19x-53 / x^2 + x + 2
You want to put a - ( 19 x / x^2 + x + 2 - 53/x^2 +x +2)
Let x = the width
then
2x = the length
:
The box dimensions: 2x by x by 4
Given the surface area:
2(2x*x) + 2(2x*4) + 2(x*4) = 220
:
4x^2 + 16x + 8x = 220
A quadratic equation:
4x^2 + 24x - 220 = 0
simplify, divide by 4
x^2 + 6x - 55 = 0
Factor
(x+11)(x-5) = 0
The positive solution is what we want here:
x = 5 ft is the width
then
2(5) = 10 ft is the length
:
Find the volume
10 * 5 * 4 = 200 cu/ft is the volume
Answer:
11 dimes, 17 nickels
Step-by-step explanation:
d + n = 28, put one variable by itself on a side, d = 28 - n
.10d + .05n = 1.95
Sub the first equation into the second
.10(28 - n) + .05n = 1.95
2.8 - .10n + .05n = 1.95
2.8 - .05n = 1.95
-.05n = -0.85
n = 17 nickels
d + 17 = 28
d = 11 11 dimes
Andrew can reach a maximum of 
high up the wall.
The right-angled triangle formed can be solved using the 
ratio. that is
where 
is the distance from the foot of the wall to the tip of the ladder where it rests on the wall. Substituting, and solving for , we get
Since Andrew can reach an extra 
above the point where the ladder rests against the wall, the maximum height Andrew can paint is
Another solved word problem on trigonometry can be found here: brainly.com/question/12146092
