Answer: B. 34°
<u>Step-by-step explanation:</u>
∠RQS + ∠SQT = ∠RQT
9514 1404 393
Answer:
split the number into equal pieces
Step-by-step explanation:
Assuming "splitting any number" means identifying parts that have the number as their sum, the maximum product of the parts will be found where the parts all have equal values.
We have to assume that the number being split is positive and all of the parts are positive.
<h3>2 parts</h3>
If we divide number n into parts x and (n -x), their product is the quadratic function x(n -x). The graph of this function opens downward and has zeros at x=0 and x=n. The vertex (maximum product) is halfway between the zeros, at x = (0 + n)/2 = n/2.
<h3>3 parts</h3>
Similarly, we can look at how to divide a (positive) number into 3 parts that have the largest product. Let's assume that one part is x. Then the other two parts will have a maximum product when they are equal. Their values will be (n-x)/2, and their product will be ((n -x)/2)^2. Then the product of the three numbers is ...
p = x(x^2 -2nx +n^2)/4 = (x^3 -2nx^2 +xn^2)/4
This will be maximized where its derivative is zero:
p' = (1/4)(3x^2 -4nx +n^2) = 0
(3x -n)(x -n) = 0 . . . . . . . . . . . . . factor
x = n/3 or n
We know that x=n will give a minimum product (0), so the maximum product is obtained when x = n/3.
<h3>more parts</h3>
A similar development can prove by induction that the parts must all be equal.
Answer:
your answer should be 3 1/4
Step-by-step explanation:
Answer:
BC = 19.78
Step-by-step explanation:
using sin(x) rule
sin(54)= 16/BC
sin(54)=0.80
∴0.80=16/BC (divied both side by 0.80)
BC=16/0.80 =19.78
Approximately $ 31419 profit is earned from selling books in entire month
<em><u>Solution:</u></em>
Given that Jodie had sold 885 copies of her new book
At the end of the month, she had sold 1,364 copies of her book
We have to determine the profit earned in the entire month
From given information,
Start of month sale = 885 copies
End of month sale = 1364 copies
Total copies of books sold = Start of month sold + end of month sold
Total copies of books sold = 885 + 1364 = 2249
Also given that each book profit is $ 13.97
Profit of 1 book = $ 13.97
<em><u>Therefore for 2249 books, profit earned is given as:</u></em>
Profit of 2249 books = $ 13.97 x 2249 = 31418.53
Therefore approximately $ 31419 profit is earned from selling books in entire month
