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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
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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!
What is n if 10.35 = n/4.5
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Answer:
The answer is 46.575.
Clare earns 75 the next week from an after school job and deposits just enough into her account so that she is out of debt.
Write an addition equation to represent this new information. Again use the letter n to represent the unknown quantity. What is the value of n?
What fraction of the money she made last week does she have after paying off her debt? Explain your thinking.
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Answer: As she was in a debt of $50 , she is left with $25
-$50 + $75 = $25
Step-by-step explanation:
please help if u answer with a answer that is trolling I will report you
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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
What is the advantage of this data display when compared to listing the data? What is the disadvantage?
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Disadvantages: Doesn't reveal exact values
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
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weight is measured in pounds = lbs
the scale shows 192
someone plzz help meeeee thank youuu
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Answer:
The answers a ! Hope this helps
Step-by-step explanation:
nie jestem pewna ale chyba odp A
A store pays $68 for a desk. The store marks up the price by 20% .What is the amount of the mark-up?
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( 20% of $68 is 13.60, so you add $68 and $13.60 and it’s $81.60 )
What is the area of a triangle having a base of 4 inches and a height of 8 inches?
a.16 square inches
b.12 square inches
c.32 square inches
d.6 square inches
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Answer:
a. 16 square inches
Step-by-step explanation:
I need help 8th grade math
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please help with these two, or one I will give brainly for correct answer no bots or links
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Help me thanks
Xxxxxxxxxx
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Answer:
A : 6.5
Step-by-step explanation:
A: 6.5
Step by step explanation
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)
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MATH SMARTIES I WILL GIVE BRAINLIEST PLEASE INCLUDE AN EXPLINATION MEANING WRITE THE WORK ON HOW YOU GOT THE ANSWER SO I CAN UNDERSTAND PLEASE THANK YOU
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Answer:
1: 4 2/3
a: $2.06
b: $27.06
Step-by-step explanation:
Math
Answer:
1. 7 + 5 = 12
27 - 12 = 15
15 / 3 = 5
x = 5
(Assuming that all of the x's are the same value!)
2a. 8.25 x 100 = 0.0825
25 x 0.0825
= 2.0625
(this is the tax)
2b. (add the tax + the $25 )
Step-by-step explanation:
-so so sorry if this is wrong or if it is not the answer you needed !
what is 6 x 18 using the distributive property
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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
The graph below shows a declining rate of change. What is the constant rate of change?
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Answer:
the answer would be B
Step-by-step explanation:
A store pays $71 for a guitar and marks the price up by 20%. What is the new price?
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71+14.20=£85.20
hope this helps
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?
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Answer:
miles 24
Step-by-step explanation:
Divide and multiply
Need the answer ASAP... (I will report you if you put weird answers to get points)
0.75 of the adults in a hall are women. If there are 125 men, how many adults are there altogether?
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If there are x adults total, and 0.75 of them are women, then you have 0.75x women total. it is given that you have 125 men.
since men plus women equals total adults, 0.75x+125=x
125=0.25x
x=500
Pls pls pls help me! I will give brainliest and points!
Find the area of each trapezoid or kite.
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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
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Pharmacy a lot!!!!
John arrived at work early in the morning at the home infusion pharmacy and discovered there was an order for furosemide 40 mg to be administered by IV infusion that needed to be sent out right away. He decided to mix the compound right away so it would be ready for the pharmacist to check when she arrived. He flipped a switch to turn the laminar flow workbench on and gather the needed materials. He put on a gown, washed his hands thoroughly, and place the supplies carefully in the hood. Because the furosemide was packaged in ampul, john remember to obtain a filter needle to remove any glass particle that might result from breaking the ampul. He attach the filter needle to the syringe and snap the tip of the ampul by holding it with his thumbs and index fingers and applying pressure with his thumbs. The glass scraped his finger as the lid came off, but there wasn’t much bleeding, so he continued. Using the filter needle and syringe, John withdrew the furosemide from the vile and carefully injected it into the injection ports of the piggyback bag. He remove the bag from the hood and placed it in the checking area, where he attached the appropriate labels. As he finished, the pharmacist arrived and came over to check the medication. John felt proud that he was able to complete the admixture in a timely manner so it could be sent out to the patient. The pharmacist checked the bank, initialed the paperwork, and sent back out for delivery.
Did john follow all the 797 guidelines for compounding a sterile product??
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Answer:
not really, if at one point he was bleeding a little, he still should have done something about it instead of continuing and risking contaminating whatever it was
Step-by-step explanation:
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.
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Answer: It's 9!
Step-by-step explanation: Given W=12,
0.75 times 12= 9!
Please help me with this question! Dinner at TGI Friday's costs $50 for your family. Find your total cost if the sales tax is 6% and you leave a 15% tip on the total bill. Round to the nearest cent if necessary.
(Remember, some people tip on the cost of the meal, and some people tip on the total with tax. In this case, it is clear that we are tipping on the cost plus tax because it says "total bill." This means we need to treat it as a two-step problem.)
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Please answer number 12 correctly to win a handsome reward
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Which triangle represents the rotation of Triangle GHK?
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Answer: I learned this a few months ago so I know the answer
Hope this was useful if so please brainliest :)
Step-by-step explanation:
C because you said rotation not flipped or slid or change of size
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.
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The answer I I’ve me goes a bit more in depth
Please help quickly :(
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Answer:
x=8
Step-by-step explanation:
3x-24
3(8)=24
24=24
consider the functions [tex]f(x)=3+10x, g(x)=2^x and ,h(x)=5x^2.[/tex] which function will have a the greatest output when x=0
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Answer: 5 i think
Step-by-step explanation:
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.
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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.