The given details include: Height of the rectangular prism, h = 3 units, Surface area of the prism, A = 52 sq units. We need to determine the volume of the prism. The volume of a rectangular prism can be calculated using the formula: l = length and b = breadth. Given that the surface area of the prism, A = lb, we have it equal to 52 sq units. Consequently, the volume is 156 cubic units.
Dimensions of the rectangle are defined as Length=2x
Width=x
The formula for perimeter is given by 2(Length) + 2(Width).
First, we need to determine the dimensions of the rectangle, specifically its length and width.
We can derive this equation:
24=2(2x)+2(x)
4x+2x=24
6x=24
x=24/6
x=4
Consequently, Length becomes 2x, leading to 2(4)=8.
Therefore, the length is 8 inches and the width is 4 inches.
Next, we will calculate the area of the rectangle.
The area can be computed as Length multiplied by Width.
Area=(8 in)(4 in)=32 in²
Conclusion: The area of Marshall's rectangular poster is 32 in².
Respuesta:
Leslie determinó que el siguiente sistema de ecuaciones tiene infinitas soluciones. ¿Está en lo correcto?
x=4y-4
2x-8y=-24
A. Sí, Leslie está en lo correcto.
B. No, la solución es (-8,-24)
C. No, la solución es (0,-16)
D. No, el sistema de ecuaciones no tiene solución.
Explicación paso a paso:
debes resolverlo como un par de ecuaciones simultáneas y no hay soluciones
si necesitas una explicación más detallada, vuelve a publicar la pregunta y lo haré con gusto
por favor márcalo como el más útil
Given:
1 pack = 5 pencils and cardboard.
1 pack should weigh between 60 grams and 95 grams
60g < x < 95g; where x signifies 1 pack.
Cardboard: 15 grams.
95g - 15g = 80g represents the maximum total weight of 5 pencils.
80g / 5 = 16g is the maximum weight for a single pencil.
60g - 15g = 45g is the minimum total weight of 5 pencils.
45g / 5 = 9g is the minimum weight for a single pencil.
9 < x < 16; where x represents a single pencil in the pack.
If an odd number is required, it is more likely to be 29 times rather than 28
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