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3 years ago

In the figure, TU is tangent to the circle at point U. Use the figure to answer the questions.

Mathematics

2 answers:

kicyunya [14]3 years ago

7 0

Answer:

but isnt it 6in. RT*ST=TU^2

9*4=TU^2

36=TU^2 take the square root of both sides

6=TU

Step-by-step explanation:

tamaranim1 [39]3 years ago

4 0

(a)
$rs \times st = tu {}^{2}$
(b)
yes it is possible the formula is in part a, but we're given just the side rt and st, not rs, but not to worry we can get rs with subtraction. we can do 9-4=5 for rs. now we can plug in our values to find tu
$5 \times 4 = tu {}^{2}$
simplify with algebra
$\sqrt{20} = tu$
FINAL ANSWER
$2 \sqrt{5} = tu$

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Step-by-step explanation:

Let 'M' be the event of selecting males n(M) = 12

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$n(M) = 28C_{3} = \frac{28!}{(28-3)!3!} =\frac{28 X 27 X 26}{3 X 2 X 1 } = 3,276$

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The probability that all are male of choosing '3' students

$P(E) = \frac{n(M)}{n(S)} = \frac{12 C_{3} }{28 C_{3} }$

$P(E) = \frac{12 C_{3} }{28 C_{3} } = \frac{220}{3276}$

P(E) = 0.067 = 6.71%

Final answer:-

The probability that all are male of choosing '3' students

P(E) = 0.067 = 6.71%

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