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4 years ago

4. A square court for playing the game four square has an area of 256 ft?. How long is one

Mathematics

1 answer:

shusha [124]4 years ago

3 0

16ft
The square root of 256 is 16 which you square to find the area

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I don't know how to solve

Korolek [52]

The answer is 84 degrees you just subtract 180-90

4 0

3 years ago

An electronics company produces transistors, resistors, and computer chips. Each transistor requires 3 units of copper, 1 unit

padilas [110]

Answer:

An electronics company can be produce 350 transistors and 340 computer chips, they can´t produce resistors.

Step-by-step explanation:

1. We will name the variables for transistors, resistors and the computer chips.

a = Transistors

b= Resistors

c = Computer chips

2. We propose three linear equations, one for the copper, one for the zinc and one for the glass.

$\left \{ {{3a+3b+2c=1730} \atop {a+2b+c=690}}\atop {2a+b+2c=1380}} \right.$

3. We write the matrix form as Ax=d

$A=\left(\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right)$

$x=\left(\begin{array}{ccc}a\\b\\c\end{array}\right)$

$A=\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

With this formula the solution of x is $x=\frac{d}{A}$ or $x=A^{-1}d$

4. We will find the inverse matrix $A^{-1}$ using the formula:

$A^{-1} = \frac{1}{detA} (C_{A})^{T}$

a. det A

$det A=\left[\begin{array}{ccc}3&3&2\\1&2&1\\2&1&2\end{array}\right] =3*(4-1)-3*(2-2)+2*(1-4)=9-0-6=3$

b. $(C_{A})^{T}$

$C_{A}=\left(\begin{array}{ccc}4-1&.(2-2)&1-4\\-(6-2)&6-4&-(3-6)\\3-4&-(3-2)&6-3\end{array}\right)$

$C_{A}=\left(\begin{array}{ccc}3&.0&-3\\-4&2&3\\-1&-1&3\end{array}\right)$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&0&-3\\-4&2&3\\-1&-1&3\end{array}\right)^T$

$(C_{A}) ^T=\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

c. $A^{-1}$

$A^{-1}=\frac{1}{3} \left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)$

5. As $x=\frac{d}{A}$ or $x=A^{-1}d$ , the solution of x is:

$x=\frac{1}{3}\left(\begin{array}{ccc}3&-4&-1\\0&2&-1\\-3&3&3\end{array}\right)\left(\begin{array}{ccc}1730\\690\\1380\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}(3*1730)+(-4*690)+(-1*1380)\\(0*1730)+(2*690)+(-1*1380)\\(-3*1730)+(3*690)+(3*1380)\end{array}\right)$

$x=\frac{1}{3}\left(\begin{array}{ccc}1050\\0\\1020)\end{array}\right)$

$X=\left[\begin{array}{ccc}350\\0\\340\end{array}\right]$

Therefore:

a= 350 Transistors

b=0 Resistors

c=340 Computer chips

4 0

3 years ago

Por una falda que costaba 50 € Adela apagado en las rebajas 45 ¿Qué tanto por ciento de rebaja tenía la falda

Sliva [168]

Answer:

El porcentaje de descuento fue del 10%.

Step-by-step explanation:

Para encontrar el porcentaje de descuento, puedes calcular la variación entre los dos precios ya que este será el porcentaje aplicado. Para hacerlo debes calcular la diferencia entre los dos precios restando el precio final menos el precio original y luego, debes dividir este resultado entre el precio original y multiplicar por 100:

Precio original=50

Precio final=45

((45-50)/50)*100

(-5/50)*100=-0.1*100=-10%

De acuerdo a esto, la respuesta es que el porcentaje de descuento fue del 10%.

3 0

3 years ago

Myra has a remote-controlled toy boat. She runs the toy boat on a lake at a constant speed. The graph of a function representing

lawyer [7]

The coefficients of the linear equation are:

Rate of change = 4.2
Initial value = 3.8

This means that the correct options are B and E.

<h3>How we can find the linear equation?</h3>

First, a general linear equation is written as:

y = a*x + b

Where a is the rate of change (also called slope) and b is the y-intercept (also called initial value).

If we know that the line passes through two points (x₁, y₁) and (x₂, y₂), then the rate of change is given by:

$a = \frac{y_2 - y_1}{x_2 - x_1}$

In this case, we know that the line passes through:

(1, 8) and (1.5 , 10.1)

Then the rate of change is:

$a = \frac{10.1 - 8}{1.5 - 1} = 4.2$

So the line is something of the form:

y = 4.2*x + b

To find the value of b we can use one of the given points, I will use (1, 8).

This means that when x =1, we have y = 8, replacing that we get:

8 = 4.2*1 + b

8 - 4.2 = b

3.8 = b

So we have:

Rate of change = 4.2
Initial value = 3.8

Then the correct options are:

B and E.

If you want to learn more about linear equations, you can read:

brainly.com/question/4025726

4 0

2 years ago

40 POINTS!

Naddika [18.5K]

Answer:

he do what he do tho

Step-by-step explanation:

7 0

3 years ago