Answer:
Step-by-step explanation:
Hope this helps if im wrong im dum:-:
Answer:
A(t) = 27.86 in²
Dimensions of the paper:
L = 3.73 in
w = 7.47 in
Step-by-step explanation:
The total area of a rectangular page A = ( x + 2)* (y + 4 ) x is the length and y the wide. x and y are the dimensions of the print area
The print area of the paper is A = 6 in² 6 = x*y y = 6/x
Then print area as a function of x is
A(x) = ( x + 2 ) * ( 6/x + 4 ) ⇒ A(x) = 6 + 4*x + 12/x + 8
Taking derivatives on both sides of the equation:
A´(x) = 4 - 12/x² A´(x) = 0 4 = 12 /x²
x² = 12/4 x =√3 x = 1.73 in and y = 6 / 1.73
y = 3.47 in
Then the dimensions of the paper are.
Length L = x + 2 = 3.73 in and w = 3.47 + 4 = 7.47 in
And the least amount of paper is
A(t) = 3.73* 7.47 = 27.86 in²
To find out if x = 1.73 is an x coordinate for a minimum we get the second derivative
A´´(x) = 24/x³ is always positive A´´(x) > 0 then we have a minimum for A at x = 1.73
Answer:
For 7, r=4.1, and for 8, r = 8.7
Step-by-step explanation:
r is the distance from the center point to anywhere in the circle, meaning that (assuming C is the center point), You just take the length of the side from C to the other points in the circle.
Answer: 24 mi
Step-by-step explanation:
Let the points A, B, C and S represent Alba, Blare, Cray and Service station respectively,
Then According to the question,
We have to find out the line segment CS = x = ?
Now, In the triangles ACB and CSB,
( Right angles )
( Reflexive angles )
Thus, by AA similarity postulate,
By the property of similar triangles,
Thus, the length of the new road = 24 miles
Answer:
k = 9/8
y = 9/8x
Step-by-step explanation:
45/40 = 9/8
To check:
40 * 9/8 = 45
Hope this helps!
