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Aleonysh [2.5K]
3 years ago
11

Two concentric circles have radii 6 and 14. Find the length of a chord of the larger circle that is tangent to the smaller circl

e.
Mathematics
1 answer:
Vitek1552 [10]3 years ago
6 0

Answer:

Step-by-step explanation:

let 2x be the length of chord tangent to first circle.

so x=√(14²-6²)=√(14+6)(14-6)=√(20×8)=√160=4√10

length of chord=2x=2×4√10=8√10

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Answer:

<h2>The solution is -9 < x < 17.</h2>

Step-by-step explanation:

|x-4|<13.

The above equation means, whatever the actual value of x is, the value of (x - 4) must be greater than - 13 and less than 13.

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Since we know that the pancake mix has 5% of the daily allowance, which is 300 mg, we can just multiply 300 mg with 5 percent to get our answer.

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3 years ago
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\frac{1}{2} ( \frac{2}{3}  +  \frac{3}{4}) \\  =  \frac{1}{2}  ( \frac{2 \times 4}{3 \times 4}  +  \frac{3 \times 3}{4 \times 3} ) \\  =  \frac{1}{2} ( \frac{8}{12}  +  \frac{9}{12} ) \\  =  \frac{1}{2} ( \frac{8 + 9}{12} ) \\   = \frac{1}{2} ( \frac{17}{12} ) \\  =  \frac{1 \times 17}{2 \times 12}  \\  =  \frac{17}{24}
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