Answer:
i got D
Step-by-step explanation:
<u>sin 67</u><u> </u> = <u>sin</u><u> </u><u>5</u><u>2</u>
21 BC
BC=17.98
BC=18
Answer: slope, m = -1/2(coefficient of x in the equation
Step-by-step explanation:
y=-1/2x+4
We will compare the equation with the slope intercept equation ,
y = mx + c
Where y is the dependent variable
m is the slope
x is the independent variable
c is the intercept. This is where the line on the graph cuts the y axis
For y=-1/2x+4,
the intercept ,c is 4
Slope = m =-1/2
-1/2 is a negative slope because negative sign. This means the plotted line moves from up to down
Answer: The radius is 12.54 feet, and the diameter is 25.08 feet.
Explanation: By applying the circumference into the equation r = 
, we get r = 
which simplifies the radius. And since radius is half of diameter, we multiply by 2 to get the diameter as well to solve the other blank in the problem.
Hope this helps! :D
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.
