Answer:
84
Step-by-step explanation:
You use the butterfly method:
360 24
___ ___
X 100
multiply 360 by 100 to get 36000
then divide by 24 to get 1500
Answer:
C) Trapezoid
Step-by-step explanation:
Given
![A = (0,0)](https://tex.z-dn.net/?f=A%20%3D%20%280%2C0%29)
![B = (4,8)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C8%29)
![C = (12,8)](https://tex.z-dn.net/?f=C%20%3D%20%2812%2C8%29)
![D=(16,0)](https://tex.z-dn.net/?f=D%3D%2816%2C0%29)
Required
The possible shape
The above are 4 vertices.
Hence, the shape cannot be
(a) Triangle ---- it has 3 vertices
(b) Pentagon ---- it has 5 vertices
Calculate distance AB using distance formula
![AB = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2)
Where:
![A = (0,0)](https://tex.z-dn.net/?f=A%20%3D%20%280%2C0%29)
![B = (4,8)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C8%29)
![AB = \sqrt{(0 - 4)^2 + (0 - 8)^2](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%280%20-%204%29%5E2%20%2B%20%280%20-%208%29%5E2)
![AB = \sqrt{( - 4)^2 + ( - 8)^2](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B%28%20-%204%29%5E2%20%2B%20%28%20-%208%29%5E2)
![AB = \sqrt{16+64](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B16%2B64)
![AB = \sqrt{80](https://tex.z-dn.net/?f=AB%20%3D%20%5Csqrt%7B80)
![AB = 8.94](https://tex.z-dn.net/?f=AB%20%3D%208.94)
Calculate distance BC using distance formula
![BC = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%28x_1%20-%20x_2%29%5E2%20%2B%20%28y_1%20-%20y_2%29%5E2)
Where:
![B = (4,8)](https://tex.z-dn.net/?f=B%20%3D%20%284%2C8%29)
![C = (12,8)](https://tex.z-dn.net/?f=C%20%3D%20%2812%2C8%29)
![BC = \sqrt{(4 - 12)^2 + (8 - 8)^2](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%284%20-%2012%29%5E2%20%2B%20%288%20-%208%29%5E2)
![BC = \sqrt{(-8)^2 + (0)^2](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B%28-8%29%5E2%20%2B%20%280%29%5E2)
![BC = \sqrt{64 +0](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B64%20%2B0)
![BC = \sqrt{64](https://tex.z-dn.net/?f=BC%20%3D%20%5Csqrt%7B64)
![BC = 8](https://tex.z-dn.net/?f=BC%20%3D%208)
Since
![AB \ne BC](https://tex.z-dn.net/?f=AB%20%5Cne%20BC)
<em>Then, the polygon is not a square</em>
<em></em>
<em>The last available option is (c) trapezoid</em>
Answer:
31
Step-by-step explanation:
PEMDAS
16(2) * 0.
32 * 0
=0
2(2) * 2
=8
8 * 4 - 1
32 - 1 = 31
65% → $923
<u>Find 1%:</u>
1% = $923 ÷ 65 = $14.20
<u>Find 100%:</u>
100% = $14.20 x 100 = $1420
Answer: $1420