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evablogger [386]
3 years ago
9

in an equilateral triangle prove that three times the square of one side is equal to the four times the square of one of its alt

itudes ques.no.16

Mathematics
1 answer:
KengaRu [80]3 years ago
6 0

Answer:

See below.

Step-by-step explanation:

Let the side have a length x units .

The triangle formed by an altitude  is a 30-69-90 triangle so the sides are in the ratio 2:1:√3   where √3 is the altitude. Therefore if the side of the triangle = x then altitude = √3  * x / 2   =   √3x/2.

So we need to prove that  3x^2 =   4 (√3x/2)^2.

Simplifying:-

4 (√3x/2)^2 =  4 *( 3x^2/ 4) = 3x^2. This completes the proof,


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2 years ago
Suppose you decided to keep flipping a coin until tails came up, at which
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Answer:

B. 6.3%

Step-by-step explanation:

For each time that the coin is tosse, there are only two possible outcomes. Either it comes up tails, or it does not. The probability of coming up tails on a toss is independent of any other toss. So we use the binomial probability distribution to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

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And p is the probability of X happening.

Fair coin:

Equally as likely to come up heads or tails, so p = 0.5

Probability that the first tails comes up on the 4th flip of the coin?

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4 0
3 years ago
7/9 ÷ 3/9 = ????????
Gennadij [26K]

7/9 ÷ 3/9 =

= (7•9)/( 3•9)

= 63/27 = 7/3

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1 year ago
Read 2 more answers
Evaluate the expression when y = 5.
Temka [501]
The answer to the question is B.14 because 3 + 5 + 6
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3 years ago
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