25 POINTS PLS HELPPP WITH MATH
2 answers:
Answer:
1. 23.55 in
2. 102.36 mm
Step-by-step explanation:
The circumference of a circle is calculated by the formula: , where d is the diameter and r is the radius.
We can use this to answer both problems.
1. Since the diameter is 7.5 inches, then d = 7.5. Substitute this into the equation: . So, the circumference is 23.55 inches.
2. Here, the radius is 16.3 mm, so r = 16.3. Substitute this into the equation: . So, the circumference is 102.36 mm.
Hope this helps!
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The hurdle and runner form a right triangle (see attached picture) such that
sin(30°) = <em>h</em> / (5 ft)
and
cos(30°) = <em>x</em> / (5 ft)
where <em>h</em> is the height of the hurdle and <em>x</em> is the horizontal distance from where the runner jumps to the hurdle. So
<em>h</em> = (5 ft) sin(30°) = 5/2 ft = 2.5 ft
<em>x</em> = (5 ft) cos(30°) = (5√3)/2 ft ≈ 4.33 ft
