Answer:
Step-by-step explanation:
screen shot attached
The general formula for the lateral surface area of a right prism is
L = ph
where p represents the perimeter of the base and h represents the height of the prism.
In our case, the perimeter is the sum of the bases.
p = 5 + 5.6 + 2.5 = 13.1 cm
now, the height of the prism is 8 cm
then L = 13.1 cm x 8 cm = 104.8cm^2
Considering the given angle and the given formula, it is found that the percentage error for an angle of 0.02 radians is of 0.0067%.
<h3>What is the percentage angle for an angle?</h3>
For an angle
, it is given by the following formula:
![P = 100\frac{|\sin{\theta} - \theta|}{\sin{\theta}}](https://tex.z-dn.net/?f=P%20%3D%20100%5Cfrac%7B%7C%5Csin%7B%5Ctheta%7D%20-%20%5Ctheta%7C%7D%7B%5Csin%7B%5Ctheta%7D%7D)
In this problem, the angle is of
, hence:
![P = 100\frac{|\sin{0.02} - 0.02|}{\sin{0.02}}](https://tex.z-dn.net/?f=P%20%3D%20100%5Cfrac%7B%7C%5Csin%7B0.02%7D%20-%200.02%7C%7D%7B%5Csin%7B0.02%7D%7D)
![P = 0.0067](https://tex.z-dn.net/?f=P%20%3D%200.0067)
The percentage error for an angle of 0.02 radians is of 0.0067%.
More can be learned about percent error at brainly.com/question/25224978
Answer:
![(d + 8m)^2](https://tex.z-dn.net/?f=%28d%20%2B%208m%29%5E2)
Step-by-step explanation:
![d^2 + 16dm + 64 m^2 = (d + 8m)^2](https://tex.z-dn.net/?f=d%5E2%20%2B%2016dm%20%2B%2064%20m%5E2%20%20%3D%20%28d%20%2B%208m%29%5E2)