Given pyramid with octagonal base. Image of the pyramid attached below:
We know the formula of Lateral Area of pyramid = 
where p represent the perimeter of the octagonal base
and l represent the slant height of the pyramid.
109.9 = 
Solve for p
p = 32.81 cm
Perimeter of octagonal base (all sides are same) = 8*s
where s represent the side of octagon
8s = 32.81
Solve for s
s = 4.1 cm
Side of the octagon = 4.1cm (option D)
I don't understand. Could you perhaps be a little bit more clear?
Based on the information given the original size of the bottle is 17.5 ounces.
Using this formula
Original size of the bottle
=New bottle size / Percentage increase
Where:
New bottle size=18.4 ounces
Percentage increase=(1+0.05)=1.05
Let plug in the formula
Original size of the bottle=18.4/(1+0.05)
Original size of the bottle=18.4/1.05
Original size of the bottle=17.5 ounces
Inconclusion the original size of the bottle is 17.5 ounces.
Learn more about original size of the bottle here:brainly.com/question/25001466
Answer:
(2x+18) degrees
Step-by-step explanation:
A triangle is a total of 180 degrees, so you would do:
(2x+18)+55+(4x+11)=180
(2x+4x)+(18+55+11)=180 <- take out parentheses and add like terms
6x+84=180 <- subtract 84 from both sides of the equation
6x=96 <- divide 6 from each side
x=16
Now that you know what x is you would plug it into each of the angles
Angle 1: 2x+18 --> 2(16)+18= 32+18= 50
Angle 2: 55
Angle 3: 4x+11 --> 4(16)+18= 64+18= 82
Then out of these three angles of the triangle, angle 1 (2x+18) would be the smallest.
