The dimensions of the rectangular area of Tina's fence is 40 ft by 40 ft
<h3 />
<h3>Area of a rectangle:</h3>
where
l = length
w = width
She wants to create a rectangular area of 1,600 square feet for her pet . Therefore,
lw = 1600
Therefore,
perimeter = 160 ft
Then,
perimeter of rectangle = 2(l + w)
160 = 2(l + w)
l + w = 80
Let's combine the equations
lw = 1600
l + w = 80
l = 80 - w
Therefore,
w(80 - w) = 1600
80w - w² = 1600
Therefore,
w² - 80w + 1600 = 0
w² - 40w - 40w + 1600 = 0
w(w - 40) - 40(w - 40) = 0
(w - 40)(w - 40) = 0
w = 40 or 40
Therefore, the dimensions can be calculated as follows:
lw = 1600
40l = 1600
l = 1600 / 40
l = 40 ft
Therefore, the dimensions are 40ft by 40 ft
learn more on algebraic model here: brainly.com/question/4151078
Answer:
54.514 rev/min
Step-by-step explanation:
Data provided in the question:
Speed of the cable car = 12.65 miles per hour
Diameter of the rotating wheel, d = 6.5 feet
Now,
The speed of rotation of the wheel will be equal to the speed of the cable car
thus,
The speed of rotation of the wheel = 12.65 miles per hour
also,
1 miles = 5280 feets
1 hour = 60 minutes
Thus,
The speed of rotation of the wheel = 
= 1113.2 ft/ min
Circumference of the wheel = πd
= 6.5π feet
= 20.42 feet
Therefore,
The speed of rotation of the wheel in revolutions per minute
= 1113.2 ÷ 20.42 rev/min
= 54.514 rev/min
Answer: Shana bought 2 sodas.
Shana bought 5 bags of popcorn.
Step-by-step explanation:
Let S represent the number of sodas that Shana bought.
Let B represent the number of bags of popcorn that Shana bought.
Shana bought 7 things from the concession., all either sodas or bags of popcorn. This means that
S + B = 7
Sodas cost $3 each and popcorn cost $4 per bag. Shana spent a total of $26. This means that
3S + 4B = 26 - - - - - - - - - - - - -1
Substituting S = 7 - B into equation 1, it becomes
3(7 - B) + 4B = 26
21 - 3B + 4B = 26
- 3B + 4B = 26 - 21
B = 5
S = 7 - B = 7 - 5
S = 2
Answer:
B
Step-by-step explanation:
Hope this helped! please tell me if im wrong!
