If a weight hanging on a string of length 5 feet swings through 6° on either side of the vertical, how long is the arc through which the weight moves from one high point to the next high point? \

  1.047 ft

Step-by-step explanation:

The length of an arc is given by ...

  s = rθ

where s is the arc length, r is the radius, and θ is the central angle in radians. Your arc subtends an angle of 12° = (12·π/180) = π/15 radians. The length of the arc is then ...

  s = (5 ft)(π/15) = π/3 ft ≈ 1.047 ft

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

8+10

step-by-step explanation:

you multiply 4 by 2 and 5 by 2