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3 years ago

A certain pizza parlor has 7 different toppings. How many two- topping pizzas are possible?

Mathematics

1 answer:

Nezavi [6.7K]3 years ago

7 0

Answer:

Step-by-step explanation:

Ok, so this may be confusing but I’ll explain.

Here is a very simplified diagram:

1-2, 1-3, 1-4, 1-5, 1-6, 1-7

2-3, 2-4, 2-5, 2-6, 2-7

3-4, 3-5, 3-6, 3-7

4-5, 4-6, 4-7

5-6, 5-7

6-7

*Note- I did this in about 30 seconds and on my phone so it is very simplified *

Each number, 1-7, is supposed to represent a different ingredient and they are put together to represent the two-ingredient combinations.

For example: 1-2 could represent pepperoni and sausage, and 1-5 could represent pepperoni and olives. This would mean that the 1 represents pepperoni, 2 represents sausage, and 5 represents olives.

If you count the number of combinations in each row, there are 21 combinations. This is because I made sure there are no repeats (2-3 AND 3-2) and because there wouldn’t be any doubles (1-1 or 2-2)

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5 times what equals 8

nadezda [96]

Answer:

1.6

Step-by-step explanation:

8/5=1.6

1.6 x 5 = 8

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3 years ago

Samantha earns $8 per hour at a candy store. She receives a 5% raise. What are her new hourly earnings?

d1i1m1o1n [39]

$8 x 5 = 40

40/100 = 0.4

$8 + 0.4 = $8.4

Therefore Samantha now earns $8.4 per hour.

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3 years ago

12) Erica has three more dimes than nickels in her pocket, for a total of $1.50. If x represents the number of

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Given the parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π. convert to a rectangular equation and sketch the curve

Temka [501]

The rectangular equation for given parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

For given question,

We have been given a pair of parametric equations x = 2sin(t) and y = -3cos(t) on 0 ≤ t ≤ π.

We need to convert given parametric equations to a rectangular equation and sketch the curve.

Given parametric equations can be written as,

x/2 = sin(t) and y/(-3) = cos(t) on 0 ≤ t ≤ π.

We know that the trigonometric identity,

sin²t + cos²t = 1

⇒ (x/2)² + (- y/3)² = 1

⇒ $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

This represents an ellipse with center (0, 0), major axis 18 units and minor axis 8 units.

The rectangular equation is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$

The graph of the rectangular equation $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ is as shown below.

Therefore, the rectangular equation for given parametric equations x = 2sint and y = -3cost on 0 ≤ t ≤ π is $\frac{x^{2} }{4} +\frac{y^2}{9} =1$ which is an ellipse.

Learn more about the parametric equations here:

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7 0

2 years ago

Calcular el valor del ángulo que falta de dun triangulo rectangulo si uno de sus lados mide 25 grados.

Blizzard [7]

Considerando la definición de triángulo rectángulo y sus propiedades, el valor del ángulo que falta de un triángulo rectángulo es 65°.

<h3>Definición de triángulo</h3>

Un triángulo es un polígono que está determinado por tres segmentos de recta que se denominan lados, o por tres puntos no alineados llamados vértices.

En otras palabras, un triángulo es un polígono conformado por tres lados, así como por tres vértices y tres ángulos interiores.

Una de las propiedades de cualquier triángulo indica que la suma de los ángulos interiores es igual a 180°.

<h3>Definición de triángulo rectángulo</h3>

El triángulo rectángulo es una figura geométrica que se considera como un polígono formado por tres lados que forman un ángulo recto y dos ángulos agudos.

En otras palabras, el triángulo rectángulo es aquel que tiene un ángulo interior que es recto, es decir, mide 90º.

<h3>Valor del ángulo faltante en este caso</h3>

En este caso, sabes que:

Al ser un triángulo rectángulo, un ángulo interior mide 90°.
Otro ángulo interior mide 25°.
La suma de los ángulos interiores es igual a 180°.

Entonces, el valor del ángulo faltante se puede calcular mediante:

90° + 25° + ángulo faltante= 180°

Resolviendo:

115° + ángulo faltante= 180°

ángulo faltante= 180° - 115°

<u><em>ángulo faltante= 65°</em></u>

Finalmente, el valor del ángulo que falta de un triángulo rectángulo es 65°.

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2 years ago