Herrons formula:2S=a+b+c solve for b

Mathematics

2 answers:

True [87]3 years ago

5 0

Minus a and minus c from both sides

2S-a-c=b
b=2S-a-c

Firlakuza [10]3 years ago

4 0

Answer:

The value of the formula for b is $2S-a-c=b$ .

Step-by-step explanation:

Consider the provided formula.

$2S=a+b+c$

We need to solve the formula for b.

Subtract both sides by a.

$2S-a=a-a+b+c$

$2S-a=b+c$

Subtract both sides by c.

$2S-a-c=b+c-c$

$2S-a-c=b$

Hence, the value of the formula for b is $2S-a-c=b$ .

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If there are 17 green marbles in a jar of 65 marbles, what is the probability of drawing 2 green marbles at random without repla

erastovalidia [21]

Answer:

Option b) $\frac{17}{260}$

Step-by-step explanation:

We are given the following information in the question:

Total number of marbles = 65

Number of green marbles = 17

We have to find the probability of drawing 2 green marbles at random without replacement.

Formula:

$Probability = \displaystyle\frac{\text{Number of favourable outcomes}}{\text{Total number of outcomes}}$

$\text{P(Drawing 2 green marbles at random without replacement)} = \\\text{Probability of drawing }1^{st} \text{ green marble}\times \text{Probability of drawing }2^{nd} \text{ green marble}$

$\text{Probability of drawing }1^{st} \text{ green marble} = \displaystyle\frac{17}{65}\\\\\text{Probability of drawing }2^{nd} \text{ green marble} = \displaystyle\frac{16}{64}$