The picture shows
the layout of a
regular triangular
pyramid. Calculate
how many square
centimeters of paper
are needed to make
this pyramid. Provide
the answer to the
nearest square
centimeter.
Answers
Answers:
a) 693 sq cm (approximate)b) 48 sq cm (exact)============================================================
Explanation:
Part (a)
A regular triangular pyramid, aka regular tetrahedron, has all four triangles that are identical copies of one another. They are congruent triangles. This will apply to part (b) as well.
To find the area of one of the triangles, we'll use the formula
A = 0.25*sqrt(3)*x^2
where x is the side length. This formula applies to equilateral triangles only.
In this case, x = 20, so
A = 0.25*sqrt(3)*x^2
A = 0.25*sqrt(3)*20^2
A = 173.20508 approximately
That's the area of one triangle, but there are four total, so the entire area is about 4*173.20508 = 692.82032 which rounds to 693 sq cm.
The units "sq cm" can be written as "cm^2".
----------------------------
Part (b)
We'll use the same idea as part (a). But the formula to find the area of one triangle is much simpler.
The area of one of the triangles is A = 0.5*base*height = 0.5*6*4 = 12 sq cm.
So the area of all four triangles combined is 4*12 = 48 sq cm
This area is exact.
The area of each 2D flat net corresponds exactly to the surface area of each 3D pyramid. This is because we can cut the figure out and fold along the lines to form the 3D shapes.
Related Questions
Need help with answering B
Answers
Answer:
Jim would have received 18 vouchers. One for each pizza he purchased
in total, he has received 20 vouchers
18 for the pizzas he has bought. and 2 for the 16 vouchers that redeemed 2 pizzas
A scientist combines 12.4 mL of water with 3.63 mL of a certain chemical. Will the entire mixture fit in a 15 mL pipette? Why or why not? NO BITLY
Answers
On Monday, Richard worked for 4 hours and earned $36. On Tuesday, Richard worked for 6 hours and earned $54. On Wednesday, Richard worked for 5 hours and earned $45. what is the rate of his earnings? Represent his earnings in a y=mx function, where hours are represented by y, and m represents the rate of change. If richard worked for 7 hours, how much money would he earn? How many hours did richard work on friday, when he earned $81
Answers
Answer:
Earnings (E), Time (T) Rate (R) E = 9t
On Friday he worked 9 hours
Step-by-step explanation:
divide 36 by 4 to get 9 (Fo that for all the earnings to make sure you got the correct answer) Then just divide 81 by 9 to get 9 hours.
Mackenzie's business trip included driving to a conference that was 470 miles away. If she averaged 55 miles per hour, how long did it take her to get to the conference?
Answers
Answer:
About 8.5 hours
Step-by-step explanation:
Divide the total number of miles by the number of miles driven per hour. 470 divided by 55 is about 8.5, so it took her about 8.5 hours to get to the conference.
Please help fast if appreciate it
Answers
Answer:
In 30 days the rainfall level will be 30 × (2.3 +- 0.05 mm) or 69.0 +- 1.5 mm
A section of a deck is shaped like a trapezoid. For this section, the length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet. What is the area of this section of the deck?
Answers
Answer:
[tex]A=830\ ft^2[/tex]
Step-by-step explanation:
Given that,
The length of one base is 37 feet, and the length of the other base is 46 feet. The height is 20 feet.
We need to find the area of this section of the deck that is shaped like a trapezoid.
The area of a trapezium is given by :
[tex]A=\dfrac{a+b}{2}\times h[/tex]
a = 37 ft, b = 46 ft and h = 20 ft
Put all the values,
[tex]A=\dfrac{37+46}{2}\times 20\\\\A=830\ ft^2[/tex]
So, the area of this section of the deck is equal to [tex]830\ ft^2[/tex].
What is the end behavior? (select 2)
Ignore: need to be 20 characters or more
Answers
Answer:
The correct end behavior are;
As x approaches positive infinity, y approaches positive infinity (D)
As x approaches negative infinity, y approaches positive infinity (B)
Step-by-step explanation:
Here, we want to get the end behavior of the graph
Kindly note that the upward arrow represents a movement toward infinity
Thus, we have it as follows;
As the value of x increases (towards the right); the value of y tends toward positive infinity
secondly: as the value of x decreases, tends toward the left, the value of y also tends toward positive infinity
x^2+10x-2=0
use picture as example
Answers
What is the measure of ZF? G 65° 10 10 1 O A. 65° B. 75° O c. Cannot be determined D. 55
Answers
Answer:
A
Step-by-step explanation:
The sides GH and FH are congruent, so Δ FGH is isosceles and the 2 base angles G and F are also congruent, then
∠ F = 65° → A
What is the best way for a consumer to prevent unexpected fees from a new credit card?
A. study the advertisement for the credit card
B. read the fine print of the credit card agreement
C. research laws that regulate credit card companies
D. ask the credit card company for referrals from other consumers
Answers
is 9e+2(e+5) and 11e+5 equivalent?
Answers
No,
[tex]9e + 2(e + 5) = 11e + 10[/tex]
And 11e + 10 is not equivalent to 11e + 5
Answer:
No, its not.
9e + 2(e+5)
= 9e + 2e + 10
= 11e + 10
---> 9e+2(e+5) when simplified gives 11e + 10.
