A hexagonal pyramid has a volume of 144 cubic millimeters and a height of 4 millimeters. What is the area of the base of the pyramid? (Hint: Label the parts you know. Draw a picture if necessary)
This is confusing T^T

Answers

Answer 1

Answer:

The area of the base of the pyramid is 109.2 mm.

Step-by-step explanation:

The area of the base of a hexagonal pyramid is given by the area of a hexagon:

[tex] A_{b} = \frac{P*a}{2} [/tex]  

Where:

P: is the perimeter

a: is the apothem

We need to find the perimeter and the apothem.

The perimeter is equal to:  

[tex] P = 6*s [/tex]

Where:

s: is the side of the pyramid

And the apothem is:

[tex] a = \frac{\sqrt{3}}{2}*s [/tex]

So, to calculate the apothem and the perimeter we need to calculate the side of the pyramid. We can find it from the volume of the pyramid:

[tex] V = \frac{\sqrt{3}}{2}*h*s^{2} [/tex]  

Where:

h: is the height = 4 mm  

V: is the volume = 144 mm³                                  

Then, the side is:  

[tex] s = \sqrt{\frac{2V}{\sqrt{3}*h}} = \sqrt{\frac{2*144}{\sqrt{3}*4}} = 6.5 mm [/tex]

Now, we can find the perimeter and the apothem.

[tex] a = \frac{\sqrt{3}}{2}*s = \frac{\sqrt{3}}{2}*6.5 = 5.6 mm [/tex]

[tex] P = 6*s = 6*6.5 = 39 mm [/tex]

Finally, the area is:

[tex] A_{b} = \frac{P*a}{2} = \frac{39*5.6}{2} = 109.2 mm^{2} [/tex]

Therefore, the area of the base of the pyramid is around 109 mm.

I hope it helps you!


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lol xd i jejuducyycya udhydggd 8737377 dhhdhxy

Plzzzzz help me I might lose my mind if I don’t get this done!
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Answer:

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The answer is C $550

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Answer:

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wait a moment and scrole down!

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Answer:

-5a + 20a +-4a - -6= -16

Answer- a= -2

Step-by-step explanation:

Hope this helps!

Answer:

-2

Step-by-step explanation:

-5a+20a+-4a_-6=-16

20a-9a+6=-16

11a+6=-16

11a=-16-6

11a=-22

a=-22/11

a=-2

The band Leeward charges different prices for its concert tickets based on a concert-goer's age. The total cost, in dollars, of tickets for a adults and c children is 12a+6c. Edgar bought tickets for 4 adults and 6 children.
How much did Edgar pay for tickets?
$

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Answer:

$84

Step-by-step explanation:

Help me thanks
Xxxxxxxxxx

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Answer:

A : 6.5

Step-by-step explanation:

Answer :

A: 6.5

Step by step explanation

Can someone help?????

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The answer is 3 points

Rectangle A’B’C’D’ is similar to rectangle ABCD, as shown on the coordinate plane
below.

Which sequence of transformations maps rectangle
ABCD onto rectangle A’B’C’D’?
A. A translation 8 unit to the left, then a dilation by
a scale factor of 1/2
with a center of dilation at the origin
B. A reflection over the y-axis, then a dilation by a
scale factor of 1/2
with a center of dilation at the origin.

C. A dilation by a scale factor of 1/2
with a center of
dilation at the origin, then a 90° counterclockwise
rotation about the origin
D. A 90° counterclockwise rotation about the origin,
then a dilation by a scale factor of 1/2
with a center of

dilation at the origin.

Answers

Answer:

B

Step-by-step explanation:

Its is a reflection over the y-axis

ayo if u help ima mark brainlistt and it no that hard ig

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Jesus is always the answer
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HELP QUICK... I NEED THIS FOR MATH

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113,000-71,500

41,500
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Solve the following equation: x + 25 = 30
dont comment just for points cuz i will do the same to u

Answers

Answer:

5

Step-by-step explanation:

Answer:

X + 25 = 30

X + 25-25 = 30 - 25 = 5

Step-by-step explanation:

Write your answer as a decimal rounded to the nearest hundredth

Answers

Answer: 0.17

Step-by-step explanation: There are 5 other letters rather than A. So it would be 1/5 and 1 divided by five is 0.2 which is probally 0.20.

Hope it helps have an wonderful day

0.17 i hope this helps

please answer correctly. I need this right now <3

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U literally do 9•5.....

