Answer:
Step-by-step explanation:
Given triangles are similar, so we setup a proportion
(140-x)/81 = x/9
solving gives x = 14
AC = 140-x = 140-14 = 126
Answer:
x = 2
Step-by-step explanation:
(x + 50)/2 = 13x, first multiply both sides by 2
x + 50 = 26x, next subtract x from both sides
50 = 25x, finally divide both sides by 25
2 = x
Let
L---------> the length side of the box
W--------> the width side of the box
H-------> the height of the box
we know that
the surface area of the box is equal to
<u>Find the area of the base</u>
<u>Find the perimeter of the base</u>
<u>Find the surface area</u>
therefore
<u>the answer is</u>
the total area of the box that will be covered in gift wrap is 
Let x = the length of the rectangle
Let w= the width
Two sections are required, hence 2w of fence required
2x+3w=500
this can be written as:
3w=1500-2x
w=(1500-2x)/3
Area=x*w
replacing w with our expression:
A=x(1500-2x)/3
A=(500x-2x^2)/3
This is a quadratic equation, if we find the axis of symmetry we will know what value of x gives maximum area:
Axis of symmetry: x=-b/2a
From our equation we get:
a=-2/3; b=1500/3
thus
x=(1500/3)/(-(-2/3))
x=750
thus the maximum area will be given by length of 750
The answer is C) 40
You would find this answer by using a formula.