---> Therefore, its not equal to 11e + 5
What does x=_____ degrees
Answers
Answer:
x = 48 degrees
Step-by-step explanation:
This triangle is an isosceles which means that two of the angles are the same and all triangles add up to 180 degrees so we take the two angles we know and add them
66 + 66 = 132
Then we subtract that number from 180 to find the third angle
180 - 132 = 48
Answer:
x = 48°
Step-by-step explanation:
Since the legs of the triangle are congruent then the base angles are congruent, both 66° , then
x = 180° - (66 + 66)° = 180° - 132° = 48°
kinda confused on what the sum would be?!? HELP NOWW PLEASE
Answers
thanks
katrina divided her photos into three albums. each album contains 26 photos. how many photos did katrina have to begin with
Answers
The measure of an angle is 40.5°. What is the measure of its supplementary angle
Answers
Answer:
Supplementary angles add to 180 degrees. So of the measure of the angle is x, the measure of its supplement is 2x. Angle = 60, supplement = 120
Step-by-step explanation:
Answer:
139.5º
Step-by-step explanation:
The sum of supplementary angles is 180º
s + 40.5 = 180
Subtract 40.5 from both sides
s = 139.5º
Team D's car went the same distance on each of its trials. Team C's car went exactly 1 cm farther in each trial than Team D's car. Team C's car went 543 cm in all.
Answers
Answer:
180 cm
Step-by-step explanation:
Number of trials per team = 3
Distance per trial for team D's car is the same for each trial, let distance = x
Distance per trial for team C's car is 1cm farther than team D's distance and the same for each trial, hence, distance = x + 1 per trial
Total distance traveled by C = 543 cm
This means :
(x + 1) + (x + 1) + (x + 1) = 543
3x + 3 = 543
3x = 543 - 3
3x = 540
x = 540 / 3
x = 180
Hence, distance traveled per trial for team D's car = x = 180 cm
HELP PLS‼️‼️‼️‼️‼️‼️‼️‼️
Answers
Answer:
64 sq cm
Step-by-step explanation:
divide the shape into a 6x8 rectangle and a 4 x 8 triangle
6x8=48
.5x4x8=16
48+16=64
SOMONE PLS HELP ME IVE BEEN MAKING ALT ACC FOR THE PASS 10 MINS TRYING TO GET HELP i need a answer and to explain D:!!! pls help!!!
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Answer:
6:18
Step-by-step explanation:
9 + 5+ 4=18
since they said magenta vs rest of them not vis versa we have to arrange it magenta on the left other markers on the right
6:18
Answer:
B. 4 to 1
6
Step-by-step explanation:
can someone please help me with circle similarity?
Answers
Answer: were is your qustion at
plz make brainly
Step-by-step explanation:
Find the volume of a pyramid with a square base, where the area of the base is
16.3 ft2 and the height of the pyramid is 13.7 ft. Round vour answer to the nearest
tenth of a cubic foot.
Answers
The volume of the square base pyramid is 74.4 ft³
How to find volume of a pyramid?volume of a pyramid = 1 / 3 Bh
where
B = base areah = heightTherefore,
B = 16.3 ft
h = 13.7 ft
Hence,
volume of a pyramid = 1 / 3 × 16.3 × 13.7
volume of a pyramid = 223.31 / 3
volume of pyramid = 74.4366666667
volume of pyramid = 74.4 ft³
learn more on pyramid here: https://brainly.com/question/22855102
#SPJ1
HELP PLEASEE
i got 58 for the answer is that correct???
Answers
Answer:
I cant see anything how am I supposed to help you?
Step-by-step explanation:
Can someone plz help me with this one problem
Answers
You have a picture that is 4 inches wide by 6 inches long. You want to reduce it in size to fit a frame that is 1.5 inches wide. How long will the reduced photo be?
Answers
Answer:
2.25
Step-by-step explanation:
A picture is 4 inches 6 inches long
The length at which it would be reduced to can be calculated as follows
6/x= 4/1.5
Cross multiply
4x= 9
x= 9/4
= 2.25
Hence the length would be reduced by 2.25
⚠️Pythagorean Theorem⚠️
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Answers
In the first example you have to find the length of the hypotenuse( it is opposite of the 90 degrees)
9^2+12^2=c^2
81+144=c^2
225=c^2
(Use a calculator to find the square root of 225)
c=15
solve for x 1.6 equals 12.8
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Answer: x=14.4
Step-by-step explanation:
What is the range?
Ignore: this has to be 20 characters or more
Answers
Answer:
Step-by-step explanation:
The range is the difference between the highest and lowest values in a set of numbers. To find it, subtract the lowest number in the distribution from the highest.
7x+7=3x+27
What is the value of x
Answers
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Answers
Answer:
3:2
Step-by-step explanation:
lisa has 36 stickers, and john has 24, making the ratio 36:24, since they are both devisable by 12, you would get 3:2
Answer:
3:2
Step-by-step explanation:
A card is drawn randomly from a deck of 52 cards.
Find the probability of getting red faced card.
Answers
The probability of drawing a red face card from a deck of cards is 3/26
Explanation:
In a deck of cards, there are 6 red-faced cards.
Probability = No. of favourable events / Total no. of events
So, the probability of drawing a red-faced card is 6 out of 52 cards.
Thus, the probability of drawing a red face card from a deck of cards is 6/52 = 3/26.
Answer:
i hope this helped ❤️❤️❤️❤️❤️❤️
bro i keep getting it wrong so can you please tell me how to solve this not just the answer
Answers
Answer:
A
Step-by-step explanation:
since it is on sale for 27%, multiply $28 by 70% (0.7) to find the total amount of money the shirt costs now that it is on sale (since it's on sale for 30% off)
$28*0.7=$19.60
Answer:
$19.60
Step-by-step explanation:
First, find 30% of $28. :)
To do this, multiply 28 by 0.3. (30% is the same thing as 3/10 or 0.3)
28 x 0.3 = 8.4.
30% of 28 is 8.4.
Next, subtract $8.4 from $28. (Shirt on sale for 30% off)
28 - 8.4 = $19.60
Have a great day!