Using Pythagoras in the first question
c=

which is approximately 16.5
for the second question
we also use Pythagoras

Answer: Choice C. (x-7)(x-8)
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Find two numbers that...
* Multiply to 56 (last term)
* Add to -15 (middle coefficient)
Those two numbers are -7 and -8. So that's why x^2-15x+56 factors to (x-7)(x-8)
The answer would be 1.3843 x 10^4
Answer:
D. 647.8 miles per hour; S86.5°E
Step-by-step explanation:
We assume the wind direction is supposed to be S58°E. Then the bearing of the plane measured clockwise from north is 90°, and the direction the wind is blowing toward has a bearing of 122°. The resultant speed and direction is the sum of the two vectors, which is easily found using a suitable calculator:
583∠90° + 75∠122° = 647.8∠93.5°
The bearing of 93.5° translates to the direction S86.5°E.
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An angle east of south is subtracted from 180° (south) to find the equivalent bearing.