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Vilka [71]
2 years ago
14

Michael is an art elective programme student who

Mathematics
1 answer:
Elena L [17]2 years ago
4 0

Answer:

Step-by-step explanation:

find the prime factors of given numbers:

126= 2*3*3*7- this side can be cut into any number here or combination of numbers as per factors

108= 2*2*3*3*3 - same as above

As per prime factors, the squares can be of  sizes:

2×2, 3×3, 6×6, 9×9 and 18×18

The least number can be obtained with the biggest size option 18×18, this will give 7*6=42 square

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Consider the figure
Alex Ar [27]

Answer: 72 degrees for a, 108 degrees for b

Step-by-step explanation: Since the ratio of a to b is 3 to 2, 3x+2x would be 180 degrees. Performing addition and division, we would get 36 for x, and substituting it would get 72 degrees for a and 108 degrees for b. Hope this helps! (Could I please have brainliest?)

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4 years ago
What is the area of the square adjacent to the third side of the triangle?
lana66690 [7]

Answer:

The area of the square adjacent to the third side of the triangle is 11 units²

Step-by-step explanation:

We are given the area of two squares, one being 33 units² the other 44 units². A square is present with all sides being equal, and hence the length of the square present with an area of 33 units² say, should be x² = 33 - if x = the length of one side. Let's make it so that this side belongs to the side of the triangle, to our convenience,

x² = 33,

x = \sqrt{33} .... this is the length of the square, but also a leg of the triangle. Let's calculate the length of the square present with an area of 44 units². This would also be the hypotenuse of the triangle.

x² = 44,

x = \sqrt{44} .... applying pythagorean theorem we should receive the length of a side of the unknown square area. By taking this length to the power of two, we can calculate the square's area, and hence get our solution.

Let x = the length of the side of the unknown square's area -

\sqrt{(44)}^2 = x^2 + \sqrt{33}^2,

x = \sqrt{11} ... And \sqrt{11} squared is 11, making the area of this square 11 units².

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