Answer:
the answer is 68km.
Step-by-step explanation:
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:
A equação da reta é dada por: 
Step-by-step explanation:
Equação de uma reta:
A equação de uma reta tem o seguinte formato:

Em que a é o coeficiente angular e b é o coeficiente linear.
Coeficiente angular:
Com posse de dois pontos, o coeficiente angular é dado pela mudança em y dividida pela mudança em x.
A(-1, -2) e B(5,2)
Mudança em y: 2 - (-2) = 2 + 2 = 4
Mudança em x: 5 - (-1) = 5 + 1 = 6
Coeficiente angular: 
Então:

Coeficiente linear:
Substituindo um ponto na equação, encontra-se o coeficiente linear.
B(5,2)
Quando
. Então:



Então:

Answer:
Jeff has 70 dollars, he spends none of it. He still has 70 dollars.
Step-by-step explanation: