1 answer:
makkiz [27]4 years ago
5 0
Hiiiii!!!! I am doing the question on the paper so I’ll let u know the answer very soon!
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A principal of $4500 is invested at 5.75% Interest, compounded annually. How much will the investment be worth after 5 years?
Mila [183]

Answer:

$5,951.33

Step-by-step explanation:

We can use the compound interest formula to solve this problem:

A=P(1+\frac{r}{n} )^{nt}

<em>P = initial balance</em>

<em>r = interest rate (decimal)</em>

<em>n = number of times compounded annually</em>

<em>t = time</em>

<em />

First, change 5.75% into a decimal:

5.75% -> \frac{5.75}{100} -> 0.0575

Now, plug in the values:

A=4,500(1+\frac{0.0575}{1})^{1(5)}

A=5,951.33

After 5 years, the investment will be worth $5,951.33

6 0
4 years ago
Una caja de 25 newtons se suspende mediante un cable con diámetro de 2cm¿cuál es el esfuerzo aplicado al cable?
Naddik [55]

El cable experimenta un esfuerzo axial de 79577.472 pascales por el peso de la caja.

<h3>¿Cómo calcular el esfuerzo aplicado sobre el cable?</h3>

La caja tiene masa y está sometida a un campo gravitacional, por tanto, tiene un peso (W), en newtons. Por el principio de acción y reacción (tercera ley de Newton), encontramos que el cable es tensionado debido a ese peso y su área transversal experimenta un esfuerzo axial (σ), en pascales.

Asumiendo una distribución uniforme de la fuerza sobre toda la superficie transversal de la cuerda, tenemos que el esfuerzo axial se calcula mediante la siguiente expresión:

σ = W / (π · D² / 4)

Donde:

  • W - Peso de la caja, en newtons.
  • D - Diámetro del área transversal de la caja, en metros.

Si sabemos que W = 25 N y D = 0.02 m, entonces el esfuerzo axial aplicado a la cuerda es:

σ = 25 N / [π · (0.02 m)² / 4]

σ ≈ 79577.472 Pa

<h3>Observación</h3>

La falta de problemas verificados en español sobre esfuerzos axiales obliga a buscar uno equivalente en inglés.

Para aprender más sobre esfuerzos axiales: brainly.com/question/13683145

#SPJ1

5 0
1 year ago
6=2-8 is this equation correct?
nirvana33 [79]

Answer:

8-2=6

Step-by-step explanation:

:)

8 0
2 years ago
Read 2 more answers
8 times the sum of a number and 9 is -32
Andre45 [30]

Answer:

Answer:

1)

2)

3) The greatest age that Sue could be is 7.

4) The smaller of the two integers is 92.

5) Don needs to earn at least 244 points in the fourth game.

Step-by-step explanation:

1) An rectangle has 2 dimensions: width(w) and length(l)

The perimeter P is:

The problem states that the length of a rectangle is three times its width. So l = 3w and:

The perimeter of the rectangle is at most 112 cm. It means that the perimeter can be 112, so the equal sign enters the inequality. So

2)

The problem states that he earns $850 per week in sales. His earnings is modeled by the following equation:

, in which w is the number of weeks.

The problem also states that he spent $7500 to obtain his merchandise, and it costs him $300 per week for general expenses. So his expenses can be modeled by the following equation

, in which w is also the number of weeks.

He will make a profit when his earnings are bigger than his expenses, so: When they are equal, there is no profit, so the equal sign does not enter the inequality.

3)

I am going to call Jenny's age x and Sue's age y.

The problem states that Jenny is eight years older than twice her cousin Sue’s age. So

.

The sum of their ages is less than 32, so:

Sue's age has to be less than 8, so the greatest age that Sue could be is 7.

4)

The sum of two consecutive integers is at least 185.

There are two integers with sum of 185, so:

They are consecutive so:

Replacing in the sum equation:

The smaller of the two integers is 92.

5)

The average is the sum of all the scores divided by the number of games. So:

Don needs to earn at least 244 points in the fourth game.

6 0
3 years ago
What fraction of one minute is 23 seconds
lions [1.4K]
There is 60 seconds in a minute so...

23/60
6 0
3 years ago
Read 2 more answers
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