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Mars2501 [29]
3 years ago
6

4. What is the sum of trigonometric ratios Cos 16 and Cos 74?

Mathematics
1 answer:
harina [27]3 years ago
3 0

Answer:

1254.32

Step-by-step explanation:

add and subract

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Can you find a strategy for splitting any number so that you always get the largest product?
Alex

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.

6 0
3 years ago
The car owned by a person is part of his or her ____. a. investment assets b. liquid assets c. long term assets d. use assets Pl
yKpoI14uk [10]

Answer:

im pretty sure its D. use assets

Step-by-step explanation:

hope this helps:)

6 0
2 years ago
Given r(x) = x square +2x -1 and s(x) = x-1 what is the value of r(s(3))
Amanda [17]

Answer:

r(s(3))=7

Step-by-step explanation:

we have

r(x)=x^{2} +2x-1

s(x)=x-1

we know that

The function composition is equal to

(r ∘ s )(x) = r(s(x))

In the function r(x) substitute the variable x by the function s(x)

so

r(s(x))=(x-1)^{2} +2(x-1)-1

For x=3

substitute the value of x=3 in the function composition

r(s(3))=(3-1)^{2} +2(3-1)-1

r(s(3))=(2)^{2} +2(2)-1

r(s(3))=4+4-1

r(s(3))=7

3 0
3 years ago
Determine the quadrant(s) in which (x,y) is located so that the condition(s) is (are) satisfied.
polet [3.4K]

Quadrant 2 is the only one that can satisfy the condition. In there, x<0 and y>0

7 0
3 years ago
Billy’s gave his dad 1/2 of his cookie. How much did billy have left to eat
Ugo [173]

Answer:

literally just 1/2 of the cookie left

4 0
3 years ago
Read 2 more answers
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