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baherus [9]
3 years ago
7

If one measurement of a golden rectangle is 5.4 inches, which number could be the other measurement? a. 3.337 b. 7.018 c. 1.618

d. 3.782
Mathematics
1 answer:
Fittoniya [83]3 years ago
7 0
A golden rectangle is a rectangle whose side lengths are in a golden ratio.
The golden ratio is:
1 : Φ which is approximately 1.618

Now, we are given that:
one side is 5.4 in
ration of sides is 1.618

This means that:
side1 / side2 = 1.618
5.4 / side2 = 1.618
1.618 side2 = 5.4
side2 = 5.4 / 1.618
side2 = 3.337 in

Based on the above calculations, the correct choice is:
a. 3.337

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0.25 (y-4)+0.07=0.22y-0.05 (60)
Georgia [21]
First, let's use distributive property and expand this equation:

<span>0.25 (y-4)+0.07=0.22y-0.05 (60)
</span>0.25y - 1 + 0.07= 0.22y - 3

Now, isolate the values of y and solve!

0.25y - 1 + 0.07= 0.22y - 3
  0.25y - 0.22y = 1 - 0.07 - 3
               0.03y = -2.07
                      y = -69

Hope this helps!
Message me if you have any questions :)
5 0
3 years ago
Rowan is taking his siblings to get ice cream. They can't decide whether to get a cone or a cup because they want to get the mos
Simora [160]

Answer

B

Step-by-step explanation:

4 0
3 years ago
What is the domain of the function graphed?
tekilochka [14]

Answer:

I think is c

Step-by-step explanation:

3 0
3 years ago
Una heladeria dispone de 20 frutas distintas para elaborar sus malteadas. Si los clientes pueden elegir tres sabores para mezcla
Dahasolnce [82]

Answer:

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

Step-by-step explanation:

En este caso, el cliente que adquiere una malteada de tres sabores distintos sigue el siguiente procedimiento:

1) El primer sabor sale de cualquiera de las 20 frutas disponibles.

2) El segundo sabor es distinto al primer sabor, es decir, que sale de las 19 frutas restantes.

3) El tercer sabor es distinto al primer sabor y al segundo sabor, es decir, que sale de las 18 frutas restantes.

Puesto que existe una doble conjunción y que puede importar el orden según la preferencia del cliente, se habla matemáticamente de una permutación, definida como:

n\mathbb{P}k = \frac{n!}{(n-k)!} (1)

Donde:

n - Número de sabores disponibles, adimensional.

k - Número de sabores escogidos, adimensional.

Si tenemos que n = 20 y k = 3, entonces la cantidad de malteadas de tres sabores distintos es:

n\mathbb{P}k = \frac{20!}{(20-3)!}

n\mathbb{P}k = \frac{20!}{17!}

n\mathbb{P}k = 20\cdot 19\cdot 18

n\mathbb{P}k = 6840

Existen 6840 permitaciones de malteadas de tres sabores distintos que la heladería puede ofrecer.

5 0
3 years ago
What numbers multiply to -30 and add to -3
krek1111 [17]
Let the numbers be x and y.  Then xy = -30 and  x+y = -3.

Solve xy = -30 for y:    y = -30/x

subst. -30/x for y in   x+y= -3:     x  -  30/x = -3

Multiply all 3 terms by x:  x^2 - 30 = -3x, so   x^2 + 3x - 10 = 0

Solve this quadratic equation for x.     x: {-5, 2}

If x = -5, then   x+y = -3 becomes -5 + y = -3, and y = 2.

You should check to determine whether x=2 is also correct.  If it is, what is the corresponding y value?
3 0
3 years ago
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