Answers
Answer:
Surface of[tex]35,875.86 cm^2[/tex]
Voliume of [tex]234,671.58 cm^3[/tex]
Long and painful calculations
Ok, this is going to take some time. The volume is the sum of all the solids, minus the half cylinder that makes the "tunnel" beneath it. That said, we can split the item into 3 main shapes, and the cylinder: The pyramid in the top left, the square based prism below the pyramid, and the trapezoid prism to the right. I edited a bit the image with paint to add measurements. It's paint so quality is what it is and deal with comic sans as a font.
Let's find the total surface first. We have the surface of the four faces of the pyramid, which are triangles of base 54 and height (red line)[tex]\sqrt{36^2+(\frac{54}2)^2} =\sqrt{2025}=45cm[/tex], givins us a total area of [tex]4\times \frac{bh}2 = 2\times 45\times 54 = 4860 cm^2[/tex]
We add the two lateral faces of the left prism: they are two rectangles of side length 70 and 54, for a total area of [tex]2(70)(54) = 7580 cm^2[/tex]
Take the rectangle to the side of the prism, of sides 54 and 70-34 = 36, giving an area of [tex]54\times 36 = 1944 cm^2[/tex]
Pick the inclined "roof" of the right prism, again a rectangles, sides 54 and 61: surface is [tex]3294 cm^2[/tex]
Two side faces of the right building: first pick the height (magenta line), with pythagorean theorem again, equal to [tex]\sqrt{ 61^2-11^2} = \sqrt{3600} = 60 cm[/tex]. The surface becomes [tex]2 \frac{(B+b)h}2 = (34+45)(60)= 4740 cm^2[/tex]
Missing the short sides and the half cylinder making the gallery. The sides - if you imagine un-hinging one and attaching to the bottom of the other - will make a rectangle of sides (45+70) cm and 54 cm with a circular hole in the middle. surface is [tex](45+70)\times54 - \pi(54/2)^2 =[/tex][tex]3920.94 cm^2[/tex].
Finally, the half cylinder. It's a "rectangle) tall (60+54) cm - the length of the whole contraption, and long half the circle, or [tex]27\pi[/tex]. It's surface is [tex](60+54)\times\27\pi = 9664.92 cm^2[/tex]
Done with surfaces. At this point we just add everything together. Grab a calculator and start adding up, if I didn't miss anything the total surface will be [tex]35875.86 cm^2[/tex]
Volumes now. You wished this was over? I totally did.
Bulk of the calculations are done luckly. It's just to cut and paste here and there.
Pyramid first. We know the side length, we know the height, volume is the usual formula
[tex]\frac 13l^2h = \frac 13 54^2\times 36= 33,048 cm^3[/tex]
Cube beneath. This one is also easy Sides are 54cm, 54cm and 70cm, volume is their product:
[tex]54*54*70= 204,120 cm^3[/tex]
Side prism now: again base surface times height, let's use the trapezoid as a base since we already have the area from above:
[tex]A_th = 2370\times54 = 127,980 cm^3[/tex]
From this we take half a cylinder of radius 27 tall as the whole structure is long. [tex]\frac12 \pi r^2h = \frac12 \pi (27)^2(60+54) = 130,476.42 cm^3[/tex]
We're done. Let's add the volume of the first 3 solids and subtract the last one - hope you have your calculator handy, to get in total a volume of [tex]234,671.58 cm^3[/tex]
Double and triple check numbers, even if I rand them with excel.
Related Questions
Find a job that uses trigonometry. Include an image depicting the job and a description of how the trigonometric concepts learned in this module are used in the job.
Answers
Engineering
In engineering you need to determine the structure of shapes, buildings.The distance from base to building top total length of carpets,the settings of CCTV cameras for perfect view you need trigonometric functions like sin ,cos,tan etcB. Company P calculates the earnings of employee, E, for working h hours using the equation E = 8.25h.
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Answer:
Step-by-step explanation:
Find the perimeter. Simplify your answer.
Answers
Answer:
4
Step-by-step explanation:
yeah-ya........ right?
The perimeter of the triangle is 2(12c - 7).
What is a triangle?A triangle is a three-sided polygon with three edges and three vertices. the sum of angles in a triangle is 180 degrees. The perimeter of a triangle is the sum of the side lengths.
