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Sergio [31]
3 years ago
15

Brenda+said+that+5/2+divided+by+1/4+equals+10.+how+do+you+know+without+dividing+whether+brenda's+statement+is+reasonable?+justif

y+your+answer+by+showing+how+to+find+quotient
Mathematics
1 answer:
Lapatulllka [165]3 years ago
6 0
<span>Brenda would be correct, another way to find the answer would be to use the keep change flip method. Where you keep 5/2 change division to multiplication then flip 4/1. The equation would then be 5/2 * 4/1 then you just multiply straight across 5*4 = 20 and 2*1 equals 2. You end up with 20/2 which reduces to 10</span>
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2 years ago
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This case has NO solutions.

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Notice that you are in a case of an obtuse triangle (one of its angles is larger than 90 degrees), the side opposite to the obtuse triangle is shorter than the side adjacent to the angle, so no actual triangle can be formed.

This can be found by simply trying to apply the Law of Sines to solve for the value of angle "B" opposite to side "b":

\frac{sin(A)}{a} =\frac{sin(B)}{b}\\sin(B)=\frac{b\,sin(A)}{a}\\sin(B)=\frac{9\,sin(112^o)}{4}\\\\sin(B)=2.086

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Therefore, there is no angle we can find to build a triangle with the given data.

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