Answer:
The area of an octagon whose perimeter is 120 cm is 1086.4 
Step-by-step explanation:
An octagon is a polygon with eight sides. If the lengths of all the sides and the measurement of all the angles are equal, the octagon is called a regular octagon.
There is a predefined set of formulas for the calculation of perimeter, and area of a regular octagon.
The perimeter of an Octagon is given by
and the area of an Octagon is given by
We know that the perimeter is 120 cm, solving for side length (a) in the perimeter formula we get
Now, we calculate the area
Answer:
(B) 5/6 ·13÷4
(C) 5/6 ÷4·13
(D) 5/6 · 13/4
Step-by-step explanation:
Amount of paint per can = ![\[\frac{5}{6}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B5%7D%7B6%7D%5C%5D)
liters.
Number of cans used to paint 4 cars = 13
Total amount of paint used for 4 cars = ![\[13 * \frac{5}{6}\]](https://tex.z-dn.net/?f=%5C%5B13%20%2A%20%5Cfrac%7B5%7D%7B6%7D%5C%5D)
liters.
= ![\[\frac{13 * 5}{6}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B13%20%2A%205%7D%7B6%7D%5C%5D)
liters.
= ![\[\frac{65}{6}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B65%7D%7B6%7D%5C%5D)
liters.
Total amount of paint used for 1 car = ![\[\frac{65}{6} \div 4\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B65%7D%7B6%7D%20%5Cdiv%204%5C%5D)
liters.
= ![\[\frac{65}{24}\]](https://tex.z-dn.net/?f=%5C%5B%5Cfrac%7B65%7D%7B24%7D%5C%5D)
liters.
Of the given options, option B,C and D correspond to the same value.
Answer:
<u>(1, 18)</u>
Step-by-step explanation:
Rewrite the equation in vertex form by completing the square for -3x^2 + 6x + 15. This = -3(x - 1)^2 + 18.
Set y equal to the new right side.
y = -3(x - 1)
Use the vertex form, y = a(x - h)^2 + k, to determine the values of a, h, and k.
a = -3
h = 1
k = 18
Vertex = (h, k) / (1, 18)