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Answer:

A) [tex]A=\pi r^2[/tex]

Step-by-step explanation:

Answer:

Its A

Step-by-step explanation:

I really don't know how to explain it. But I hope I helped :)

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Answers

the answer to your equation is x=6

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8
16
32
64

Answers

Answer: The radius equals 8cm

Answer:

8

Step-by-step explanation:

The circumference of a circle is equal to  π , which is a number  ≈ 3.14 , multiplied by the diameter of the circle.

Therefore,  C  =  π d .

We know that the circumference,  C , is  16 π , so we can say that:

16 π  =  π d

We can divide both sides by  π  to see that  16  =  d .

We now know that the diameter of the circle is  16 .

We also know that the diameter has twice the length of the radius.

In equation form:  2 r  =  d

2 r  =  16

r  =  8

Note that since  2 r  =  d , the equation  C  =  2 π r  holds and can be used in place of C  =  π d .

please help me. I don't understand.

Answers

Answer: 28.8

Step-by-step explanation:sorry if I’m wrong

ok so you need to multiply the two numbers together and then divide your answer by 3!

A. k/5 = 3; k=
B. 3.5d = 70; d=
C. 4 1/2 = 1 1/2n; n=

Solve each equation.

Answers

Answer:

Step-by-step explanation:

A. k/5 = 3:  Isolate k by multiplying both sides of this equation by 5:

k = 15

       

B. 3.5d = 70;  Divide both sides by 3.5, obtaining d = 20

C. 4 1/2 = 1 1/2n;   Rewrite 4 1/2 and 1 1/2 as improper fractions:

  9/2 = (3/2)n.  Now multiply both sides by (2/3):  3 = n

Answer:

I think C

Step-by-step explanation:

Because when you calculate it it shows up to be honest if it’s wrong I’m very sorry ☹️ Oops nvm I was suppose to solve it all LOL

Ill mark brainliiest

Answers

Do NOT open links given to you!
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√7 = √5 units, √2 units

√5 = 1 unit, 2 units

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Answers

The answer is H. 133

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The answer is 133 I’m pretty sure

A smaller triangle is four times smaller than a larger triangle. If the smaller triangle has a measurement of 10.47 mm for its longest side. What is the measurement of the longest side of the larger triangle?
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B. 40.88 cm
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D. 41.88 cm

Answers

It’s D. 41.88 pls give brainliest
It’s D. 41.88 ur welcome

who ever gets this will get a brainlest

Answers

Answer:

the answer is 40%

Answer: 40%

40% percent is the answer

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Show your thinking.

Answers

Answer:

A. $2730 B. Information missing

Step-by-step explanation:

A. first way is by simply multiplying $1635 by 2.

second way is by finding 1/4 income a year by dividing $1635 by two, then multiply by 4.

It may not be correct but i hope it helped.

pleaase help withhh tt
his

Answers

decimal: 0.25
percent: 25%

Answer:

Decimal: 0.25

Percentage: 25%

Step-by-step explanation:

who ever gets this right will get a brainlest

Answers

Answer:

20%

Step-by-step explanation:

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so it's D

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Help please ASAP!! I will give brainliest!

Answers

Answer:

3/5      1/10

Step-by-step explanation:

1/5 divided by 1/3 is 1/5 times 3 which is 3/5

1/2 divided by 5

= 1/2 divided by 5/1

=1/2 times 1/5

=1/10

Answer:   1) 3/5     2) 1/10

Step-by-step explanation:

1) 1/5 divided by 1/3

then you take the reciprocal so the equation is now 1/5 times 3/1

and you get an answer of 3/5

2) 1/2 divided 5/1 (you put the one under the 5 cuz it's a whole number)

Take the reciprocal of the second fraction and flip the numerator and denominator so you get 1/5.

Then, do 1/2 x 1/5 which equals 1/10.

Hope that helped! :)

The sum of two numbers is 16 . When the second number is subtracted from the first​ number, the difference is 8. Find the two numbers.

Answers

8 and 8 kuz 8+8 is 16 and 16-8 is 8 hope this helps plz rate fairly and mabe give branlyest ;)

Answer:

The answer is 8 both ways in and out

Step-by-step explanation:

Please help me with this 7th-grade math work.

Answers

The answer is H........

Answer:

H and F

Step-by-step explanation:

Starting with tails is wrong so we have Heads and H and F are the same -.-

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