Aspeed of limit of 100 kilometers per hour is approximately equal to 62 miles per hour predict the following measures round your answers to the nearest whole number a. a speed limit in mph for a speed limit of 75 kph b. a speed limit in kph for a speed limit of 20 mph

a. 46.5 mph

b. 32.3 kph

Step-by-step explanation:

If the speed limit is 100 km/hour we and this equals 62 mile per hour we can determine how many kilometers is in miles and vice versa:

WE can do this as:

Therefore the 0.62 miles per kilometer

a) For 75 kph we can use the conversion we determine to convert to miles per hour:

It takes a speed limit of 46.5 mph for a 75 kph limit

b) For 20 mph we can use the conversion we determine to convert to kilometers per hour:

It takes a speed limit of 32.3 kph for a 20 mph limit

  5.   y=6; de=7; fg=8

  6.   x=4.2; jl=14.2; mn=13

step-by-step explanation:

when chords cross inside a circle, the product of the segment lengths is a constant.

5. dh×eh = fh×gh

  y = gh = dh×eh/fh = 3×4/2 . . . divide by the coefficient of gh

  y = 6

of course, the total chord length is the sum of the lengths of its segments.

  de = dh +eh = 3+4 = 7

  fg = fh +gh = 2+6 = 8

6. this problem works the same way as the previous one.

  x = lk = mk×nk/jk = 6×7/10 = 4.2

  jl = jk +lk = 10 +4.2 = 14.2

  mn = mk +nk = 6 +7 = 13

comment on chords and secants

you can think of the points h (problem 5) and k (problem 6) as points where the chords meet. a chord is part of a secant line, a line that intersects the circle in two points. one can also consider these points (h or k) to be the points where the respective secant lines meet.

then, the product that is a constant is the product of the distance from the meeting point (h or k) to one circle intersection with the distance from that meeting point to the other circle intersection. for problem 5, the constant is the product hd×he = hf×hg.

it turns out that this rule regarding the products of lengths to points of intersection is also true when the secants intersect outside the circle.

that is, you only need to remember one rule to work both kinds of problems.

step-by-step explanation:

most likely the answer is a.

alice wins if a total of 5 is rolled. finn wins if a total of 9 is rolled.