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Lera25 [3.4K]
2 years ago
15

Mr. Jackson has an empty pyramid and an empty prism. The base of the pyramid is congruent to the base of the prism, and their he

ights are equal. Determine the number of times Mr. Jackson must fill the pyramid with water and pour it into the prism in order to completely fill the prism with water.
Mathematics
1 answer:
IRISSAK [1]2 years ago
8 0
Answer:
Volume of water required to fill the pyramid is rd of the water required to fill the prism completely.
Step-by-step explanation:
Let Mr Jackson has an empty rectangular pyramid and rectangular prism.
Height and base of both are congruent.
So volume of rectangular pyramid

Volume of the rectangular prism = (Area of the base)(height)

[ Since ]


Therefore, amount of water required to fill the pyramid is rd of the water required to fill the prism completely.
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Answer:  x = 37

Explanation:

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5 0
2 years ago
Read 2 more answers
Please help would be appreciated
yKpoI14uk [10]

Answer:

The total volume of the whole figure is 576m³.

Step-by-step explanation:

First find the volume for the first figure.

Volume of a Rectangular Prism (formula): L•W•H

V = (15m)(12m)(2m)

V = 360m³

Now, find the volume for the second figure.

V = (6m)(12m)(3m)

V = 216m³

Finally, just add both volumes to find the total volume of the entire figure.

Vt = 216m³ + 360m³

Vt = 576m³

5 0
2 years ago
For the function given, state the middle line; f(t) = 40cos (80t + 20)
Digiron [165]

In the standard form of the equation

\\ \ f(t)=Acos[b(t\pm c)]+k\\ \\

The middle line =k

For our given problem

f(t) = 40cos (80t + 20)

On comparison we get k=0

Hence middle line=0

8 0
3 years ago
Si consideramos que el planeta Tierra tiene forma esférica y un radio de 6 371 km, ¿cuál es el área total del planeta Tierra?
vovikov84 [41]

Respuesta:

5.101 × 10⁸ km²

Explicación:

Primer paso: Información provista

Radio del planeta Tierra (r): 6371 km

Paso 2: Calcular el área del planeta Tierra

Si suponemos que el planeta Tierra tiene forma esférica, podemos calcular su área (A) usando la siguiente fórmula.

A = 4 × π × r²

A = 4 × π × (6371 km)² = 5.101 × 10⁸ km²

5 0
3 years ago
Consider the quadratic equation ax^2+bc+c=0, where a, b, c are rational numbers and the quadratic has two distinct zeros. If one
Katyanochek1 [597]
With rational coefficients (a, b and c), if one zero is rational, that means the discriminant is rational.  We can conclude that the other is also rational.
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3 years ago
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