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Naddik [55]
3 years ago
9

Find the missing side of each right triangle. Side c is the hypotenuse. Sides a and b are the legs. Round your answers to the ne

arest tenth if necessary. b= 12 mi. C= 13 mi​
Mathematics
1 answer:
andre [41]3 years ago
5 0

Answer:5

Step-by-step explanation:

a2+b2=c2

a2+12squared=13 squared

169-144=a2

a2=25, now that we have 25 we have to find the square root which is 5.

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Answer:

4.27n+21.4

Step-by-step explanation:

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Ari said there are three possible outcomes when you spin this spinner twice: two reds, a yellow and a red, or two yellows.
EastWind [94]

Answer:

From inspection of the diagram, we can see that the spinner is divided into <u>4 equal parts</u>, where 3 parts are red and 1 part is yellow.

\sf Probability\:of\:an\:event\:occurring = \dfrac{Number\:of\:ways\:it\:can\:occur}{Total\:number\:of\:possible\:outcomes}

Therefore,

\implies \textsf{Probability of getting a red} = \sf \dfrac{3}{4}

\implies \textsf{Probability of getting a yellow} = \sf \dfrac{1}{4}

<u>Multiplication Rule for Independent Events</u>

For independent events A and B:

  • \sf P(A\:and\:B)=P(A) \times P(B)

Therefore,

\begin{aligned}\implies \sf P(yellow\:and\:yellow) & = \sf P(yellow) \times P(yellow)\\\\ & = \sf \dfrac{1}{4} \times \dfrac{1}{4}\\\\ & = \sf \dfrac{1}{16}\end{aligned}

<h3><u>Conclusion</u></h3>

Ari is incorrect.  The spinner is divided into 4 parts, where only one part is yellow.  Therefore, the probability of spinning a yellow is 1/4.  As the events are independent, the Multiplication Rule should be used to calculate the probability of spinning 2 yellows.  So the probability of spinning 2 yellows is 1/4 x 1/4 = 1/16.

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1 year ago
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