PLEAAAAASE HELP MEEEE
2 answers:
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Mia is 13 years 4 months and 5 days old
The question is an illustration of bearing (i.e. angles) and distance (i.e. lengths)
The distance between both lighthouses is 5783.96 m
I've added an attachment that represents the scenario.
From the attachment, we have:
Convert to degrees
Convert to degrees
So, the measure of angle S is:
---- Sum of angles in a triangle
The required distance is distance AB
This is calculated using the following sine formula:
Where:
So, we have:
Make AB the subject
Hence, the distance between both lighthouses is 5783.96 m
Read more about bearing and distance at:
Answer:
(a)
(b)
(i)probability that the product of the two numbers is a prime number=7/64
(ii)probability that the product of the two numbers is not a perfect square=56/64
(iii)probability that the product of the two numbers is a multiple of 5 =15/64
(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64
(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64
Step-by-step explanation:
(a) 8-sided fair die implies each die can have outcomes 1,2,3,4,5.6,7,8 with equal chances.
To draw the possibility diagram of the product of the two numbers appearing on the die in each throw, we put the outcomes of both dies side by side and find the product of possible outcomes.
(b) probability= Number of outcome / Total number of outcomes
(i)probability that the product of the two numbers is a prime number=8/64=1/8
based on sample space, the prime numbers are 2,2,3,3,5,5,7,7
(ii)probability that the product of the two numbers is not a perfect square=56/64=7/8
based on sample space, only 1,4,9,16,25,36,49,64 are perfect square
(iii)probability that the product of the two numbers is a multiple of 5 =15/64
(iv)probability that the product of the two numbers is Less than or equal to 21 =40/64=5/8
(v) probability that the product of the two numbers is divisible by 4 or 6 =42/64=21/32