What is the perimeter of the triangle?Perimeter = 7c - 5 + 7c - 5 + 10c - 4
24c - 14
2(12c - 7)
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Determine the following probabilities. Enter your final answers as reduced fractions. Two coins are flipped. Find the probability that the first coin land on heads and the second coin lands on heads. Two cards are drawn from a deck of 52 cards. The first card is replaced before drawing the second card. Find the probability that the first card is black and the second card is a 8. A single digit between 0 and 9 is randomly chosen, and a single letter from A to Z is randomly chosen. Find the probability that the number is 4 and the letter is a consonant. Two dice are rolled. Find the probability that first die lands on an even number and the second die is less than 2.
Answers
The probability of an event occurring is given by the ratio of the number of
possible outcome to the number of required outcome.
First question: The probability that the first coin lands on heads and the second coin lands on tails is 0.25.Second question: The probability of drawing a black card and then a 8 is [tex]\underline{\dfrac{1}{13}}[/tex].Third question: The probability that the number chosen is 4 and the letter chosen is a consonant, is [tex]\underline{\dfrac{21}{234}}[/tex].Fourth question: The probability that the first die lands on an even number and the second die is less than 2, is [tex]\underline{\dfrac{1}{12}}[/tex].Reasons:
First question:
The number of faces in a coin = 2; A head or a tail
The probability that the first coin lands on heads, P(H) = [tex]\dfrac{1}{2}[/tex]
The probability that the second coin lands on tails, P(T) = [tex]\dfrac{1}{2}[/tex]
The probability that the first coin lands on heads and the second coin lands
on tails = P(H ∩ T)
Which gives;
[tex]P(H \cap T) = \dfrac{1}{2} \times \dfrac{1}{2} = \dfrac{1}{4}[/tex]
The probability that the first coin lands on heads and the second coin lands on tails = [tex]\dfrac{1}{4}[/tex] = 0.25
Second question:
The number of black cards in a pack of 52 = 26 cards
The number of cards that are a 8 in a pack of 52 cards = 8 cards
[tex]\mathrm{The \ probability \ of \ drawing \ a \ black \ card}, \ P(B) = \dfrac{26}{52} = \dfrac{1}{2}[/tex]
[tex]\mathrm{The \ probability \ of \ drawing \ a \ 8,} \ P(8) = \dfrac{8}{52} = \dfrac{2}{13}[/tex]
The probability of drawing a black card and then an 8, P(B∩8), is given as follows;
[tex]P(B \cap 8) = \dfrac{1}{2} \times \dfrac{2}{13} = \dfrac{1}{13}[/tex]
The probability of drawing a black card and then a 8 is P(B∩8) = [tex]\underline{\dfrac{1}{13}}[/tex]
Third question:
The probability that a number chosen between 0 and 9 is 4, P(4) = [tex]\dfrac{1}{9}[/tex]
The number of consonant in the alphabet = 21
The probability that a letter chosen from A to Z is a consonant, P(C) = [tex]\dfrac{21}{26}[/tex]
The probability that the number chosen is 4 and the letter chosen is a consonant, P(4 ∩ C) = [tex]\dfrac{1}{9} \times \dfrac{21}{26} = \underline{ \dfrac{21}{234}}[/tex]
Fourth question:
The number of even numbers on a die = 3; (2, 4, 6)
The number of numbers less than 2 on a die = 1
The probability that the first die lands on an even number, P(E) = [tex]\dfrac{3}{6}[/tex]
The probability that the second die is less than 2. P(<2) = [tex]\dfrac{1}{6}[/tex]
Therefore;
The probability that the first die lands on an even number and the second die is less than 2, P(E ∩ <2) = [tex]\dfrac{3}{6} \times \dfrac{1}{6} = \dfrac{3}{36} = \underline{\dfrac{1}{12}}[/tex]
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Elizabeth bought 6 lipsticks for $15. How many lipsticks can be bought for $60
Answers
Answer:
4 lipsticks
Step-by-step explanation:
15+15=30, 30+30=60
Draw a line representing the "rise" and a line representing the "run" of the line. State
the slope of the line in simplest form.
Answers
Answer:
The slope of this line is y=3x-3
Step-by-step explanation:
(I'm not sure but is the line on the point(1,0)? or is it past that point?)
6. (4. 1) and (1, 4) are on the line
Answers
Answer: This is used by
Step-by-step explanation:
The distance from Jason's house to school is 0.9 kilometer. What is this distance in meters?
The distance from Jason's house to school is
meters.
Answers
Answer:
900 meters
In 0.9 move the decimal two times to the right
That makes it 900 meters
pls help asap! i will mark brainliest!
Answers
Answer:
AB would be 18 or the first choice.
