You instructor is considering the installation of a circular dart board with radius 5.1 on the office wall. instead of actually reading your papers, it has been suggested that grades be assigned by chance by dividing the board into three grade sectors and tossing a dart.

the area of an "a" sector with central angle 2.781⁰
the area of a "b" sector with central angle 1.54519⁰
the area of a "c" sector with central angle 112.128⁰

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

step-by-step explanation:

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the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet

for a it would be 24 children.

for b i don't understand the question. is it saying for each individual person they pick 5 reds to 7 greens or is it the whole group. clarify and i hope this can you.

step-by-step explanation: