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The surface area of a cube is 384 cm2. Find its volume.

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Tutorialspoint

Updated on 10-Oct-2022 09:37:31

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Given: The surface area of cube = 384cm2 To find: We have to find the volume the cube. Solution: We know the surface area of the cube:SA of cube = 6a2   Where, 'a' is the side length of the cube. 384 = 6a2   384/6 = a2   64 = a2  ; √64 = a  ... Read More

What is agriculture practice?

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Tutorialspoint

Updated on 10-Oct-2022 09:37:31

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Agricultural practices mean a collection of principles to apply for farm production processes to get better agricultural products. Basically, they are practices used in agriculture to facilitate farming.Examples of Agriculture Practices are:1. Crop Rotation.2. Planting cover crops.3. Reducing or eliminating tillage.4. Applying integrated pest management.5. Integrating livestock and crops.6. Organic Farming.Read More

The sum of three consecutive integers is (-87). Find the three integers.

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Tutorialspoint

Updated on 10-Oct-2022 09:37:31

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Let the smallest integer be $x$.So the three consecutive integers are $x, x+1, x+2$.Now, according to the problem, $x + x + 1 + x + 2 = -87$$3x + 3 = -87$$3x = -87-3$$3x = -90$$x = \frac{-90}{3}$$x = -30$So the numbers are$x = -30$$x + 1 = -30 + 1 = -29$$x + 2 = -30 + 2 = -28$

What is fibrous root?

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Tutorialspoint

Updated on 10-Oct-2022 09:37:31

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A fibrous root system forms a dense network of roots that grow fairly close to the surface of the ground.It is generally formed by thin, moderately branching roots growing from the stem. It is the opposite of a taproot system as they do not penetrate as deeply into the soil ... Read More

Explain the standard ways of measurement.

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Tutorialspoint

Updated on 10-Oct-2022 09:37:31

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Measurement is defined as the act of measuring or the size of something. An example of measurement means the use of a ruler to determine the length of a piece of paper. An example of measurement is 15" by 25".A standard unit of measurement is a quantifiable language that helps everyone understand ... Read More

What is the meaning of semi-permeable membrane?

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Tutorialspoint

Updated on 10-Oct-2022 09:37:31

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A semipermeable membrane is a type of biological or synthetic polymeric membrane that is permeable to only certain molecules and not to all molecules which means that it allows certain molecules or ions to pass through it by diffusion.It can be both biological and artificial.1. Artificial semipermeable membranes include a ... Read More

What are the different shapes of Leave?

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Tutorialspoint

Updated on 10-Oct-2022 09:37:31

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Leaf shape can vary significantly. The most common shapes include elliptical, oval, truncate, lanceolate, and linear.                                                                                                    

What is levelling?

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Tutorialspoint

Updated on 10-Oct-2022 09:37:30

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Levelling is the process by which differences in height or elevation of objects or points on the earth's surface can be determined or adjusted between two or more points. It is widely used in cartography to measure geodetic height and in the construction of roads, bridges, railways, and airports.

$\\frac{2}{5}$ of the students of a class of 60 students like mangoes, whereas $\\frac{1}{3}$ of them like cherry and rest like orange. Find the fraction of total number of students like oranges.

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Tutorialspoint

Updated on 10-Oct-2022 09:37:30

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Given: $\frac{2}{5}$ of the students of a class of 60 students like mangoes, whereas $\frac{1}{3}$ of them like cherry and rest like orange. To find:  We have to find a fraction of the total number of students like oranges. Solution: Total number of students = 60 Number of students like ... Read More

Evaluate: $\\frac{1+tan^{2} A}{1+cot^{2} A}$

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Tutorialspoint

Updated on 10-Oct-2022 09:37:30

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Solution: Evaluate $\frac{1+tan^{2} A}{1+cot^{2} A}$ $ \begin{array}{l} \frac{1+tan^{2} A}{1+cot^{2} A}\ \ =\ \frac{sec^{2} A}{cosec^{2} A}\ \ =\frac{\frac{1}{cos^{2} A}}{\frac{1}{sin^{2} A}}\ \ =\frac{sin^{2} A}{cos^{2} A}\ \ =tan^{2} A \end{array}$

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