Since BD is the median that means from A to D and from D to C are equal. We set this up as an equation and solve it.
x + 8 = 2x - 17
+ 17 +17
x + 25 = 2x
-x -x
25 = x
This gives us our first bit of the answer. Then we plug this into our equation for the length of AB to get 18.
Step-by-step explanation:
hope this helps. . . <3
good luck! uωu
Taryn is measuring ribbon to make decorations for a fall party. She needs
32 feet of ribbon. She has 12 &
1/3 feet of ribbon.
How many more feet of
ribbon does she need?
Answers
Answer:
19 2/3
Step-by-step explanation:
32 ft minus 12 and 1/3 ft is 19 and 2/3 ft.
The arithmetic sequence 2, 4, 6, 8, 10,. . . Represents the set of even natural numbers. What is the 100th even natural number? a100 = What is the sum of the first 100 even natural numbers? S100 = Complete the sentence below with less than, greater than, or equal to. The sum of the first 100 even natural numbers is the sum of the first 101 odd natural numbers.
Answers
The 100th even natural number is 200
Given the sequence 2, 4, 6, 8, 10....
The nth term of the sequence is expressed as:
Tn = a + (n - 1)d
a is the first term = 2
d is the common difference = 4 - 2 = 6 - 4 = 2
n is the number of terms
Substitute the given parameters into the formula
Tn = 2(n-1)2
Tn = 2+(2n - 2)
Tn = 2n
Get the 100th term
T10= 2(100) = 200
Hence the 100th even natural number is 200
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Answer:
1)
200
2)
10100
3)
less than
Step-by-step explanation:
on god
answer dis please
Aiko3han owo
Answers
Answer:
b
Step-by-step explanation:
Audrey has a pet-sitting service. She uses the following inequality to determine how many pets she can care for at one time, where d represents the number of dogs and c represents the number of cats. 10 + 15 < 60. A graph of the inequality is shown. Explain and interpret the meaning of the point in the graph
I missed a few days of school and I don't know how to do this problem is there any way anyone could walk me through this or show me how they got the answer?
Answers
Answer:
Step-by-step explanation:
Jillian was able to fill exactly 4 paper cups from 24 ounce bottle .At what rate how many cups can she expect to fill from a 66 ounces bottle?
Answers
11 cups
Explanation:
24/4 = 6
66/6 = 11
micheal-anthony and jocelyn are both running around the track at school. michael-anthony runs 3 miles in 20mins and continues running at this pace for 1 hour. jocelyn runs 4 miles in 30 mins and continues running at this pace for1 hour. how many miles does each person each person run in an hour? who runs faster?
explanation is needed
Answers
The number of miles each person runs after an hour is;
Michael Anthony = 9 miles
Jocelyn = 8 miles
The person that runs the fastest is;
Michael Anthony with a speed of 0.15 miles per minute.
Michael-Anthony runs 3 miles in 20 minutes
Now formula for speed is;
Speed = distance/time
Thus;
Speed of Michael Anthony = 3/20 miles per minute = 0.15 miles per minute
Thus, in 1 hour = 60 minutes,
Distance covered = 3/20 × 60
Distance covered = 9 miles
Jocelyn runs 4 miles in 30 minutes
Speed of Jocelyn = 4/30 = 0.133 miles per minute
Distance covered by Jocelyn in 1 hour = 60 minutes is; 0.133 × 60 = 8 miles
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(Picture provided)
Helppppppp plsss
Answers
Answer:
100 degrees
Step-by-step explanation:
at first i thought it was a right angle but i looked at the other shape and seen it was a 80 degree angle for B, then i seen C on the same shape, so that just proved what i thought that W was on the other shape because its not a 90 degree right angle, its a bigger angle not as big as C on the other shape, but not a 90 degree angle either, so its 100 degree angle.
Help, I have no clue how to do this, My memory from 4th grade is bad ;)
Answers
Answer:
S=2
Step-by-step explanation:
the answer can not be higher than 2 because the inequality shows 9 is bigger than what is being added.
