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Define x:
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Let the shorter piece be x.
Shorter piece = x
Longer piece = 6x
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Construct equation:
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x +6x =35
7x = 35
x =5
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Find the length:
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Shorter length = x = 5 feet
Larger length = 6x = 6(5) = 30 feet
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Answer: The shorter piece is 5 feet.
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Answer:
x = 8.39
y = 55.2
Step-by-step explanation:
9² + 1² - 2(9)(1)cos(50) = x²
x = 8.39
9/sin(y) = x/sin(50)
sin(y) = 0.8215200692
y = 55.23724927
Answer:
h = 
Step-by-step explanation:
Given
ba - ha = c ← factor out a from each term on the left side
a(b - h) = c ← divide both sides by (b - h)
a = 
Answer with step-by-step explanation:
Equation: x × 4 = y
This equation is true because if you look at the graph, multiply 4 by each x length and you will get the y length.
Hope this helped!
Answer:
6:41
Step-by-step explanation:
We know that the number of students going on the field trip is 6.
To find the total number of students, add the number of students going on the trip and the number of students staying at the school: 6 + 35 = 41
So the ratio of the number of students going on the field trip to the total number of students is 6:41