Answer:
D
Todd paid $0.08 less per gallon of gasoline than Hope.
Answer:
Dimensions of the poster
Width 29.10 cm
Height 38.80 cm
A(min) = 1129.08 cm²
Step-by-step explanation:
Printed area = 390 cm² = Ap
Lets call x and y dimensions of printed area
x width
y height
Then Ap = x*y and
y = Ap/x ⇒ y = 390/x
Then total area of the poster is:
A(t) = ( x + 12 ) * ( y + 16 ) and y = 390/x
A as a function of x
A(x) = ( x + 12 ) * ( 390/x + 16 ) ⇒ A(x) = 390 + 16x + 4680/x + 192
A(x) = 582 + 16x + 4680/x (1)
Taking derivatives
A´(x) = 16 - (4680/x²) ⇒ A´(x) = 0
[ 16x² -4680] /x² = 0 16x²- 4680 = 0 ⇒ x² = 4680/16
x = 17.10 cm and y = 390/x y = 390/17.10 y = 22.80 cm
A(t) = ( 17.10 + 12 ) * ( 22.80 + 16 )
A(t) = 29.10 * 38.80
A(t) = 1129.08 cm²
If we substitute in equation (1) the value of x ( 17.10) we see A(x) > 0
Then there is a minimun at the point x = 17.10
Answer: A rectangle
Note: I am a bit confused between A), B), and C), but the answer I am going for is C).
Step-by-step explanation:
By definition, a cross-section is the intersection of a plane and a body of three dimensions.
A pentagonal prism has a pentagon as its base. and its lateral faces are rectangles.
If a plane perpendicular cuts the pentagonal prism to the base, this means that the plane is parallel to lateral faces, then, the shape of the cross-section that is formed is also a rectangle.
Answer:
OR 
Let's solve the equation step-by-step:
First, you must find the square root:
x = ± 
We know that 10 × 10 = 100 and -10 x -10 is 100
that means that the square root is either 10 or -10
And we also know that 
are both 100
meaning that x = OR
