The answer would be A = 54raiz (3) + 18raiz (91)
Formula:
A = Ab + Al Where, Ab=base area A= lateral area
The area of the base is: Ab = (3/2) * (L ^ 2) * (root (3)) Where, L= side of the hexagon. Substitute: Ab = (3/2) * (6 ^ 2) * (root (3)) Ab = (3/2) * (36) * (root (3)) Ab = 54raiz (3)
The lateral area is: Al = (6) * (1/2) * (b) * (h) Where, b= base of the triangle h= height of the triangle Substitute: Al = (6) * (1/2) * (6) * (root ((8) ^ 2 + ((root (3) / 2) * (6)) ^ 2)) Al = 18 * (root (64 + 27)) Al = 18raiz (91)
The total area is: A = 54raiz (3) + 18raiz (91)
Answer:
FV(p)= PV*(1 + g)^t
Step-by-step explanation:
Giving the following information:
Number of insects (PV)= 1,500
Increase rate= 3 weekly
<u>First, we need to calculate the daily growth rate:</u>
Daily rate (g)= [3^(1/7)] - 1
Daily rate (g)= 0.16993
<u>Now, by using the following formula, we can determine the population p in any given day t:</u>
FV(p)= PV*(1 + g)^t
<u>For, example after 7 days:</u>
FV(p)= 1,500*(1.16993^7)
FV(p)= 4,500
<u>For example, after 10 days:</u>
FV(p)= 1,500*(1.16993^10)
FV(p)= 7,206
Converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.
The answer is 72.8. in order to solve this problem, you need to use the pythagorean theorem. the equation is c^2-b^2=a^2.
75^2-18^2=a^2
75 squared minutes 18 squared is 5301. then you need to find the square root of 5301.
the square root of 5301 is 72.8079666, rounding to 72.8.
Jason's data distribution is symmetrical and shows no outliers; Shane's data distribution is uniform and shows no outliers also. Therefore, the correct observation about the data sets that is correct is:<em> Option B.</em>
<h3>Symmetrical and Uniform Data Distribution on a Dot Plot</h3>
- If the data plotted on the dot plot shows a bell shape curve and can be divided into equal halves by a vertical line, the data distribution is symmetrical.
- When the data is spread equally across the range with no clear peaks, the data distribution is uniform.
<h3>What are Outliers?</h3>
Outliers are values that are far from the middle and are entirely different from the rest of the data.
The dot plots for sales made by Jason and Shane are shown in the image attached below.
Jason's data distribution is symmetrical and shows no outliers; Shane's data distribution is uniform and shows no outliers also. Therefore, the correct observation about the data sets that is correct is:<em> Option B.</em>
Learn more about data distribution on:
brainly.com/question/24309209
