Answer:
a)
, b) ![A_{w} = 106.2\,m^{2}](https://tex.z-dn.net/?f=A_%7Bw%7D%20%3D%20106.2%5C%2Cm%5E%7B2%7D)
Step-by-step explanation:
a) The floor area of the pool is:
![A_{f} = (10\,m)\cdot (12\,m)+(18\,m)\cdot (16.03\,m)](https://tex.z-dn.net/?f=A_%7Bf%7D%20%3D%20%2810%5C%2Cm%29%5Ccdot%20%2812%5C%2Cm%29%2B%2818%5C%2Cm%29%5Ccdot%20%2816.03%5C%2Cm%29)
![A_{f} = 408.54\,m^{2}](https://tex.z-dn.net/?f=A_%7Bf%7D%20%3D%20408.54%5C%2Cm%5E%7B2%7D)
b) The total area of the walls of the pool is:
![A_{w} = 2\cdot (0.9\,m)\cdot (16\,m) + (0.9\,m)\cdot (16\,m) + (18\,m)\cdot (1.8\,m)+ 2\cdot (12\,cm)\cdot (0.9\,m)+(10\,m)\cdot (0.9\,m)](https://tex.z-dn.net/?f=A_%7Bw%7D%20%3D%202%5Ccdot%20%280.9%5C%2Cm%29%5Ccdot%20%2816%5C%2Cm%29%20%2B%20%280.9%5C%2Cm%29%5Ccdot%20%2816%5C%2Cm%29%20%2B%20%2818%5C%2Cm%29%5Ccdot%20%281.8%5C%2Cm%29%2B%202%5Ccdot%20%2812%5C%2Ccm%29%5Ccdot%20%280.9%5C%2Cm%29%2B%2810%5C%2Cm%29%5Ccdot%20%280.9%5C%2Cm%29)
![A_{w} = 106.2\,m^{2}](https://tex.z-dn.net/?f=A_%7Bw%7D%20%3D%20106.2%5C%2Cm%5E%7B2%7D)
Answer:
C) Prove that opposite sides are congruent and have equal slopes.
Step-by-step explanation:
Reasons:
1) In a parallelogram opposite side are equal and parallel
2) Parallel lines have same slope
Hi there!
The general formula to find the perimeter of a rectangle is :
P = (Length × 2) + (Width × 2)
Let's say the width of the rectangle is "x".
The lenght of the rectangle is equal to 2x + 4.2
Replace everything you know in the formula :
42.6 = ((2x + 4.2) × 2) + ((x) × 2)
Simplify everything :
2x × 2 = 4x
4.2 × 2 = 8.4
x × 2 = 2x
42.6 = 4x + 8.4 + 2x
42.6 = 6x + 8.4
Isolate "x":
42.6 = 6x + 8.4
Subtract 8.4 from each side of the equation
34.2 = 6x
Divide each side of the equation by 6
5.7 = x
5.7cm = the width of the rectangle
Since the lenght of the rectangle is equal to 2 times the width of the rectangle plus 4.2 :
Length = (2 × 5.7) + 4.2
Length = 15.6cm
42.6 = (2 × 15.6) + (2 × 5.7) ? → YES
There you go! I really hope this helped, if there's anything just let me know! :)
It’d be increasing by 50 followers each year
Answer:
Good morning! The answer is 24x
Step-by-step explanation:
8 x 3 = 24
Just add the x!
_AnnieTheDreamGirl, 3/7/2022