You could answer this by rearranging the equation to make r the subject:
539 = π ×
![r^{2}](https://tex.z-dn.net/?f=%20r%5E%7B2%7D%20)
× h
÷ πh
539 ÷ (π × h) =
![r^{2}](https://tex.z-dn.net/?f=%20r%5E%7B2%7D%20)
√
√(539/π × h) = r
I hope this helps!
I've never seen anything like this. The squares and placements.
but i believe its #1. -x + 1 = 2x + 3
Answer:
![L=3.999 \: dm](https://tex.z-dn.net/?f=L%3D3.999%20%5C%3A%20dm)
![A=183.4581\:dm^{2}](https://tex.z-dn.net/?f=A%3D183.4581%5C%3Adm%5E%7B2%7D)
Step-by-step explanation:
La relación del apotema y el lado de un dodecágono regular está dada por la siguiente ecuación:
![a_{p}=L\frac{2+\sqrt{3}}{2}](https://tex.z-dn.net/?f=a_%7Bp%7D%3DL%5Cfrac%7B2%2B%5Csqrt%7B3%7D%7D%7B2%7D)
Sabiendo que la apotema es 7.464 el lado sera:
![L=\frac{2*a_{p}}{2+\sqrt{3}}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B2%2Aa_%7Bp%7D%7D%7B2%2B%5Csqrt%7B3%7D%7D)
![L=\frac{2*7.464}{2+\sqrt{3}}](https://tex.z-dn.net/?f=L%3D%5Cfrac%7B2%2A7.464%7D%7B2%2B%5Csqrt%7B3%7D%7D)
![L=3.999 \: dm](https://tex.z-dn.net/?f=L%3D3.999%20%5C%3A%20dm)
Por otro lado el area de un dodecágono regular esta dada por:
![A=6a_{p}L](https://tex.z-dn.net/?f=A%3D6a_%7Bp%7DL)
![A=6*7.646*3.999](https://tex.z-dn.net/?f=A%3D6%2A7.646%2A3.999)
![A=183.4581\:dm^{2}](https://tex.z-dn.net/?f=A%3D183.4581%5C%3Adm%5E%7B2%7D)
Espero te haya sido de ayuda!
<u>Answer-</u>
<em>The height of the traffic light is 21.8 feet.</em>
<u>Solution-</u>
As shown in figure, we can see the right triangle formed from the situation,
From the question,
BC = the distance walked by Andrew from the traffic light = 20 feet
Height of Andrew's eye = 5 feet
Height of the traffic light = AB + Height of Andrew's eye
From the properties of triangle,
![\Rightarrow \tan \theta =\frac{Height}{Base}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctan%20%5Ctheta%20%3D%5Cfrac%7BHeight%7D%7BBase%7D)
![\Rightarrow \tan C =\frac{AB}{BC}](https://tex.z-dn.net/?f=%5CRightarrow%20%5Ctan%20C%20%3D%5Cfrac%7BAB%7D%7BBC%7D)
![\Rightarrow AB=\tan C\times BC](https://tex.z-dn.net/?f=%5CRightarrow%20AB%3D%5Ctan%20C%5Ctimes%20BC)
![\Rightarrow AB=\tan 40\times 20](https://tex.z-dn.net/?f=%5CRightarrow%20AB%3D%5Ctan%2040%5Ctimes%2020)
![\Rightarrow AB=16.8](https://tex.z-dn.net/?f=%5CRightarrow%20AB%3D16.8)
Therefore, height of the traffic light = AB + Height of Andrew's eye = 16.8+5 = 21.8 feet
The original price of the jacket is £60.