Answer:
sinθ = 5/13
Step-by-step explanation:
cosθ = adjacent/hypotenuse (or you could think of it as x/r)
cosθ = -12/13
adjacent = -12
hypotenuse = 13
opposite = ?
To get the opposite, we use the Pythagorean theorem
Now sub in the numbers:
opposite = 5
Now sinθ = opposite/hypotenuse
so sinθ = 5/13
As per the combination method, there are 15 different ways are possible for this situation.
Combination method:
Combination method also known as NCR is a formula of combination and arrangement, where the object's order does not matter so much.
Given,
Here we have to find the number of ways to be selected as the best student and another student is to be selected as a runner-up among the 6 students.
Here we know that that the value of
Total number of students = 6
Best student = 1
Runner - up = 1
So, as per the NCR formula, the value of n = 6 and the value of r = 2
Then the possible combinations are calculated as,
=> ⁶C₂ = 6! / 2!(6 - 2)!
=> ⁶C₂ = 6!/2!4!
=>⁶C₂ = 15
Therefore, the resulting number of ways is 15.
To know more about Combination method here.
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Answer:
$18.28
Step-by-step explanation:
Step one:
given data
Kate had a sum of money,she spent 1/8 of the money on a skirt and the remaining amount on a handbag
let the total money be x
so mathematically
x-1/8*x= 16
solve for x
x-x/8= 16
8x-x/8= 16
7x/8=16
cross multiply
7x= 8*16
7x=128
divide both sides by 7
x=128/7
x=$18.28
Answer: 21
Step-by-step explanation:
Let the consecutive odd numbers be represented by x and x+2. Therefore,
x × (x+2) = 483
x² + 2x = 483
x² + 2x - 483 = 0
x² + 23x - 21x - 483 = 0
x(x + 23) - 21(x + 23) = 0
(x - 21) = 0
x = 0 + 21
x = 21
The smaller integer is 21
The larger integer is 21 + 2 = 23.
