1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
love history [14]
3 years ago
10

Find the total area the regular pyramid. T. A. =

Mathematics
2 answers:
alexira [117]3 years ago
6 0
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)

Finger [1]3 years ago
3 0

Answer:      

The total area of the given pyramid is  265.24 units²

Step-by-step explanation:

Given : A regular hexagonal pyramid  with height = 8 units and base = 6 units.

We have to find the total area of the given pyramid  

Total surface Area of hexagonal pyramid is given by

A=\frac{3\sqrt{3}}{2}a^2+3a\sqrt{h^2+\frac{3a^2}{4} }

Where a is side length of base

and h is height of pyramid.

We have,

a = 6 units and h = 8 units

Substitute above, we have,

A=\frac{3\sqrt{3}}{2}(6)^2+3(6)\sqrt{(8)^2+\frac{3(6)^2}{4} }

Simplify, we have,

A = 265.24 units²

Thus, The total area of the given pyramid is  265.24 units²

You might be interested in
you are purchasing four items and you want to calculate the tax. The items cost 2.50, 8.75, 3.00, and 10.25. The tax rate is 6%.
vredina [299]
In the question it is already given that 4 items are being purchased and their individual rates are also given. the percentage of tax that needs to be paid is also given. To find the total amount of tax that has to be paid, you can either calculate the taxes on individual items and then add them or you can add the total amount required for the 4 items and then calculate the tax. Both will yield the same result but the second process is easier.
Cost of all the 4 items purchased = (2.50 + 8.75 + 3.00 + 10.25)
                                                       = 24.50
Percentage of tax that needs to be paid = 6%
Amount of tax that needs to be paid = (6/100) * 24.50
                                                           = 147/100
                                                           = 1.47
So the amount of tax that needs to be paid is 1.47.
5 0
3 years ago
(3 pt) Which property does the statement illustrate? Column A Column B
DanielleElmas [232]
1. B
2. A
3. B
4. A
Is your answer
8 0
3 years ago
[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 ​
skad [1K]

Answer:

Reduce the expression, if possible, by cancelling the common factors.[(2/3)^2]^3 X (2/3)^2 ÷ (2/3)^8 ​ = 1

Step-by-step explanation:

4/9^3 x (2/3)^2 ÷ (2/3)^8

4/9^3 x 4/9 ÷ (2/3)^8

4/9^3 x 4/9 divided by 256/6561

64/729 x 4/9 divided by 256/6561

= 1

8 0
2 years ago
The sail on a souvenir boat is similar in shape to the sail on a sailboat. The sail on the sailboat is in the shape of a right t
Triss [41]

Answer:

1 1/8 inches.

Step-by-step explanation:

As the sails are similar,  corresponding sides are in the same ratio, so we have the equation

:24/3 = 9/b     where  b = base of the souvenir boat.

Cross multiply:

24b = 9*3

b = 27/24

= 1 1/8 inches.

3 0
3 years ago
What does a letter with a line over it mean
Helga [31]

Step-by-step explanation:

The line above the letter means "complement". If X is a set, the the complement of X (denoted by X with a line above it) is the set of all things not in X...If X is a set, then the complement of X (denoted by X with a line above it) is the set of all things not in X.

Sorry if it was complicated

7 0
3 years ago
Other questions:
  • What is 7+4x2+(6+3)?
    12·2 answers
  • If l and m are parallel, which pairs of angles are supplementary?
    7·2 answers
  • Which of the following is a service that banks provide? A. Printing paychecks B. Insuring vehicles C. Access to cash D. Printing
    6·2 answers
  • √63<br><br> Whats the radical expression
    10·2 answers
  • C(x)=x^3-2x^2+8x+50. find the critical numbers
    10·1 answer
  • 7 copies of the sum of 8 and 4
    9·1 answer
  • -3(2x-3)=6x+9 how do I do this ​
    11·2 answers
  • Use proportional reasoning to find 46% of 50. Show how you set up the proportion.
    7·1 answer
  • What is 1.57 equal to ? Please help
    12·1 answer
  • I need some help please :)
    11·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!