Answer:
just typed the whole in mathaway.com
Step-by-step explanation:
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Answer: 
<u>Step-by-step explanation:</u>
Blue = 5, Red = 3, Green = 2, Total = 10
Probability = First draw and Second draw
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x
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The 3 in 24,345 has a value of 300. A number 10 times that would have a value of 300*10 or 3,000. The 3 in choice C has a value of 3,000 so C is the right answer.
<h3>
Answer: Approximately 119.76 meters</h3>
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Work Shown:
x = starting length of the shadow
y = height of the pole
tan(angle) = opposite/adjacent
tan(58) = y/x
1.6003345 = y/x
1.6003345x = y
x = y/1.6003345
x = (1/1.6003345)y
x = 0.62486936y
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When the angle changes, the adjacent side gets 90 meters longer
tan(angle) = opposite/adjacent
tan(36) = y/(x+90)
0.72654253 = y/(0.62486936y+90)
0.72654253(0.62486936y+90) = y
0.453994166y + 65.3888277 = y
65.3888277 = y-0.453994166y
65.3888277 = 0.546005834y
0.546005834y = 65.3888277
y = 65.3888277/0.546005834
y = 119.758478075162
y = 119.76
The height of the pole is about 119.76 meters.
Answer:
3; 4; 6; 1
Step-by-step explanation:
The base is 13 in each of the product factors, so the exponent of the product is the sum of the exponents of the factors:
- -11 +16 -3 +4 -5 = 1 . . . . matches option 3
- -21 -4 -5 +14 -6 = -22 . . . . matches option 4
- 33 -2 +5 -13 -8 = 15 . . . . matches option 6
- 0 +10 -12 +5 +4 = 7 . . . . matches option 1