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
solve the equation
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Answers
x=13+14
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tenths x 30 =
Answers
Answer:
4.5 x 30 = 135
0.1 x 30 = 3
Hint: something multiplied by 0.1 is the same as that same thing divided by 10.
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Answers
Answer:
x=10
Step-by-step explanation:
Make 2x the only variable on the left side of the equation. Do that by taking 3 and 5 to the left. Note: if you move/transpose any number the sign must change.
2x = 18+5-3
2x=20
Divide both sides of the equation by 2 to make x the only variable left.
x=10
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Answers
Answer:
The next day they will both run on the path is July 27th.
We can find this by making columns writing every date and seeing when they intersect.
4 5
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Step-by-step explanation:
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y varies inversely with x and x= 3 when y =10. What is the value of y when x=6?
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Answers
Answer: Y=20
Step-by-step explanation:
X is doubled from 3 to 6 meaning that y is also doubled.
Double 10 is 20 so y=20.
Which ratio is equivalent to 5:9?
O 10:36
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O 20:27
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Answers
Given the triangle below and the equation: sin A = 3/5.
Determine the value of b.
Answers
Using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
Recall:
The trigonometry ratio is used in solving a right triangle, having, hypotenuse, adjacent, and the opposite side, given a reference angle.Trigonometry ratios are: SOH CAH TOAPythagorean Theorem is given as: [tex]c^2 = a^2 + b^2[/tex], where c is the longest side (hypotenuse).Given the trigonometry ratio of sin A = 3/5
Recall that, sin ∅ = opp/hyp (SOH)
Thus, this means that, in sin A = 3/5,
A = ∅3 = opposite side, which corresponds to a in the given triangle.5 = hypotenuse, which corresponds to c in the given triangle.b is therefore the adjacent sideThus, find the value of b by applying the Pythagorean theorem.
[tex]b = \sqrt{c^2 - a^2}[/tex] (Pythagorean Theorem)
Substitute[tex]b = \sqrt{5^2 - 3^2}\\\\\mathbf{b = 4}[/tex]
Therefore, using the trigonometry ratio and Pythagorean Theorem, the value of b in the triangle is: 4.
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Answers
How many 3/4s are in 2? Draw a tape diagram
Answers
Answer:
8/3, or 2 if you want a whole number
Step-by-step explanation:
Well, the simple answer is 2/(3/4). This is nothing but 2*4/3, which is just 8/3. (I used the theorem that states that dividing is the same as multiplying by the reciprocal)
What is the length of the triangle shown below
Answers
[tex]\cos \theta = \dfrac{\text{Base}}{\text{Hypotenuse}}\\\\\\\cos 45^{\circ} = \dfrac{s}{10\sqrt 2}\\\\\implies \dfrac 1{\sqrt2} = \dfrac{s}{10\sqrt 2}\\\\\\\implies \dfrac s{10} = 1\\\\\implies s= 10[/tex]
PARALLEL PERPENDICULAR OR NEITHER OR SAME LINE
Answers
Answer:
Parallel
Step-by-step explanation:
Solving the equations, we come out to:
A. y = 1/4x + 1
B. y = 1/4x - 1
This would make the lines Parallel because the slope is the same
a 84m2 b 111m2 c 125m2 d 150m2
Answers
Answer:
B
Step-by-step explanation:
:)
Answer:the answer is 84m2
Step-by-step explanation:
Ashley plays in the band. She brought eighty-four snacks to school for her band friends and she has twenty-one friends. How many snacks does each person receive?
Answers
Answer:
B. 4 steps
Step-by-step explanation:
[tex]84 \div 21 = 4[/tex]
just divide total number of steps by number of friends to derive the answer.84 snacks
21 friends
to find:how many snacks each of her friend gets.
solution:[tex] \frac{84}{21} [/tex]
[tex] = 4[/tex]
hence, each of her friend will get 4 snacks.
answer= option B
A cake measures 18 centimeters in diameter. Find how much room there is to spread frosting on the top of the cake.Complete the answer sentence. You may consider writing your answer to the hundredths place and using the calculator to help you solve.
Answers
Diameter=18
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2*9*pi
18pi= 56.5(1dp)
a square table has am area of 15476cm^2 find the perimeter of the square
Answers
Answer:
497.6 cm to 1 decimal place.
