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3 years ago

The right triangle ABC is shown below. Find the missing side by using the Pythagorean theorem,if a=6ft and b=8ft

Mathematics

2 answers:

Liono4ka [1.6K]3 years ago

8 0

Answer:

c = 10 feet.

Step-by-step explanation:

c^2 = a^2 + b^2 (By the Pythagoras Theorem)

c^2 = 6^2 + 8^2 = 100

c + sqrt 100 = 10.

docker41 [41]3 years ago

4 0

Answer:

c = 10

Step-by-step explanation:

Using Pythagoras' theorem

The square on the hypotenuse of a right triangle is equal to the sum of the squares on the other 2 sides, that is

c² = a² + b² ← substitute values

c² = 6² + 8² = 36 + 64 = 100 ( take the square root of both sides )

c = $\sqrt{100}$ = 10

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Answer-

a. Probability that three of the candies are white = 0.29

b. Probability that three are white, 2 are tan, 1 is pink, 1 is yellow, and 2 are green = 0.006

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$\binom{19}{3} \binom{10}{2} \binom{7}{1} \binom{5}{1} \binom{6}{2}$

$=(\frac{19!}{3!16!}) (\frac{10!}{2!8!}) (\frac{7!}{1!6}) (\frac{5!}{1!4!}) (\frac{6!}{2!4!})$

$=(969)(45)(7)(5)(15)=22892625$

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$\binom{52}{9}=\frac{52!}{9!43!} =3679075400$

∴ P( 3 whites, 2 are tans, 1 is pink, 1 is yellow, 2 greens) =

$\frac{22892625}{3679075400} = 0.006$

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3 years ago

Read 2 more answers

The right triangle ABC is shown below. Find the missing side by using the Pythagorean theorem,if a=6ft and b=8ft​

The right triangle ABC is shown below. Find the missing side by using the Pythagorean theorem,if a=6ft and b=8ft