How to solve 4x-y=3 3x+y=4 using subsitution
1 answer:
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Given:
Volume of Large cube = 1 cubic unit
Volume of small cube = cubic unit
To find:
The difference between the edge length of the large cube and the edge length of the small cube.
Solution:
Let the edges of large and small cubes are and
respectively.
We know that, volume of a cube is
Volume of Large cube = 1 cubic unit
Taking cube root on both sides, we get
So, edge of large cube is 1 unit.
Volume of small cube = cubic unit
Taking cube root on both sides, we get
So, edge of large cube is unit.
Now, difference between them is
Therefore, the difference between the edge length of the large cube and the edge length of the small cube is unit.
In a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
<h3>How to explain the reason</h3>ACF is a 30º-60º-90º triangle because of the following reasons;
Based on a theorem, in a 30°-60°-90° triangle, it is said that the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg,
1 → short leg = 1
2 → hypotenuse = 2
√3 → long leg = √3
Using the Pythagorean theorem., we have that
a² + b² = c²
1² + b² = 2²
b² = 2² - 1²
b² = 4 - 1
b² = 3
√b² = √3
b = √3
Thus, in a 30°-60°-90° triangle, the length of the longer leg is √3 times the length of the shorter leg and length of the hypotenuse is twice the length of the shorter leg.
Learn more about Pythagorean theorem here:
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