Answer:
(A)
Step-by-step explanation:
Given the equations:
Substitution simply means replacing the variable y in the second equation with its equivalent x+3 from the first equation.
Substitution of y into gives us:
The correct option is A.
What is a 6% pay increase to 62,900 annual salary
2 answers:
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1) We have that there are (52,3) ways to pick 3 cards out of 52 cards. Also, there are (4,3) ways to pick 3 kings out of the 4 total available kings in the deck. In essence, we need to have one of those ways to be the selected 3 cards. Hence, the probability is the ration (4,3)/(52,3). Computing this:
P=
The probability is very low but not negligible.
2) The Pascal triangle defines a recursive relationship. Hence, we would need to calculate all the binomial coefficients up to 51. Thus, it is not at all practical to use the Pascal Triangle to calculate the ways. It is easier to do the direct computation.
P=
The probability is very low but not negligible.
2) The Pascal triangle defines a recursive relationship. Hence, we would need to calculate all the binomial coefficients up to 51. Thus, it is not at all practical to use the Pascal Triangle to calculate the ways. It is easier to do the direct computation.
Answer:
See below for explanation
Step-by-step explanation:
A related question can be found at chegg. Find attached the diagram.
The triangle is a right angled triangle. The 3 sides are named opposite, adjacent and hypotenuse.
The opposite is the vertical side facing angle theta (θ)
The adjacent is horizontal side
The angle between opposite and adjacent = 90°
The hypotenuse is the longest side
The relationship between the 3 sides:
Hypotenuse² = opposite ² + adjacent²
The relationship between theta (θ)
and the lengths of the sides of the triangle:
Applying SOHCAHTOA in trigonometry
Sine ratio:
Sinθ = opposite/hypotenuse
Cosine ratio:
Cosθ = adjacent/hypotenuse
Tangent ratio:
Tanθ = opposite/adjacent
Applying the Pythagorean theorem to find the third side of the triangle
Hypotenuse² = opposite ² + adjacent²
Hypotenuse = 7, opposite = 4
adjacent² = Hypotenuse² - opposite ²
adjacent² = 7²-4² = 49-16
adjacent² = 33
Adjacent = √33
Write out the six trigonometric functions in exact form related to theta.
cosθ = adjacent/hypotenuse = (√33)/7
sinθ = opposite/hypotenuse = 4/7
tanθ = sinθ/cosθ = opposite/adjacent
sinθ/cosθ = 4/7 ÷ (√33)/7
= 4/7 × 7/(√33) = 4/(√33)
opposite/adjacent = 4/(√33)
tanθ = 4/(√33)
secθ = 1/cosθ = 1/(√33)/7
= 7/√33
cosecθ = 1/sinθ = 1/(4/7)
= 1×7/4 = 7/4
cotθ = 1/tanθ = 1/[4/(√33)]
cotθ =(√33)/4
