Answer:
1. wire is approx. 143.96 ft
2. pole is approx. 106.55 ft
Step-by-step explanation:
Mapping the information on the SOHCAHTOA picture below:
Φ = 46
wire = hypotenuse
adjacent side = 100
CAH is most suitable:
cos 46° = 100/wire => wire = 100/cos 46 ≈ 143.96
pole = opposite side + 3
TOA is most suitable:
tan 46° = (pole-3)/100 => pole = 3 + 100 * tan 46 ≈ 106.55
Answer:
<h3>A reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.</h3><h3>
Step-by-step explanation:</h3>
We know that the first transfomration is a rotation 90° clockwise.
Notice that vertex R is at the same horizontal coordinate than vertex C, which means the second transformation must include a reflection across the line x=3, a reflection across the x-axis and a dilation with a scale factor of 2, because each side is double.
Answer:
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Step-by-step explanation:
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20100 = 16000 * (1.02)^ t
20100/16000 = 1.02^t
1.25625 = 1.02^t
log 1.25625 = t * log 1.02
t = log 1.25625 / log 1.02
= 11.5
Answer:
74/100 OR 37/50
Step-by-step explanation:
First add everyone together since its asking for no cold / everyone.
41 + 15 + 12 + 5 + 21 + 6 = 100
Then add to gether the total of people without a cold.
41 + 12 + 21 = 74
Next you just put the ratio in order which in this case would be no cold / everyone then if possible simplify.
74/100 = 37/50
