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faust18 [17]
2 years ago
8

Triangle ABC and triangle DEF are similar. What is the measure of side DF?

Mathematics
1 answer:
Marat540 [252]2 years ago
7 0
I am going to say 15 but I am not sure since there is no pic
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In a shipment of 56 vials, only 13 do not have hairline cracks. If you randomly select 3 vials from the shipment, in how many wa
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Answer: 27434

Step-by-step explanation:

Given : Total number of vials = 56

Number of vials that do not have hairline cracks = 13

Then, Number of vials that have hairline cracks =56-13=43

Since , order of selection is not mattering here , so we combinations to find the number of ways.

The number of combinations of m thing r things at a time is given by :-

^nC_r=\dfrac{n!}{r!(n-r)!}

Now, the number of ways to select at least one out of 3 vials have a hairline crack will be :-

^{13}C_2\cdot ^{43}C_{1}+^{13}C_{1}\cdot ^{43}C_{2}+^{13}C_0\cdot ^{43}C_{3}\\\\=\dfrac{13!}{2!(13-2)!}\cdot\dfrac{43!}{1!(42)!}+\dfrac{13!}{1!(12)!}\cdot\dfrac{43!}{2!(41)!}+\dfrac{13!}{0!(13)!}\cdot\dfrac{43!}{3!(40)!}\\\\=\dfrac{13\times12\times11!}{2\times11!}\cdot (43)+(13)\cdot\dfrac{43\times42\times41!}{2\times41!}+(1)\dfrac{43\times42\times41\times40!}{6\times40!}\\\\=3354+11739+12341=27434

Hence, the required number of ways =27434

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2 years ago
Given a and b are first quadrant angles, sin a=5/13 and cos b=3/5 evaluate sin (a-b)1) -33/652) 33/653) 63/65
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The correct option is -33/65.

The solution is given below:

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10 months ago
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Your answer is 0.6%.
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Step-by-step explanation:

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C) 2(60+10)=2(70)=140

Therefore, the correct answer is C. Hope this helps!

8 0
3 years ago
Is y= 1/2x -4 a linear equation
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Answer:

Yes

Step-by-step explanation:

Linear means a line, and x is not squared or anything in this equation. If you were to graph it, it would be a line.

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