9 Is greater than or equal to 7+2
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
Let's simpify the inequality ~
[tex]9 \geqslant s + 7[/tex][tex]9 - 7 \geqslant s[/tex][tex]2 \geqslant s[/tex]So, the values equal to or less than 2 should be the required solutions ~
that is ~
[tex]s = 2[/tex]M*(x+y)+4y/(x^2-xy-y^2)=(x+2y)/(x^2-xy-Y^2),find the value of M
Answers
Answer: M = [tex]\frac{x-2y}{x+y}[/tex]
Step-by-step explanation:
[tex]\frac{M(x+y)+4y}{x^{2}-xy-y^{2} } =\frac{(x+2y)}{x^{2} -xy-y^{2} }[/tex]
M (x + y) + 4y = x + 2y (Multiply [tex]x^{2} - xy-y^{2}[/tex] in both sides)
M (x + y) = x + 2y - 4y
M (x + y) = x - 2y (Divide (x+y) from both sides)
M = [tex]\frac{x-2y}{x+y}[/tex]
simplify 2 by 5 into 4 by 7 + 21 by 35
Answers
[tex] \frac{2}{5} \times \frac{4}{7} + \frac{21}{35} \\ = \frac{8}{35} + \frac{21}{35} \\ = \frac{8 + 21}{35} \\ = \frac{29}{35} [/tex]
Answer:[tex] \frac{29}{35} [/tex]
Hope it helps.
Do comment if you have any query.
need help urgently vvvvvvv
Answers
Yw ;)
Step-by-step explanation:
you understand coordinates and how to find them in the chart, yes ?
because I can't draw here, I can only give you the points through which the line has to go.
one point is, of course, (2, -3).
to find another good point we use the slope 3/4.
the slope is the ratio of y change/x change when going from one point to another.
so, we find another point with integer coordinates by e.g subtracting the slope units from the point (addition would also work) :
the other point on the line would be
(2 - 4, -3 - 3) = (-2, -6)
and then you draw a line that goes through both points.
A middle school has 212 people. 188 are students. The rest are adults. What is the ratio of students to adults? Write your ratio in three different forms.
Answers
Answer:
24 adults
Step-by-step explanation:
because it's just subtract 212-188=24
I think
FOR A BRAINLIST PLS HURRY
Answers
Answer:
y = x
Step-by-step explanation:
line has a slope 1 and passes through the origin . So the equation is y = x
Jordan will hike a trail with the distance of 25 miles at a rate of 5 miles per hour. Write a linear equation to represent the distance Jordan still has to walk after x hours. What does the y-intercept of the equation represent?
Answers
Answer:
y = - 4 x + 20
Step-by-step explanation:
The trail is 20 miles
Each hour you go 4 miles, so you subtract that each hour
-9y + 8(4z + 3y) -6x
PLZ HELP
Answers
Answer:
15y + 32z - 6x
Step-by-step explanation:
-9y + 8(4z + 3y) -6x
=> -9y + 32z + 24y - 6x
=> 15y + 32z - 6x
Hoped this helped.
Step by step:
-9y+8(4z+3y)-6x
-9y+32z+24y-6x
15y+32z-6x
32z+15y-6x
HELP HELP!!!!!!!!!!!!!!!!!!!!!!!!!!
Answers
What is the perimeter, in meters (m), of ∆PRT?
Answers
The perimeter of a triangle is the sum of its dimensions
The perimeter of triangle PRT is 36 meters
Start by calculating the side length PT using the following equivalent ratios
[tex]\mathbf{QR : QS = PR :PT}[/tex]
So, we have:
[tex]\mathbf{3 : 8 = 6 :PT}[/tex]
Multiply 3 : 8 by 2
[tex]\mathbf{6 : 16 = 6 :PT}[/tex]
By comparing the ratios, we have:
[tex]\mathbf{PT = 16}[/tex]
So, the perimeter of triangle PRT is calculated using:
[tex]\mathbf{Perimeter = PR + RT + PT}[/tex]
Substitute values for PR, RT and PT
[tex]\mathbf{Perimeter = 3 + 3 + 7 + 7 + 16}[/tex]
Add up the figures
[tex]\mathbf{Perimeter = 36}[/tex]
Hence, the perimeter of triangle PRT is 36 meters
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The circumference of a circle is 20pi m. find its diameter,in meters
Answers
Answer:
20 mStep-by-step explanation:
Circumference formula:
C = πdSubstitute and solve for d:
20π = πdd = 20π/πd = 20If y + 6 = 45, then y = 39
Answers
Answer:
True!
Step-by-step explanation:
Athlete A rode her bike 2.5 miles. Athlete B rode her bike 3 miles. How many more feet did Athlete B ride than Athlete A?
Answers
You would have to get the number of feet in each mile which in 3 miles would be 15840 then find how many feet in 2.5 which would be 13200. To get this answers you would have to use the equation 5280x3 for the 3 miles and 5280x2.5
What is 1+1?
I really need this answer i dont know it
Answers
Answer:
2
Step-by-step explanation:
