Can someone explain this I don't understand. 8x + 18 - x - 9
2 answers:
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The value of the cosine ratio cos(L) is 5/13
<h3>How to determine the cosine ratio?</h3>The complete question is added as an attachment
Start by calculating the hypotenuse (h) using
h^2 = 5^2 + 12^2
Evaluate the exponent
h^2 = 25 + 144
Evaluate the sum
h^2 = 169
Evaluate the exponent of both sides
h = 13
The cosine ratio is then calculated as:
cos(L) = KL/h
This gives
cos(L) =5/13
Hence, the value of the cosine ratio cos(L) is 5/13
Read more about right triangles at:
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Answers:
P(A) = 7/12
P(B) = 1/4
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Explanation:
Instead of having one die, let's say we have two dice. I'll make one red and the other blue.
I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.
Using that table, we can see the following:
- There are 6 copies of "7"
- There are 5 copies of "8"
- There are 4 copies of "9"
- There are 3 copies of "10"
- There are 2 copies of "11"
- There is 1 copy of "12"
In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.
This is out of 36 ways to roll two dice.
Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12
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If a number is divisible by 4, then it is a multiple of 4.
The multiples of 4 found in the table are: 4, 8, 12
We have
- 3 copies of "4"
- 5 copies of "8"
- 1 copy of "12"
This gives 1+5+3 = 9 values that are a multiple of 4
P(B) = 9/36 = (1*9)/(4*9) = 1/4
