The coordinates of △ABC are A(12,8), B(10,18), C(4,16) . After a dilation, the coordinates are A'(6,4), B'(5,9), C'(2,8) A′(6,4)
gogolik [260]
Take note of that every single coordinate had their values divided by 2 after the dilation. Therefore, the scaling factor is 1/2, or .5
Answer:
Step-by-step explanation:
Right/left by 3 units because in the equation, it added 3. Right because it is positive and Right/Left because this represents the change in the x-axis.
Up/Down by 5 units because in the equation, it added 5. Up because it is positive and Up/Down because this represnts the change in the y-axis.
Actually, when you know 2 sides and an included angle, you use the Law of Cosines. (and we don't know if theta is an included angle).
Solving for side c
c^2 = a^2 + b^2 -2ab * cos(C)
c^2 = 36 + 16 - 2*6*4 * cos(60)
c^2 = 52 -48*.5
c^2 = 28
c = 5.2915
Using the Law of Sines
side c / sin(C) = side b / sin (B)
5.2915 / sin(60) = 4 / sin (B)
sin(B) = sin(60) * 4 / 5.2915
sin(B) = 0.86603 * 4 / 5.2915
<span><span>sin(B) = 3.46412
</span>
/ 5.2915
</span>
<span><span><span>sin(B) = 0.6546571451
</span>
</span>
</span>
Angle B = 40.894 Degrees
sin (A) / side a = sin (B) / side b
sin (A) = 6 * sin (40.894) / 4
sin (A) = 6 * 0.65466 / 4
sin (A) = .98199
angle A = 79.109 Degrees
angle C = 60 Degrees
The Northeast is a geographical region of the United States of America bounded to the North by Canada. The Northeast is one of 4 regions defined by the Census Bureau for the collection and analysis of statisitics. Hope that helped!!
Let's see what to do buddy...
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Reminder:
So we need to just Multiply above equations like this :
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And we're done.
Thanks for watching buddy good luck.
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