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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

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For 3/5=2/3t how do you get t=9/10
lesya [120]

Answer:

Step-by-step explanation:

3/5 = 2/3t......multiply both sides by 3/2...this cancels out the 2/3 on the right side

3/5 * 3/2 = t

9/10 = t

another way to do it is this way...

3/5 = 2/3t......divide both sides by 2/3

(3/5) / (2/3) = t

3/5 * 3/2 = t

9/10 = t

7 0
3 years ago
The penny size of a nail indicates the length of the nail. The penny size d is given n 1by the literal equation d=4n−2, where n
Mars2501 [29]

Answer:

a) n=\frac{d+2}{4}

b)

When d = 3

n = (3+2)/4 = 5/4 inches

When d= 6

n = (6+2)/4 = 2 inches

When d = 10

n = (10+2)/4 = 3 inches

Step-by-step explanation:

<u>Complete Question:</u>

<em>The penny size of a nail indicates the length of the nail. The penny size d is given by the literal equation d=4n−2, where n is the length (in inches) of the nail.</em>

<em>a) Solve equation for n</em>

<em>b) Use part (a) to find length of nails with the following penny sizes: 3, 6, 10.</em>

<u>Solution:</u>

<u />

a)

We use algebra and take 2 to the other side and divide to solve for n. Shown below:

d=4n-2\\d+2=4n\\n=\frac{d+2}{4}

So,

n = (d+2)/4

b)

Since we have to find length of nails, we plug in 3, 6, and 10 respectively into d of the formula we found in part (a).

When d = 3

n = (3+2)/4 = 5/4 inches

When d= 6

n = (6+2)/4 = 2 inches

When d = 10

n = (10+2)/4 = 3 inches

3 0
3 years ago
Find the measure of each angle...? Stuck!
poizon [28]
8)
The sum of angles of a triangle is 180º
Therefore:
x+x+98=180
2x=180-98
2x=82
x=82/2
x=41

Answer:
m∠E=41º
m∠F=41º

10)
The sum of angles of a triangle is 180º
Therefore:
3x+4x+5x=180º
12x=180
x=180/12
x=15

3x=3(15)=45
4x=4(15)=60
5x=5(15)=75

Answer: 
m∠G=75º
m∠H=60º
m∠J=45º
6 0
3 years ago
Is the relation shown in the arrow diagram a function? Explain.
horsena [70]

Answer:

D

Step-by-step explanation:

Each input can not have 2 outputs or else it’s not a function. 2 maps to 21 and 42. It MPs to two outputs. It’s not a function

5 0
3 years ago
What algebraic property does this statement show?
Mnenie [13.5K]
The answer is (B) hope that helps
3 0
3 years ago
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