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.
La ganancia de Brad fue del 30%
Explicación adicional:
La ganancia es el dinero obtenido al vender un producto por encima de su costo original.
La fórmula para calcular la ganancia es:
Datos:
Precio de compra del paquete de bebidas energéticas = £9.25
Precio de venta por botella = £1
Precio total por 12 botellas = 1 * 12 = £12
Ganancia = Precio de venta - Precio de compra
= 12 - 9.25
= £2.75
Así, la ganancia de Brad fue de £2.75
Luego,
Porcentaje de ganancia = (Ganancia / Precio de compra) * 100
= (2.75 / 9.25) * 100
= 0.30 * 100
= 30%
La ganancia de Brad fue del 30%
Palabras clave: Ganancia, pérdida
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1. Selected Case B. 2. 9 cm³. 3. 20 cm. 4. 4.5 m³. Explanation: In question 1, we need to fit a drum with a volume of 14,000 cm³. The volume of a cylinder can be calculated via the formula πr²h. For Case A, with r = 100 mm (10 cm) and h = 300 mm (30 cm), the total volume is approximately 9424.78 cm³, insufficient for the given drum. Case B, with r = 200 mm (20 cm) and h = 30 cm, gives a volume of approximately 37699.11 cm³. Case C with r = 32 cm and h = 250 mm (25 cm) results in a volume of about 80424.77 cm³. The smallest volume among Cases B and C is Case B at 37699.11 cm³, thus it is the correct choice. For question 2, the dimensions of the speaker are Length = 45 cm = 0.45 m, Width = 0.4 m, Height = 50 cm = 0.5 m, leading to a volume of 0.09 m³ or 9 cm³. Question 3 involves a speaker with a volume of 30,000 cm³ with Length = 30 cm = 0.45 m and Height = 500 mm = 50 cm, requiring to find its Width: 30,000 = 30 × W × 50, hence W = 20 cm. For question 4, with dimensions of Base = 2 m, Length = 3 m, Height =1.5 m, the volume of the prism is calculated as 4.5 m³.
Answer:
Circle diameter = 1.6 Cm
Detailed explanation:
Information provided:
Distance from the first to the third coin = 3.2 cm
Question to solve:
What is the diameter of each coin?
Calculations:
Total number of circles = 3
According to the diagram, the space between the first and third coins measures 3.2 cm.
Thus,
Space = radius of the 1st circle + diameter of the 2nd circle + radius of the 3rd circle
Space = radius of the 1st circle + 2 (radius) + radius of the 3rd circle
Space = R + 2R + R
3.2 Cm = 4 R
Radius = 0.8 Cm
Diameter = 2 × radius
Diameter = 2 × 0.8
Diameter = 1.6 Cm