Step-by-step explanation:
→ Square root the area to find the length
√15476 = 124.4025723
→ Multiply the answer by 4 to get the perimeter
124.4025723 × 4 = 497.6102893
Answer:
497.6 cm
Step-by-step explanation:
Perimeter = 4 x a
Since area is given we must square root a
P = 4 x square root ([tex]\sqrt{15476}[/tex])
P = 4 x (124.40)
P = 497.6 cm
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Answers
Step-by-step explanation:
1. First divide by the leading term, making the polynomial monic.
2. Then, given x
2 + a1x + a0, substitute x = y − a1 to obtain an equation without the linear term.
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4. Once this is done, recover x using the fact that x = y − a1
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Answers
The correct answer is E. A fundamental basis of regression analysis is the assumption of the existence of two independent variables for every dependent variable.
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WILL GIVE BRAINLISET
Find the equation of the straight line parallel to the y-axis and pass through the point (-2, 3). _____
Answers
Explanation
The equation of a line parallel to y axis is
x = k where k is constant. …..(1)
It is given that the line parallel to y axis passes through the point (-4,-5).
Therefore (-4,-5) will satisfy equation (1)
Hence , -4 = k
Equation (1) becomes
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Answers
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A = (w)(l) A = (9)(13) A = 117 units^2
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Answers
Answer:
If the number your dividing has a decimal, move the decimal point all the way to the right, counting how many spaces you have moved it. Then, move the decimal point in the number you're dividing the same number of places to the right.
Step-by-step explanation:
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Answer:
I cant even see anything can you reupload your answer, please?
Step-by-step explanation:
How to multiply decimal numbers.
Answers
Answer:
To multiply decimals, first multiply as if there is no decimal. Next, count the number of digits after the decimal in each factor. Finally, put the same number of digits behind the decimal in the product.
Step-by-step explanation: Hope it helps!!!!
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Please help!!!!! (worth 45 points)
Answers
Answer:
5 + (-5) and 8 + (-8)
Step-by-step explanation:
Sum of zero means when you add them you get 0
so the others are wrong
-5 + (-5) = -10 because you have -5 and you add another -5
-12 + (-12) = -24 you start with -12 and you add another -12
Think of positive and negative numbers like floors in a building. Positive numbers are the stories and the negative numbers are the basement and sub-basement, zero is the ground level. So for 5 + (-5) you go up 5 floors, then you go down 5 floors. you end up on the ground level, 0.
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Answers
Answer:
Eq
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slope m=2/9
what is the sum of the polynomials
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Answers
Hope this helps.
Step by step:
Just ask! I will add it here :)
Answer:
[tex]9x^{2} - 12y^{2} - 11x[/tex]
Step-by-step explanation:
[tex](8x^{2} - 9y^{2} - 4x) + (x^{2} - 3y^{2} -7x)\\(8x^{2} + x^{2} ) + (-9y^{2} - 3y^{2} ) + (-4x - 7x)\\9x^{2} - 12y^{2} - 11x[/tex]
In the first step, I rearranged the equation and put like terms together.
Then I just combined the like terms.
I hope this helps!
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Answers
Answer:
What is this question asking? If you give me a question to answer I can help you.
Step-by-step explanation:
Walter used the iterative process to determine that âš13 is between 3. 61 and 3. 62. Analyze Walter’s estimation. Is he correct? If not, what was his mistake? Yes, Walter is correct. No, 3. 612 is less than 13. No, both 3. 612 and 3. 622 are greater than 13. No, both 3. 612 and 3. 622 are less than 13.
Answers
Iterative is used when the equations cannot be solved simply.
The given value is put in the equation to solve.
Walter estimation is incorrect.
No, both 3. 61^2 and 3. 62^2 are greater than 13.
First he checks that is 13 between 3.61 and 3.62.
But suppose he cannot because he wants to use iteration.
Suppose he squares both the numbers 3.61 and 3.62 to determine if 13 is between the two numbers.
3.61² = 13.0321 and
3.62² =13.1044
We see that when both the numbers are squared then the answer in each case is greater than 13.
Therefore 13 cannot lie as both numbers are greater than 13.
Hence 13 does not lie between 3.61 and 3.62
From the given choices the best choice is No, both 3. 61^2 and 3. 62^2 are greater than 13.
The iterative can also be understood by the following links.
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there are 30 students in Mr. Robert's classroom. 45% of the students ride the bus how many students ride the buss?
Answers
Answer:
About 13 students
Step-by-step explanation:
30*45%=13.5
13.5<14
How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
A. Two solutions.
B. No solutions
C. Infinitely many solutions
D.One solution
Answers
Answer:
c. infinitely many solutions