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:
Step-by-step explanation:
We want to know "probability that first is vowel AND second is vowel"
In probability theory, "AND" means Multiplication.
<em>Essentially we want to figure out probability of first drawn to be vowel and multiply that with probability second drawn is vowel as well.</em>
<em />
There are 5 vowels and total 12 letters, so
P (vowel) = 5/12
<u>For the second draw, there are STILL 12 letters and 5 vowels (since the first drawn is REPLACED)</u>. Hence, probability of 2nd vowel is the same. So:
P (vowel for 2nd draw) = 5/12
<em>Now we multiply them to get: 
</em>
Answer: $1935.56
Step-by-step explanation:
T.P=R.P-(12% of R.P)
R.P=$77.30 per 1m²
When m =5.35, m²=5.35²=28.6225
R.P= $(77.30×28.6225)
R.P=$2212.52
12.5% of R.P=0.125×$2212.52=$276.565
Therefore,
T.P = $2212.52-$276.565 = $1935.96
Note: T.P is Trade Price and R.P is Retail Price.
Hope this helps?
A secured credit is secured by something else. An example is that a home mortgage is secured by the home.
