Answer:
- parallel: 60 ft
- perpendicular: 30 ft
- area: 1800 ft^2
Step-by-step explanation:
Let x represent the length of fence parallel to the house. Then the length perpendicular is ...
y = (120 -x)/2
The area of the yard is the product of these dimensions, so is ...
A = xy = x(120-x)/2
This is the equation of a parabola that opens downward and has zeros at x=0 and x=120. The maximum (vertex) is on the line of symmetry, halfway between these zeros, at x=60.
The fence parallel to the house is 60 feet.
The fence perpendicular to the house is (120-60)/2 = 30 feet.
The area of the yard is (60 ft)(30 ft) = 1800 ft^2.
Answer:
Step-by-step explanation:
If the jacket was discounted at 25%, that means that you get 25% off, right? What it also means is that you are still paying 75%. To get to the price of the jacket on sale, multiply the price of the jacket by 75% (as a decimal):
290(.75) = 217.50
That's the price of the jacket when it is 25% off the original price. If Arianna got an additional 10% off that price, that means she got 10% off but is still paying 90%. To get to the final price that she paid, multiply the sale price of the jacket by 90% (as a decimal):
217.50(.90) = 195.75
That's what she paid in the end for the jacket (i guess not counting tax...?)
Answer:
-0.69 feet per second
Step-by-step explanation:
We have dx/dt = 2 ft/sec, and we want to determine dy/dt.
x and y are related by the Pythagorean Theorem.
x²+y²=16²
Differentiate both sides of this equation with respect to t to get
Divide both sides by 2y
When x = 5 ft, we have
x²+y²=16²
5²+y²=256
y²=256-25=231
therefore
y= 
=-0.69
The top of the ladder is sliding down (because of the negative sign in the result) at a rate of -0.69 feet per second.
Answer: Reggie will end up paying $9900 for the car.
Step-by-step explanation:
Down-payment = $1500
48 monthly payments x $175/month = $8400
Total cost = $1500 + $8400 = $9900
