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Nesterboy [21]
3 years ago
8

A spinner of a board game can land on any one of three regions​ labeled: A,​ B, and C. If the probability the spinner lands on B

is five times that offive times that of ​A, and the probability the spinner lands on C is three times that ofthree times that of ​A, find the probability the spinner lands on A.
Mathematics
1 answer:
Inga [223]3 years ago
3 0

Answer: 1/9

Step-by-step explanation:

Let's call x the probability of landing in A

So, probability of landing on B is 5x and probability of landing on C is 3x.

As we only have this options, the probabilities A + B + C = 1. So,

x + 5x + 3x = 1

9x = 1

x = 1/9

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Use the diagram, which is not drawn to scale to find AD if you know that AC=24 & BC=12
Firdavs [7]

Answer:

Option b. AD=18\ units

Step-by-step explanation:

step 1

In the right triangle ABC

<em>Find the sine of angle CAB</em>

sin( ---> the sine of angle CAB is equal to divide the opposite side angle CAB (BC) by the hypotenuse (AC)

substitute

sin(

simplify

sin( ---->equation A

step 2

In the right triangle BDC

<em>Find the sine of angle CBD</em>

sin( ---> the sine of angle CBD is equal to divide the opposite side angle CBD (DC) by the hypotenuse (BC)

substitute

sin( ----> equation B

step 3

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional and its corresponding angles are congruent

In this problem

Triangles ABC and BDC are similar by AA Similarity Theorem

therefore

m∠CBD≅m∠CAB

equate equation A and equation B

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step 4

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