Answer:
6084 
.
Step-by-step explanation:
Please find the attachment.
We have been given that the home-office of Tri-star industries is made up of three square buildings, one for each department, with a triangular atrium in the middle. The area of the Plumbing building is 5,184 and the area of the A/C building is 900 .
We know that area of square is square of its side length. Since all building are squares, so to find the area of electrical building, we will use Pythagoras theorem.
We can see from our attachment that side length of electrical building is hypotenuse (c) of the right triangle.
Upon substituting our given information in Pythagoras theorem, we will get:
Therefore, the area of electrical building is 6084 square feet.
Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
Answer:
D
Step-by-step explanation:
Roots into factors:
x = -4 ----> (x + 4)
x = i -----> (x - i)
x = 5 -----> (x - 5)
(x + i)(x - 4)(x + 5)
(x - i)(x² - 4x + 5x - 20)
(x - i)(x² + x - 20)
x³ + x² - 20x - (ix² + ix - 20i)
x³ + (1 - i)x² - (20 + i)x + 20i
The radius is 22 for this , good luck my friend!!
