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
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!
The dimensions of the Japanese flag are in a ratio of 2 to 3. If the shorter side of the flag is 5 feet, find the length of the diagonal.
Answer:
5 to 7.5
Step-by-step explanation:
Multiply 2 by 2 then add 1 two get 5. Then multiply 3 by 3 to get 6 then add 1.5 to get 7.5.
Risa is looking at a map. She measures it and sees that on the map her house is 3 inches from her grandma's house. If the map scale is 0.25 inches = 2 miles, how many miles is it from risa's house to her house?
Answer:
miles 24
Step-by-step explanation:
Divide and multiply
someone plzz help meeeee thank youuu
Answer:
The answers a ! Hope this helps
Step-by-step explanation:
nie jestem pewna ale chyba odp A
please help if u answer with a answer that is trolling I will report you
Answer:
230.5
Step-by-step explanation:
Formulas: a = 1/2(bh), a = bh
Rectangle 1: a = 6 x 8
a = 48
Base of the triangle: 9 + 6
15
Triangle 1: a = 1/2(15 x 24)
a = 180
Triangle 2: a = 1/2(4(13 - 8))
a = 2.5
48 + 180 + 2.5
230.5
The area of the figure is 230.5.
If this truly helps you out, help me out too and thank me or maybe even mark brainliest.
-Xax
I need help 8th grade math
ok can someone please help with these two
The price of a DVD is $24.00 plus 8.25% sales tax. What is the sales tax on the DVD in dollars and cents?
(answer choices
$19.80
$0.19
$1.98
$0.20)
Derrick goes to the store and buys a pair of shoes for $79.99, a shirt for $24.99, and a pair of shorts for $34.99. If the sales tax is 8.5%, then about how much did Derrick pay in sales tax?
(answer choices
$111.97
$11.90
$16.42
$1.11)
guys please help i’m nearly on 23% and i need to get to 82%- giving brainlest
-no links
-no unnecessary comments
i will take my points back if you put any links or unnecessary comment, thank you.
Please help quickly :(
Answer:
x=8
Step-by-step explanation:
3x-24
3(8)=24
24=24
Describe how to find the product of the two terms?
I think im just being un smart but I want to be safe and know im doing the question right.
Answer:
How to find the product of sum and difference of two binomials with the same terms and opposite signs? It is stated as: The product of the binomial sum and difference is equal to the square of the first term minus the square of the second term.
Step-by-step explanation:
How to find the product of sum and difference of two binomials with the same terms and opposite signs? It is stated as: The product of the binomial sum and difference is equal to the square of the first term minus the square of the second term.
please help quick!! A fully loaded and fueled spacecraft can weigh close to million pounds. What is this weight converted to tons?
Answer:
itis 500 tons
Step-by-step explanation:
What is n if 10.35 = n/4.5
Answer:
The answer is 46.575.
John plans to practice piano at least 2 1/2 hours this weekend.
If he practices 1 1/ 6 hours on Saturday and 1 1/4 hours on Sunday, will he meet his goal?
An item on sale costs %50 of the original price. The original price was 45$.
Find the sale price.
Please help! I will give the brainiest!
Answer:
22.5
Step-by-step explanation:
Luke and Pedro work for Crown Carpentry. On Thursday, they each hung the same amount of wooden trim, but Pedro finished first. On Friday, they will work for the same amount of time hanging trim in a new movie theater. Will Pedro likely hang more trim or less trim than Luke?
please help
A store pays $71 for a guitar and marks the price up by 20%. What is the new price?
HELP ME ASAP PLEASEEEEEEE
a) according to the map on the left, Central Park is about 50 blocks long by 9 blocks wide. what is the approximate area of the park? show your work.
b)lets say the area of the map is 21 square inches. you want to make q enlarged map of central park to take with you on your journey. describe how you can determine the area of the the enlarged map.
c)supposed the scale factor you will use to enlarge the map is 5:1. what is the approximate area of the park of the park in your enlarged drawing.
d) how did you apply proportional reasoning as you worked through these problems?
Answer: a) about 450
Step-by-step explanation:
50 multiplied by 9 is 450 and its asking for an approximate so it would be anything near 450
Samantha made a scale drawing of a car using a scale of 1 inch to 2.5feet her drawing of the car is 5inch long what is the length in feet of the car.... help asap please
Jason enjoys walking around the block with his dog, Ringo. When Jason and Ringo walk w times around the block, they walk 0.75w miles. Last week, Jason and Ringo walked 12 times around the block.
How many miles did Jason and Ringo walk around the block last week?
Write your answer as a whole number or decimal.
HELP ASAP PLEASE!!!!
Answer:
answer is 16 degree x=16
find the area of the figure fast please
Answer:
114
Step-by-step explanation:
solve for the area of the rectangle (length times witdh) and then add that to the area of the traignles (1/2 times bgase times height)
What is the advantage of this data display when compared to listing the data? What is the disadvantage?
(08.01)Which of the following statements shows a characteristic of a statistical question?
The question is focused.
The distribution can be broken into categories.
The question asks for a quantitative response.
The question allows for surveys to be conducted.
Answer:
The guy above me already said it, it's C
What is the volume of the pyramid?
I will report if you send links
Answer:
The answer is 1133.33 i got it from go ogle so blame me if i got it wrong blame go ogle can i have Brainliest
Step-by-step explanation:
Answer:
66 2/3
Step-by-step explanation:
The way to solve this is The general volume of a pyramid formula is given as: Volume of a pyramid = 1/3 x base area x height. Where Ab = area of the polygonal base and h = height of the pyramid. Note: The volume of a pyramid varies slightly depending on the polygonal base.
What i did was i first tried to do 17 x 20 x 10 which game 3400 but when i remembered that V=1/3 x base area x height which would be 1/3 x 17 x 20 = 113 1/3 but if the base was 10 it would be 1/3 x 10 x 20 = 66 2/3. so i think the base is 10 and the answer would be 66 2/3
If i am wrong i'm sorry
Pls pls pls help me! I will give brainliest and points!
Find the area of each trapezoid or kite.
Giving brainliest so no links
Choose the best estimate for the weight shown on the scale below.
A) 192 lb
B) 192 T
C) 197 lb
D) 197 T
please help with these two, or one I will give brainly for correct answer no bots or links
Coach Cliffman made a deposit of $1,800 into an account that earns 2% annual compound interest. Find the amount of interest that Coach Cliffman earned after 3years.
Answer: 5508$
Step-by-step explanation:
So to find interest your formula is this:
Int=interest rate (percent)*principal
So your problem would be: int=.02*1800
This equals 36. Since its interest, you add your interest (36) and your principal (1800) and get 1836. Now, since you need to find the interest for 3 years, you multiply 1836 by 3.
Step-by-step explanation:
what is 6 x 18 using the distributive property
Answer:
108 is the answer and there is no explanation for this. Youc can directly multiply it.
Answer:
648
Step-by-step explanation:
There is no distributive property necessary. You would use distributive property in a problem like a(b + c).
a(b + c)
ab + ac
That is distributive property. 6 × 108 doesn't require distributive property.
6 × 108 or 6(108) or 108(6) = 648
A store pays $68 for a desk. The store marks up the price by 20% .What is the amount of the mark-up?