The dimensions for this rectangle are b= 30 ft and h=20 ft.
<h3>Perimeter</h3>
The perimeter of a geometric figure is the sum of its sides.
The question gives:
- the geometric figure - rectangle
- the total perimeter - 120 ft
Therefore for the perimeter, you have
P=
+ h+ h +h
P=2b+3h
2b+3h=120 (1)
From equation 1, you can write:
2b=120-3h
b=
b= 60 -
(2)
The area for the rectangle is given by A= bh. Therefore, by replacing (2) in the formula for rectangle area, you have:

The maximum area will be calculated from the derivation of the previous equation of area.

The maximum area can be found when the first derivative is equal to zero. Thus,
60-3h=0
-3h=-60 *(-1)
3h=60
h=20
Now, you know the height and from equation 2 (b= 60 -
) you can find the base.
b= 60 -
b=60 - 3*10
b=60-30
b=30
Read more about the First Derivative Test here:
brainly.com/question/6097697
#SPJ1
Answer:
Step-by-step explanation:
We have pairs (5, 2550) and (8, 3300)
<u>Find the rate of change:</u>
- (3300 - 2550)/(8 - 5) =
- 750/3 =
- 250
$250 is the amount added to savings account every month
<u>Initial amount was:</u>
- 2550 - 5*250 =
- 2550 - 1250 =
- 1300
<u>Since the change is linear and we have y-intercept and slope, we can show the amount after x months as:</u>
A general equation of a linear function is expressed as y = mx + b where m represents the slope and b is the y-intercept. The slope is the rate of change of y with respect x which is equal to 4 for this problem. The y-intercept represents the value when x is equal to zero. It is the initial value of y. In this case, it is equal to $1,000. The linear equation would be:
y = 4x + 1000
assuming y is the income and x is the consumption.
At an income (y) equal to $20,000, we can calculate for the consumption.
20000 = 4x + 1000
19000 = 4x
x = 4750
Answer:
159.1
Step-by-step explanation:
The expression would be 10.4+13+8+112+15.7, which equals 159.1 which is the total weight.