Hi there! :)
<u>Answer:</u>
The area of the carpet is <u>3m²</u>.
Step-by-step explanation:
First off, the formula to calculate the area of a rectangle is this: A = L × W
Where "A" is the area, "L" the length and "W" the width.
Now that you have that, replace all the information you know in the equation in order to find the value of "A", which is what we are looking for:
- Just keep in mind that 1 1/2 is the same thing as 1.5
- The term "wide" is used to give the "width"
- The term "long" is used to give the "length"
A = L × W
A = 2 × 1.5
<u>A = 3</u>
There you go! I really hope this helped, if there's anything just let me know! :)
I want to say it is an acute angel
Answer:
first thing to do is combine like terms
now you would have -x-4=4
this is because you added -6x+5x
now you would add 4 to each side
now you would have-x=8
then you would divide the negative because x has to be positive
now you would have x= -8
that is your answer. if you any questions just ask :D
Step-by-step explanation:
The area of the triangle is
A = (xy)/2
Also,
sqrt(x^2 + y^2) = 19
We solve this for y.
x^2 + y^2 = 361
y^2 = 361 - x^2
y = sqrt(361 - x^2)
Now we substitute this expression for y in the area equation.
A = (1/2)(x)(sqrt(361 - x^2))
A = (1/2)(x)(361 - x^2)^(1/2)
We take the derivative of A with respect to x.
dA/dx = (1/2)[(x) * d/dx(361 - x^2)^(1/2) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(x) * (1/2)(361 - x^2)^(-1/2)(-2x) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(361 - x^2)^(-1/2)(-x^2) + (361 - x^2)^(1/2)]
dA/dx = (1/2)[(-x^2)/(361 - x^2)^(1/2) + (361 - x^2)/(361 - x^2)^(1/2)]
dA/dx = (1/2)[(-x^2 - x^2 + 361)/(361 - x^2)^(1/2)]
dA/dx = (-2x^2 + 361)/[2(361 - x^2)^(1/2)]
Now we set the derivative equal to zero.
(-2x^2 + 361)/[2(361 - x^2)^(1/2)] = 0
-2x^2 + 361 = 0
-2x^2 = -361
2x^2 = 361
x^2 = 361/2
x = 19/sqrt(2)
x^2 + y^2 = 361
(19/sqrt(2))^2 + y^2 = 361
361/2 + y^2 = 361
y^2 = 361/2
y = 19/sqrt(2)
We have maximum area at x = 19/sqrt(2) and y = 19/sqrt(2), or when x = y.
Answer:
be my bestie
Step-by-step: The surface area is the number of square units that fit into the square. As shown in the picture, the surface area of this square is 16 total square units. With a rectangle and square we can also get the surface area by multiplying width (W) x length (L).tep explanation: