Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
x = 37.5
Step-by-step explanation:
By Basic Proportionality Theorem:
8 times since 4x4x4=64 and 8x8x8=512
so 512/64 equals 8 so it's 8 times greater
<span>-Hope this helps :)</span>
I'm pretty sure the answer is the top right one because it looks really messed up. i mean, mi/hr*min doesn't equal mi, but im not too sure about the conversion part.
Answer:
8 possible outcomes
Step-by-step explanation:
I'm going to list all the possibilities and then count them up.
First Word is the wallpaper color, Second is the carpet color.
Red + Purple, Red + Yellow, Blue + Purple, Blue + Yellow, Yellow + Purple, Yellow + Yellow, Green + Purple, Green + Yellow
After counting them up, we get 8. Therefore there are 8 possible outcomes.
<u>Another way is to multiply the possible outcomes for each event together, and you can get the total number of outcomes. For example, in this problem there is 4 wallpaper colors and 2 carpet colors, so when u multiply them u get 8 total outcomes. Hope this helped!</u>
