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Allushta [10]2 years ago

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In a circle with a radius of 8 ft, an arc is intercepted by a central angle of 3π4 radians.

sineoko [7]

We know that

the length of a circumference=2*pi*r
for r=8 ft
the length of a circumference=2*pi*8---------> 16π ft

if 2π radians (full circle)-------------------> has a length of 16π ft
3π/4 radians-------------------------------> X
X=3π/4*16π/2π-------------> X=6π<span> ft

the answer is
6</span>π ft

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Evaluate the expression 11C4.

kicyunya [14]

The correct answer is: 330

Explanation:

The formula for combination is given as follows:

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$^nC_r = \frac{n!}{r! (n-r)!} \\ ^{11}C_{4} = \frac{11!}{4! (11-4)!} \\ ^{11}C_{4} = \frac{11*10*9*8*(7!)}{4! (7)!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4!} \\ ^{11}C_{4} = \frac{11*10*9*8}{4*3*2*1} \\ ^{11}C_{4} = 330 \\$

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