Proportional relationship

Se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura. Calcular el área del cua

Leno4ka [110]

Answer:

El área del cuadrado es de 3 centímetros cuadrados.

Step-by-step explanation:

Dado que se desea pintar un cuadrado inscrito en una circunferencia de radio R=3cm como se muestra en la figura, para calcular el área del cuadrado se debe realizar el siguiente cálculo:

Radio = diámetro / 2

3 = X/2

X = 6

Hipotenusa del triángulo interno: 6 cm

Aplicando teorema pitagórico: lado al cuadrado mas lado al cuadrado es igual a hipotenusa al cuadrado.

L^2 + L^2 = 6

2L^2 = 6

L^2 = 6/2

L = √ 3

L = 1.732

Área de un cuadrado = L x L = L^2 = 3

Por lo tanto, el área del cuadrado es de 3 centímetros cuadrados.

3 0

2 years ago

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What is the local minimum value of the function? (Round answer to the nearest hundredth) g(x)=x^4-5x^2+4

Serhud [2]

The local minimum of function is an argument x for which the first derivative of function g(x) is equal to zero, so:
g'(x)=0
g'(x)=(x^4-5x^2+4)'=4x^3-10x=0
x(4x^2-10)=0
x=0 or 4x^2-10=0
4x^2-10=0 /4
x^2-10/4=0
x^2-5/2=0
[x-sqrt(5/2)][x+sqrt(5/2)]=0

Now we have to check wchich argument gives the minimum value from x=0, x=sqrt(5/2) and x=-sqrt(5/2).
g(0)=4
g(sqrt(5/2))=25/4-5*5/2+4=4-25/4=-9/4
g(-sqrt(5/2))=-9/4
The answer is sqrt(5/2) and -sqrt(5/2).

4 0

3 years ago

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Find a cubic function that has the roots 5 and 3-2i

Zolol [24]

Answer:

$P(x)=x^3-11x^2+43x-65$

Step-by-step explanation:

If the complex number $3-2i$ is a root of a cubic function, then the complex number $3+2i$ is a root too. Thus, the cubic function has three known roots $5,\ 3-2i,\ 3+2i$ and can be written as

$P(x)=(x-5)(x-(3-2i))(x-(3+2i)),\\ \\P(x)=(x-5)(x^2-x(3-2i+3+2i)+(3-2i)(3+2i)),\\ \\P(x)=(x-5)(x^2-6x+9-4i^2),\\ \\P(x)=(x-5)(x^2-6x+9+4),\\ \\P(x)=(x-5)(x^2-6x+13),\\ \\P(x)=x^3-11x^2+43x-65.$

4 0

2 years ago

An equilateral triangle with the perimeter of 90cm, what is the length of its side?

Vanyuwa [196]

Answer:

The length of its side is 30 cm

Step-by-step explanation:

<h3>Given:</h3>

An equilateral triangle with the perimeter of 90cm.

In a Equilateral Triangle all sides are equal

i.e., all 3 sides are equal

Now,

90/3 = 30 cm

Thus, The length of its side is 30 cm

-TheUnknownScientist 72

3 0

1 year ago

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Leo decides to buy a car for $9600 with a 5-year finance plan that offers 0% financing for the first yearThe APR after that will

Marianna [84]

Answer:

The monthly payment of Leo for the car loan for next four years is $759.5

Step-by-step explanation:

Given as :

The loan of the car = $9600

The rate of interest for first year = 0%

The next 4 years, the rate of interest = 3.9% compounded monthly

The amount paid for first year = $150 per months

I.e The amount paid for first month = $150 × 12 = $1800

Let The amount for next fours years = $A

Now, According to question

∵ For the first year $1800 is paid

So, The rest amount of loan = $9600 - $1800 = $7800

From compound interest

Amount = principal × $(1+\dfrac{\textrm rate}{12\times 100})^{\textrm 12\times time}$

Or, $A = $7800 × $(1+\dfrac{\textrm 3.9}{12\times 100})^{\textrm 12\times 4}$

Or, A = $7800 × $(1.00325)^{48}$

Or, A = $7800 × 1.1685

∴ A = $9114.3

So, The amount paid after 4 years = A = $9114.3

Or,The amount paid after 4 years as per months = $\dfrac{9114.3}{12}$

Or,The amount paid after 4 years as per months = $759.5

Hence The monthly payment of Leo for the car loan for next four years is $759.5 Answer

3 0

2 years ago