Loralei's dance team wants to purchase new uniforms for their national dance competition. They will get 25% of their total cooki
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Consult the attached diagram.
In the larger triangle,
tan(16°) = (7250 ft) / (<em>x</em> + <em>y</em>)
and in the smaller triangle,
tan(26°) = (7250 ft) / <em>y</em>
You want to solve for <em>x</em>.
From the first equation (I'm ignoring units from here on, all distances are measured in ft), you have
(<em>x</em> + <em>y</em>) tan(16°) = 7250
<em>x</em> tan(16°) + <em>y</em> tan(16°) = 7250
<em>x</em> tan(16°) = 7250 - <em>y</em> tan(16°)
<em>x</em> = 7250 cot(16°) - <em>y</em>
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From the second equation,
<em>y</em> = 7250 cot(26°)
Solving for <em>x</em> gives
<em>x</em> = 7250 cot(16°) - 7250 cot(26°)
<em>x</em> = 7250 (cot(16°) - cot(26°))
<em>x</em> ≈ 10,433 ft
Answer:
Options A, C, D are true.
Step-by-step explanation:
We have to choose the pair of points from that given in the attached file which will result in a line with a rate of change i.e. slope of 2:1 i.e. 2.
A. The points are (-4,-11) and (-2,-7).
Then the slope of the joining line is
B. The points are (5,6) and (-5,12).
Then the slope of the joining line is
C. The points are (0,-3) and (-4,-11).
Then the slope of the joining line is
D. The points are (0,-3) and (5,7).
Then the slope of the joining line is
Therefore, options A, C, D are true. (Answer)