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3 years ago

Help plz with Algebra question I attached a file

Mathematics

1 answer:

astraxan [27]3 years ago

5 0

Answer:

x=4.63

Step-by-step explanation:

Area = (1/2) (base) (height)

20 = (1/2) (x+4) (x)

40 = x²+4x

x²+4x-40=0

Put in quadratic equation:

x= $\frac{-4(+/-)\sqrt{4^{2}-4(1)(-40) } }{2(1)}$

x= $\frac{-4(+/-)\sqrt{176} }{2}$

x=4.63324958071 or x=-8.63324958071

Since x can't be negative in this case we take our answer to be 4.63324958071, which rounds to 4.63

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Answer:

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3 years ago

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3 years ago

Alice and her friend Emma leave on different flights from the same airport. Alice's flight flies 100 miles due south, then turns

DaniilM [7]

9514 1404 393

Answer:

Emma's flight is farther from the airport

Step-by-step explanation:

Even without doing any detailed calculation, you can see on a graph that the larger turn Alice's flight makes keeps it closer to the airport.

Emma's flight is farther from the airport.

The distance can be calculated using the Law of Cosines. The angle of interest is the supplement of the turn angle. Since the leg distances are the same in each case, the only variable affecting the distance from the airport is the angle measure. Again, the larger the turn, the shorter the distance from the airport. If T is the turn angle, the distance is ...

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_____

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c² = a² +b² -2ab·cos(C)

where triangle sides are lengths a, b, c and angle C is opposite side c.

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3 years ago