Answer:
28 square centimeters
Step-by-step explanation:
The area of a trapezoid (formula):
(a + b) ÷ 2 x h
Where a & b are the bases, and h is height.
Use formula with given measurements:
(9 + 5) ÷ 2 x 4 = 28
Area is measured in square centimeters
(centimeters in this case)
Therefore the area if the trapezoid is 28 cm^2
I really hope this helps!
Okay I don't know how much you already know so I will just try and explain everything.
For the first set of problems it says to determine if its a polynomial and what type of polynomial and its degree.
A term are things like x, y, xy, x^2, xy^2, 4xy^3, etc.
The way I remember is that if the variables or numbers are MULTIPLYING or DIVIDING then it is a term.
A polynomial is any expression with multiple terms such as x + y or 4xy^2 + 5z^3 - 4q so it is the ADDITION or SUBTRACTION of terms. Do you follow so far?
Okay next part asks about the degree. The degree of an expression is the highest exponent in the expression. So the degree of x would be 1 and the degree of x^2 + 4y^8 would be 8 since 8 is the highest exponent.
Now it asks about what type of polynomial it is. Monomial means there is ONE term. Binomial means there are TWO terms, Trinomial means THREE, and so on.
Okay now once you solved all of those first problems it asks to write in standard form.
Standard form for polynomials are the terms in descending degree order, meaning the term with the highest exponent goes first and then decreases from there.
The leading coefficient is just the coefficient of the term of the highest degree
EX: 5x^2 + 2x^3 + y in standard form would be 2x^3 + 5x^2 + y and the leading coefficient would be 2
Now the final set is just simplification of the polynomials. What you need to do is combine like terms. With addition it is pretty straight forward, however with subtraction many students mess up. What I suggest to do with subtraction is distribute the negative sign over the polynomial. If you are not sure what this means just ask and I'll try to comment.
I hope this helped and good luck!
In this item, we are informed that the order of the entries does not matter in determination the number of ways in which the Archie can choose for his party. Because the arrangement or order is not important, this type of problem uses the concept of COMBINATION.
The equation for combination is,
nCr = n!/((n - r)!(r!))
nCr is read as "combination of n taken r".
Substituting the known values to the equation,
15C6 = 15! / ((15 - 6)!(6!))
= 5005
Hence, there are 5005 ways in which Archee can choose the 6 entrees for his party.
Answer:
Tax amount = $15.00 x 0.06 =0.9
Total amount of the basketball = $15.00 x 1.06 = $15.90
