What is the quotient (x3 – 3x2 + 3x – 2) ÷ (x2 – x + 1)?
2 answers:
We have to calculate the result of the division problem.
To determine the result, long division will be employed.
)
Initially, we quotient with x since fits into
, x times.
Thus, we have:
)
(x
After subtraction, we obtain:
We can see that fits into
, -2 times; therefore, the next addition to the quotient will be -2. This results in a final quotient of (x-2).
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Answer:
840
Step-by-step explanation:
As the arrangement matters, we apply the permutations formula to find the solution.
Permutations formula:
The count of possible arrangements of x items chosen from a total of n items is defined by this formula:
For this problem:
Jose occupies the first seat.
The other four can be arranged among the remaining 7 family members. Thus
Hence, the final answer is:
840
We are given the triangle
△ABC, with m∠A=60° and m∠C=45°, and AB=8.
To start, we will calculate all angles and sides.
Finding angle B:
The total of all angles in a triangle equals 180.
m∠A + m∠B + m∠C = 180.
Substituting the known values,
60° + m∠B + 45° = 180.
This gives us m∠B = 75°.
Calculating BC:
Using the law of sines,
We can substitute in the values.
Finding AC:
Now we'll input the values.
Calculating Perimeter:
We substitute values here as well.
Calculating Area:
Using the area formula,
we can then insert values.
...............Answer