Answer:
Step-by-step explanation:
4.
2ab cos C=a²+b²-c²
2×31×14 cos C=31²+14²-40²
868 cos C=961+196-1600=-443
cos C=-443/868
C=cos^{-1}(-443/868)≈120.688≈120.69°
5.
by sine formula
m∠B=180-(62+55)=180-117=63°

Answer:
4. C. 2oz
5. A. 20 Kilograms
6. C. Kilometers
<em>good luck, i hope this helps :)</em>
Notice the tickmarks on the graph, those two sides are equal, and those two angles are also equal, now, the (4x-10) side, is shared by both triangles above and below.
namely the triangles above and below have a [S]ide and then an [A]ngle and then a [S]ide in common, thus they're congruent by SAS.
what does that mean? well, it means that 8x-2 = 3x - 5, and you know the rest then.
though for some reason you put a line through the -, to make it 3x+5, so, dunno what it might be, but those sides are congruent either way.
Answer:
4,5
Step-by-step explanation:
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We are given with the equation <span>f(x) = ax3 + bx2 + cx + d
Substituting, (3,11)
</span><span>11= 27a + 9b + 3c + d
</span><span>@(5, 9)
</span><span>9 = 125 a + 25 b + 5c + d
@</span><span>(4, 10)
</span><span>10 = 64 a + 16 b + 4c + d
@inflection point, second derivative is equal to zero
</span><span>f'(x) = 3ax2 + 2bx + c
</span>f''(x) = 6ax + 2b = 0
when x is 4, 24 a + 2b = 0 or 12a + b = 0.
There are 4 equations, 4 unknowns: answer is
<span>0.5 x^3 - 6x^2 + 22.5 - 24 = 0</span>