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!
HELP QUICK... I NEED THIS FOR MATH
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.
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:
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.
Answer:
B
Step-by-step explanation:
Its is a reflection over the y-axis
Help please ASAP!! I will give brainliest!
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! :)
PLEASE HELP!!!!! DEU IN A FEW HOURS
Please help me with this 7th-grade math work.
Answer:
H and F
Step-by-step explanation:
Starting with tails is wrong so we have Heads and H and F are the same -.-
Plzzzzz help me I might lose my mind if I don’t get this done!
I already did number 1 and 2 I just need the rest. The dimensions are 5 inches top and bottom and both sides are 6 1/2 inches.
Answer:
i cant see it
Step-by-step explanation:
Answer:
we pop out at yo party, im wit the gang
Step-by-step explanation:
please help me. I don't understand.
Answer: 28.8
Step-by-step explanation:sorry if I’m wrong
who ever gets this will get a brainlest
Answer:
the answer is 40%
Answer: 40%
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?
A. 40.78 cm
B. 40.88 cm
C. 41.78 cm
D. 41.88 cm
ayo if u help ima mark brainlistt and it no that hard ig
please answer correctly. I need this right now <3
Solve the following equation: x + 25 = 30
dont comment just for points cuz i will do the same to u
Answer:
5
Step-by-step explanation:
Answer:
X + 25 = 30
X + 25-25 = 30 - 25 = 5
Step-by-step explanation:
(Btw this is not a QOTD, but I might do another one later)
Mr. Greer’s checking account at the start of November is 995 dollars. The activity in his check register for the first two weeks of November is shown below.
What was the balance of Mor. Greer’s check register after the transaction on November 14?
No LINKS please, and thanks!
What is the radius, in centimeters, of a circle that has a circumference of 16π?
8
16
32
64
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 .
pleaase help withhh tt
his
Answer:
Decimal: 0.25
Percentage: 25%
Step-by-step explanation:
I've been stuck on this equation for so long! I need help
2/3 (9 + x) = - 5(4 -x)
Ill mark brainliiest
Write your answer as a decimal rounded to the nearest hundredth
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
Help me thanks
Xxxxxxxxxx
Answer:
A : 6.5
Step-by-step explanation:
Sophie has a doll collection with 36 dolls. She decides to sell s dolls to a museum and has r dolls remaining.
What is the independent variable?
who ever gets this right will get a brainlest
Answer:
20%
Step-by-step explanation:
750 - 20% is 600
so it's D
Can someone help?????
Jeremy earned $1365 after working for half of a year. He expects to continue working for the same number of hours each month, at the same pay rate.
a) How much will he earn in total after working for a year? Show two different ways of arriving at the answer.
b) If he works 10 hours a week, what is his hourly rate of pay?
Show your thinking.
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.
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?
$
Answer:
$84
Step-by-step explanation:
Help please and thank you
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 :)
A. k/5 = 3; k=
B. 3.5d = 70; d=
C. 4 1/2 = 1 1/2n; n=
Solve each equation.
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
Pls help me............
Answer:for the first page #1 is D
#2 is B
Step-by-step explanation:
i dont know number three yet
please answer correctly! This has 2 slides of questions but please answer correctly. I need this <3 :)
Answer:
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Help MOI Again PLEASE lol
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