A hot-air balloon is held at a constant altitude by two ropes that are anchored to the ground. One rope is 125 feet long and makes an angle of 64° with the ground. The other rope is 120 feet long. What is the distance between the points on the ground at which the two ropes are anchored?
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Apply the rules regarding the use of significant digits after all computations are complete.
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__________ ft.

What will be an ideal response?


97; 13

Mathematics

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Solve the problem.The radius r and height h of a cylinder are changing with time. At the instant in question,    and  At what rate is the cylinder's volume changing at that instant?

A. 0.25 cm3/sec B. 0.13 cm3/sec C. 1.01 cm3/sec D. 0.5 cm3/sec

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Identify the specified numbers.The real numbers in the following list:, -6, , 6.3, -0.83, 

A. , -6, 6.3, -0.83, 
B. -6, 6.3, -0.83
C. , -6, , 6.3, -0.83, 
D. , -6, 6.3, -0.83

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Find the absolute maxima and minima of the function on the given domain.  on the disk bounded by the circle  

A. Absolute maximum: 72 at    and    absolute minimum: 63 at    and  
B. Absolute maximum: 72 at    and    absolute minimum: 0 at  
C. Absolute maximum: 135 at    absolute minimum: 0 at  
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Express the statement as an equation involving the indicated variables.The area A of a triangle is one-half the product of its base b and its height h.

A. A = 2bh
B. A = (b + h)
C. A = bh
D. A = bh

Mathematics