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telo118 [61]
3 years ago
9

In a right triangle, one leg is 20 cm and the hypotenuse is 30 cm. To the nearest hundredth of a cm, find the length of the miss

ing leg. Formula and diagram required. Include units in your answer.
Mathematics
2 answers:
madreJ [45]3 years ago
6 0

Answer:

22.36

Step-by-step explanation:

For this question we need to utilise Pythagoras theorem. Pythagoras theorem states that a² + b² = c² so the sum of the leg's squared will equal the hypotenuse squared. In this question we are given the hypotenuse so we will have to rearrange the equation to find the value of the leg,

→ a² + b² = c²

⇒ Substitute in the values

→ 20² + b² = 30²

⇒ Simplify

→ 400 + b² = 900

⇒ Minus 400 from both sides to isolate b²

→ b² = 500

⇒ Square root both sides to find the value of the leg

→ b = 22.360679775 cm

The length of the missing leg is 22.36 cm to nearest hundredth considering one leg is 20 cm and the hypotenuse is 30 cm.

max2010maxim [7]3 years ago
3 0

Answer:

Step-by-step explanation:

Use Pythagoras’ theorem

square of hypotenuse = sum of squares of two other sides

let the missing side be d

30^2 = 20^2 + d^2

600 = 400 + d^2

d^2 = 200

d = square root of 200

d = 14.142 cm

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In 2019, approximately 97.4% of all the runners who started the Boston Marathon (in Boston, Massachusetts, USA) were able to com
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Answer:

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Step-by-step explanation:

We are given that in 2019, approximately 97.4% of all the runners who started the Boston Marathon were able to complete the 42.2 km race.

100 runners are chosen at random.

The above situation can be represented through the binomial distribution;

P(X = x) = \binom{n}{r} \times p^{r} \times (1-p)^{n-r};x = 0,1,2,3,......

where, n = number of trials(or samples) taken = 100 runners

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Now, the probability that exactly 97 of them finished the marathon​ is given by = P(X = 97)

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