Answer:
(x, y) = (7, 4) meters
Step-by-step explanation:
The area of the floor without the removal is x^2, so with the smaller square removed, it is x^2 -y^2.
The perimeter of the floor is the sum of all side lengths, so is 4x +2y.
The given dimensions tell us ...
x^2 -y^2 = 33
4x +2y = 36
From the latter equation, we can write an expression for y:
y = 18 -2x
Substituting this into the first equation gives ...
x^2 -(18 -2x)^2 = 33
x^2 -(324 -72x +4x^2) = 33
3x^2 -72x + 357 = 0 . . . . write in standard form
3(x -7)(x -17) = 0 . . . . . factor
Solutions to this equation are x=7 and x=17. However, for y > 0, we must have x < 9.
y = 18 -2(7) = 4
The floor dimension x is 7 meters; the inset dimension y is 4 meters.
Answer:
The standard error is 0.02849
Step-by-step explanation:
<u>Explanation:</u>-
given data is 42% of primary case doctors think their patients receive un-necessary medical care.
That is The proportion 'p' = 42% = 0.42
Given sample size is n =300
The standard error of the sampling distribution of the sample proportion is
use calculator on simplification , we get
standard error = 0.02849
Answer:
20 yards
Step-by-step explanation:
The area of a square is calculated by multiplying its height by its base. Because they are the same in a square, the area of a square is obtained by squaring one of its sides. Let's call the sides 'x'. Then we can express the area of the garden as x^2=400.
From here we simply need to square root both sides which gives us:
x=20
Therefore the length of one side of the garden is 20 yards.
Hope this helped!
This is called the pythagorean theorem: a^2 + b^2 = c^2.
Basically, the sum of one side squared + the side of another side squared = the length of the longest side (or hypotenuse).
We have to do the following math:
4 * 4 = 16
6 * 6 = 36
16 + 36 = 52.
We know that 52 = c^2
So we have to
to get 7.21
You do not agree with Ted.
Answer:
The answer is C. Lila made an error in Step 3 when she did not use the x- and y-coordinates from the same ordered pair.
Hope this helps!
Stay safe at home :)
(those of you doing edge hang in there!)
