it equals <span>(−<span>12</span>)</span> because <span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>
Explanation:
The reference angle for <span>240∘</span> is <span>60∘</span> (since <span><span>240∘</span>=<span>180∘</span>+<span>60∘</span></span>)
<span>60∘</span> is an angle of one of the standard triangles with
<span><span>cos<span>(<span>60∘</span>)</span></span>=<span>12</span></span>
<span>240∘</span> is in the 3rd quadrant so (either by CAST or noting that the "x-side" of the associate triangle is negative)
<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span>cos<span>(<span>60∘</span>)</span></span></span>
<span><span>cos<span>(<span>240∘</span>)</span></span>=−<span><span>12</span></span></span>
Answer:
D
Step-by-step explanation:
Answer: The required scale factor of the dilation is 4.
Step-by-step explanation: Given that the parallelogram FGHJ was dilated and translated to form similar parallelogram F'G'H'J'.
We are to find the scale factor of the dilation.
From the graph, we note that
JH = 2 units and J'H' = 8 units.
We know that
Therefore, the scale factor of the given dilation is
Thus, the required scale factor of the dilation is 4.
Answer:
Neither
Step-by-step explanation:
To tell if lines are perpendicular or parallel just from the equations, you need to look at the slopes. So get the equations into slop-intercept form
(y = slope * x + y-intercept)
2x = 14 + y
-14 -14
2x - 14 = y OR y = 2x - 14
*So the slope of the first equation is 2*
4x + 2y = 10
-4x -4x
2y = -4x + 10
/2 /2
y = -4/2 + 10
*So the slope is -2*
For the lines to be parallel, the slopes have to be the same. For them to be perpendicular, the slopes have to be opposite (negative is the opposite of positive and vice versa) and reciprocal (A flipped fraction, so the reciprocal of 2 would be 1/2)
79years
Step-by-step explanation:
birth year minus the dearth yeah
