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Elena L [17]
3 years ago
13

What is the Hypotenuse of 12mi and 16mi

Mathematics
1 answer:
stich3 [128]3 years ago
4 0
20mi

H^2 = 12^2 + 16^2
H^2 = 144 + 256
H^2 = 400

H = square root of 400 = 20
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Step-by-step explanation:

REcall the following definition of induced operation.

Let * be a binary operation over a set S and H a subset of S. If for every a,b elements in H it happens that a*b is also in H, then the binary operation that is obtained by restricting * to H is called the induced operation.

So, according to this definition, we must show that given two matrices of the specific subset, the product is also in the subset.

For this problem, recall this property of the determinant. Given A,B matrices in Mn(R) then det(AB) = det(A)*det(B).

Case SL2(R):

Let A,B matrices in SL2(R). Then, det(A) and det(B) is different from zero. So

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So AB is also in SL2(R).

Case GL2(R):

Let A,B matrices in GL2(R). Then, det(A)= det(B)=1 is different from zero. So

\text{det(AB)} = \text{det}(A)\text{det}(B)=1\cdot 1 = 1.

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7 0
3 years ago
In a certain chemical, the ratio of zinc to copper is 4 to 19. A jar of the chemical contains 760 grams of copper. How many gram
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Help picture below problem 13
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The Pythagorean theorem is the idea that the sum of the two legs which are both squared is equal to the hypotenuse's length squared.

     *<em>look at the image I attached for a better explanation</em>

By looking at the picture, we are missing the leg's length, and by using the Pythagorean theorem, we get the equation

    ?^2+5^2 = 13^2\\?^2 + 25 = 169\\?^2 = 144\\? = 12

Thus the <u>missing side length is 12 cm</u>

Hope that helps!

8 0
2 years ago
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