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o-na [289]
2 years ago
14

The perimeter of the base of a regular quadrilateral prism is 60 cm, the area of a lateral face is 105 cm2. Find: the volume of

the prism
Mathematics
1 answer:
Harman [31]2 years ago
5 0
Since the base is a regular quadrilateral, each of its 4 sides must have length
  s = P/4
  s = (60 cm)/4 = 15 cm

The area of one lateral face is the product of side length and height.
  A = s×h
  105 cm² = (15 cm)×h
Then the height of the prism is
  h = (105 cm²)/(15 cm) = 7 cm

The area of the base is then
  B = s²
  B = (15 cm)² = 225 cm²

The volume of the prism is the product of its base area and height.
  V = Bh
  V = (225 cm²)×(7 cm) = 1575 cm³


The volume is 1575 cm³.
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Answer:

22.5

Step-by-step explanation:

The answer is 22.5 because you convert 25% to a decimal which equals .25. To make the percent a decimal, you move it two times to the left.

Then multiply

90 • .25 = 22.5

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Area of circle = πr²

Find radius:
πr² = 1808.64
r² = 1808.64 ÷ π
r² = 575.71
r = √575.71
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Find Circumference:
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Answer: Circumference = 150.76 units
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3 years ago
1. De una encuesta realizada a 120 personas sobre el consumo de albaricoque, banana y coco se obtuvieron el siguiente resultado.
Pachacha [2.7K]

Answer:

El número de personas que consumen dos productos es 30.

Step-by-step explanation:

El primer paso para resolver el problema es realizar los gráficos de los eventos (agregaré como archivo adjunto el gráfico del ejercicio).

En el gráfico podemos ver 7 regiones :

A : Personas que consumen sólo albaricoque.

B : Personas que consumen sólo banana.

C : Personas que consumen sólo coco.

D : Personas que consumen sólo albaricoque y coco.

E : Personas que consumen las tres frutas (albaricoque, banana y coco).

F : Personas que consumen sólo banana y coco.

G : Personas que consumen sólo albaricoque y banana.

Ahora, debemos escribir las ecuaciones que nos brinda el ejercicio :

La encuesta se realizó a 120 personas y se sabe que todas las personas consumen un producto ⇒

A+B+C+D+E+F+G=120 (I)

''El número de personas que consumen sólo albaricoque y coco es la mitad de las que consumen sólo albaricoque''  ⇒

D=\frac{A}{2} (II)

''El número de personas que consumen sólo banana es el doble de las personas que consumen sólo albaricoque y banana más sólo banana y coco'' ⇒

B=2.(G+F) (III)

Finalmente : ''El número de personas que consumen sólo coco más los que consumen los tres productos es 30''  ⇒

C+E=30 (IV)

Finalmente obtenemos el siguiente sistema de ecuaciones :

A+B+C+D+E+F+G=120\\D=\frac{A}{2}\\B=2.(G+F)\\C+E=30

El número de personas que consumen dos productos es :

D+F+G

Entonces, resolvemos escribiendo la primera ecuación conmutando los términos :

A+B+C+E+D+F+G=120 (V)

De (II) se obtiene :

2D=A (VI)

Usamos (VI), (III) y (IV) en (V) ⇒

2D+2(G+F)+30+D+F+G=120  ⇒

2D+2G+2F+30+D+F+G=120

3D+3F+3G=90

Dividiendo esta última ecuación por ''3'' obtenemos :

D+F+G=30

Que es el número de personas que consumen dos productos.

Es muy conveniente seguir el desarrollo del ejercicio mirando el gráfico que adjunto.

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turn -0.05xy into (-y/20)x

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((-y/20)x=-20y)/-y/20

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x=400

TURKEY plan because 0.15(500)y+20y is 95y and 0.20(500)y+0y is 100y, meaning TURKEY would be cheaper.

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3 years ago
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