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3 years ago

A prism with a volume of 1458 mm³ is scaled down to a volume of 16 mm³.

Mathematics

2 answers:

tino4ka555 [31]3 years ago

7 0

The correct answer is

<span>A. 2/9</span>

vodomira [7]3 years ago

4 0

The volume of one prism = $1458 mm^3$

The volume of other prism = $16 mm^3$

The first prism is scaled down to the second prism. As volume given, to find the scale factor we will have to find cube root of the ratio of the volume. So the scale factor is

$(\frac{16}{1458})^{(1/3)}$

We have to simplify the fraction now. To simplify it we will divide the numerator and denominator by a common factor of them.

2 is a common factor of 1458 and 16. By dividing them by 2 we will get,

$\frac{16}{1458} = \frac{8}{729}$

Now we have to find cube root of both 8 and 729.

We know that, $2^3 =8$ . So cube root of 8 is 2.

And also, $9^3 = 729$ . So cube root of 729 is 9.

The scale factor is = $\frac{2}{9}$ .

We have got the required answer. Option A is the correct option here.

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lara [203]

7.779955 × 10 to the 4th power.

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3 years ago

Chandani purchased some parrots. 20% flew away and 5% died. Of the remaining, 45% were sold. Now 33 parrots remain. How many par

Paha777 [63]

Answer:

80 parrots were purchased.

Step-by-step explanation:

Let the total number of parrots be k.

If 20% (or 20/100 = 1/5) flew away and 5% (5/100 = 1/20) died, the remaining parrots will be k – (¹/₅k + ¹/₂₀k) = k – ¼k = ¾k.

Of the remaining, 45% (or 45/100 = 9/20) were sold, which means the total number of sold parrots will be ¾k × ⁹/₂₀ = ²⁷/₈₀k.

The remaining parrots = ¾k – ²⁷/₈₀k = ³³/₈₀k = 33

k = 33 × ⁸⁰/₃₃ = 80 parrots were purchased.

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3 years ago

at a hardware store, 5 gallons of paint and 5 paintbrushes cost $120, while 2 gallons of paint and 6 paintbrushes cost $64. Find

Katyanochek1 [597]

Well the answer is 9 for 1 paintbrush

7 0

3 years ago

Tengo 5 cubos de colores. Uno rojo, uno amarillo, uno verde, uno azul claro y uno azul oscuro. ¿De cuántas formas puedo organiza

rusak2 [61]

Answer:

72 formas

Step-by-step explanation:

Primero vamos a calcular de cuántas formas se puede organizar los 5 cubos en una columna utilizando la regla de la multiplicación:

5 * 4 * 3 * 2 * 1 = 120

Porque tenemos 5 cubos para poner en la base de la columna, luego 4 cubos para la segunda posición de la columna, luego 3 cubos y así hasta organizar todos los cubos.

Luego vamos a calcular de cuántas formas podemos organizar los 5 cubos de tal forma que los cubos azules se toquen entre sí. Para esto vamos a contar los dos cubos azules como si fueran uno solo, es decir, sólo tendríamos "4 cubos" y podríamos organizar los cubos de 24 formas distintas:

4 * 3 * 2 * 1 = 24

Por otro lado, los 2 cubos azules pueden ser organizados de dos formas diferentes: primero el claro y luego el oscuro o primero el oscuro y luego el claro.

Es decir que hay 24 formas distintas de organizar los cubos en donde primero va el claro y luego el oscuro y hay 24 formas de organizar los cubos en donde primero va el oscuro y luego el claro.

Esto significa que de las 120 formas de organizar los 5 cubos, 48 formas tienen los cubos azules juntos y en 72 (120-48) formas los dos cubos azules no se tocan entre sí.

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3 years ago

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Stels [109]

Answer:

The sum of the measures of the angles in a triangle is equal to 180 degree.

In triangle FGH;

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