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antoniya [11.8K]
3 years ago
15

The area of a rectangular pool is 6072 m(squared)

Mathematics
1 answer:
lesya [120]3 years ago
3 0

Answer:

88 m

Step-by-step explanation:

A=L×w

Where A=6072 m squared, w=69 m

6072=L×69

L=6072/69

L=88 m

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A system of equations is shown below: x + y = 3 2x − y = 6 the x-coordinate of the solution to this system of equations is _____
Norma-Jean [14]

Answer:

The x-coordinate of the solution to this system of equations is 3

Step-by-step explanation:

Given the system of equations:

x+y = 3                          ....[1]

2x-y = 6                         ....[2]

Add equation [1] and [2] we have;

x+y+2x-y = 9

Simplify:

3x = 9

Divide both sides by 3 we have;

x = 3

Substitute in [1] we have;

3+y = 3

⇒y = 0

Solution for the given system of equation is= (3, 0)

Therefore, the x-coordinate of the solution to this system of equations is 3

5 0
3 years ago
Una torre de 28.2 m de altura esta situada a la orilla de un rio, desde lo alto del edificio el ángulo de depresión a la orilla
Svet_ta [14]

Answer:

El ancho del río es 59.9 metros.

Step-by-step explanation:

El ancho del río lo podemos calcular con la siguiente relación trigonométrica asumiendo que la torre forma un triángulo rectángulo con el río:

tan(\theta) = \frac{CO}{CA}

En donde:

CA: es el cateto adyacente = Altura de la torre = 28.2 m

CO: es el cateto opuesto = ancho del río =?

θ: es el ángulo adyacente a CA

Dado que el ángulo de depresión (25.2°) está ubicado fuera de la parte superior de la hipotenusa del triángulo que forma la torre con la orilla opuesta del río, debemos calcular el ángulo interno (θ) como sigue:

\theta = (90 - 25.2)^{\circ} = 64.8 ^{\circ}

Ahora, el ancho del río es:

CO = tan(\alpha)*CA = tan(64.8)*28.2 = 59.9 m

Por lo tanto, el ancho del río es 59.9 metros.

Espero que te sea de utilidad!                  

4 0
2 years ago
Adult tickets for the school play are $12.00 and children's tickets are $8.00. If a theatre holds 300 seats and the sold out per
Vaselesa [24]
Let x = number of adult tickets, and y = number of children tickets. One equation must deal with the number of tickets, and the other equation must deal with the revenue from the tickets.

Then x + y = 300 is the number of tickets
12x + 8y = 3280 is the revenue from the tickets.

Using the substitution method:

x + y = 300   ⇒   y = 300 - x   ⇒   Equation (3)

12x + 8y = 3280   ⇒   12x + 8(300-x) = 3280   ⇒   x = 220

y = 300 - x   ⇒   y = 300-220 ⇒ 80

Therefore 220 adult tickets and 80 children's tickets were sold.
6 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B5%7D%7B12%7D" id="TexFormula1" title=" \frac{5}{12}" alt=" \frac{5}{12}" align="a
Tasya [4]

Answer:

About 0.417

Step-by-step explanation:

8 0
3 years ago
The weekly pay for working a job is given by the function P(h) = 15h, where "h" is the number of hours worked. The company restr
Blababa [14]

Answer:

Either B or D.

Step-by-step explanation:

I consider both options valid. It all depends on how the employer is keeping track of time, ie if the pay "ticks" every 60 minutes, or an employee is allowed to clock in half hours.

Will I be able to work 30 and a half hour for example? If I'm allowed to, D.

If I have to work multiple of 60 minutes, B.

6 0
3 years ago
Read 2 more answers
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