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spayn [35]
3 years ago
8

If a, b, c are in A.P. show thata (b + c)/bc,b(c + a) /ca, c(a-b )/bcare in A.P.​

Mathematics
1 answer:
vfiekz [6]3 years ago
3 0

Answer:

Step-by-step explanation:

\frac{a(b+c)}{bc} ,\frac{b(c+a)}{ca} ,\frac{c(a+b)}{ab} ~are~in~A.P.\\if~\frac{ab+ca}{bc} ,\frac{bc+ab}{ca} ,\frac{ca+bc}{ab} ~are~in~A.P.\\add~1~to~each~term\\if~\frac{ab+ca}{bc} +1,\frac{bc+ab}{ca} +1,\frac{ca+bc}{ab} +1~are~in~A.P.\\if~\frac{ab+ca+bc}{bc} ,\frac{bc+ab+ca}{ca} ,\frac{ca+bc+ab\\}{ab} ~are~in~A.P.\\\\divide~each~by~ab+bc+ca\\if~\frac{1}{bc} ,\frac{1}{ca} ,\frac{1}{ab} ~are ~in~A.P.\\if~\frac{a}{abc} ,\frac{b}{abc} ,\frac{c}{abc} ~are~in~A.P.\\if~a,b,c~are~in~A.P.\\which~is~true.

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Three consecutive numbers are such that when they are taken in increasing order and multiplied by 2,3and 4 respectively, they ad
Ivenika [448]

Answer:

7 , 8 , 9

Step-by-step explanation:

Assume three consecutive number are,

x , (x+1) , (x+2)

Multiplied by 2 ,3 and 4 respectively

2x , 3(x + 1) , 4(x + 2)

Sum of all = 74

So,

2x + 3(x + 1) + 4(x + 2) = 74

2x + 3x + 3 + 4x + 8 = 74

9x + 11 = 74

9x = 63

x = 7

So,

x , (x+1) , (x+2)

7 , (7+1) , (7+2)

7 , 8 , 9

3 0
3 years ago
Please help me with this I’m not understanding please look at pic
belka [17]

Answer:

look for the missing angle

3 0
3 years ago
Read 2 more answers
Cool Scoops ice cream shop offers 42 different one-topping sundaes. If there are 7 flavors of ice cream, how many toppings are t
Maksim231197 [3]
I believe its A.6
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6 0
3 years ago
A quiz in statistics course has four multiple-choice questions, each with five possible answers. A passing grade is three or mor
nekit [7.7K]

Answer:

a) 0.0016

b) 0.0224

Step-by-step explanation:

If every question has 5 possible answers, the probability of getting the correct answer by guessing would be 0.20. The probability of getting an incorrect answer would be 0.80.

a)Find the probability she lucks out and answers all four questions correctly.

To do this, Allison would have to guess right the first, second, third AND fourth answers. Therefore, we have to multiply the probabilities:

0.20 x 0.20 x 0.20 x 0.20 = 0.0016

The probability that she answers all 4 questions correctly is 0.0016.

b) Find the probability that she passes the quiz.

To pass the quiz, she has to have three OR 4 correct answers:

  1. The probability that she has 3 correct answers is: 0.20 x 0.20 x 0.20 x 0.80 (since she has to have 1 correct answer and 1 incorrect one) = .0064.
  2. We already calculated the probability that she guesses 4 answers correctly: 0.0016.

Now, we have to sum up these two scenarios:

0.0064 + 0.016 = 0.0224.

Thus, the probability that she passes the quiz is 0.0224

3 0
3 years ago
The gift shop at manatee mall was having a clearance sale. Everything was marked down 30%. The original price of a manatee hat w
sergeinik [125]

Answer

Find out the what is the clearance price of a manatee.

To prove

As given

The gift shop at manatee mall was having a clearance sale.

Everything was marked down 30%.

The original price of a manatee hat was $12.

30 % is written in the decimal form.

= \frac{30}{100}

= 0.30

30% of the original price of a manatee = 0.30 × 12

                                                                 = $ 3.6

Clearance price = original price - 30% of the original price

                          = 12 - 3.6

                        = $ 8.4

Therefore the clearance price be $8.4 .

3 0
3 years ago
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