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.
Can someone please tell me the answer to this?
Answer:
look at the picture ..........
Answer:
x³
Step-by-step explanation:
x × [tex]x^{5}[/tex] = [tex]x^{6}[/tex]
[tex]x^{2}[/tex] × [tex]x[/tex] = [tex]x^{3}[/tex]
[tex]\frac{x^6}{x^3}[/tex]= x³
what is 10 3/12 simplified??
Answer:
10 1/4
Step-by-step explanation:
Write a linear equation that describes the problem.
What problem. You didn't attach anything or put it in the question.
Surface area I need help !!!
Answer:
75.4 to 1 decimal place
If you want an explanation comment on the answer.
PLS HELP WILL MARK BRAINLIEST!
Answer:
I think the answer is B.
Step-by-step explanation:
Answer:
c. 81x^2 -4y^2
Step-by-step explanation:
Area of full square - area of white square.
A gopher lives in an underground burrow. It starts at a certain point, p, underground and digs straight down to triple its distance under
the surface. It then climbs straight down another 2 feet. Its final position is deeper than 8 feet under the surface.
What was the gopher's original position, p, relative to the surface?
Enter your answer in the box to complete the inequality
Answer:
<-2
Step-by-step explanation:
Kendra saw a calculator on sale for $68.25. The original price of the calculator was $89.99.
NO LINKS!!!!!!!
What is the approximate discount on the calculator?
20%
25%
30%
35%
Answer:
A 20
Step-by-step explanation:
If you subtract 89.99 -68.25 you will equal 20
Subtract 27 from a number K
Answer:
K - 27
Step-by-step explanation:
You would have to subtract 27 from the number K, so it would be K - 27
4x+3y=2 solve for y pls help omg i cant
Answer: 3 y = 2 − 4 x
Step-by-step explanation: 3 y = 2 − 4 x
Annie bakes cookies and cupcakes in a ratio of 5 to 1 for her gift boxes. Her school needs 36 desserts to sell in a bake sale. How many cupcakes will she bake? How many cookies will she bake? Explain your answers.
Answer:
30 cookies and 6 cupcakes
Step-by-step explanation:
5+1=6
5:1=6
?:?=36
36/6=6
5x6=30
1x6=6
30 cookies
6 cupcakes
There are 190 people on the beach. 110 are wearing sunglasses, 70 are wearing bathing suits, and 95 are wearing a hat. Everyone is wearing at least one of these items. 30 are wearing both bathing suits and sunglasses. 25 are wearing both bathing suits and a hat. 40 are wearing both sunglasses and a hat. How many people are wearing all three items
190=110+70+95−(30+25+40)+x190=110+70+95−(30+25+40)+x
Simplifying, we get that x=10x=10.
its 10
A sunflower grows to be 200cm tall. After four weeks, it was 30% of this height. How tall
was the sunflower after four weeks?
Answer:
60cm
Step-by-step explanation:
200*3/10=20*3=60
20 points answer please
Answer:
just d
Step-by-step explanation:
Hope this helps!❆
How many ways are there to put 5 balls in 2 boxes if the balls are not distinguishable and neither are the boxes
Answer: I was thinking (5,0), (4,1), and (3,2) for a total of 12 ways.
Step-by-step explanation:1
It is 3: the partitions of 5 into ≤2 parts.
Select the correct answer.
Which statement is a converse of p?
p: If every fourth card drawn is a spade, then 25% of the cards in a deck would be spades.
A. If 25% of the cards in a deck are spades, then every fourth card drawn would be a spade.
B. If every fourth card drawn isn't a spade, then 25% of the cards in a deck aren't spades.
C. If 25% of the cards in a deck aren't spades, then every fourth card drawn wouldn't be a spade.
D. If every fourth card drawn isn't a spade, then 75% of the cards in a deck are spades.
C is the correct answer.
Which inequality has the graph shown below?
Answer:
the 1 one
Step-by-step explanation:
Answer:
the answer is the first graph :)
Step-by-step explanation:
lmk if you need and explanation
hope this helps!❄︎
Consider the line y=3x-3 .
Find the equation of the line that is parallel to this line and passes through the point(7, 4) .
Find the equation of the line that is perpendicular to this line and passes through the point (7, 4).
Answer:
4.7
Step-by-step explanation:
If m∠2=6x+8 and m∠6=8x-6, find the value of x so that l||m.
Answer:
x = 7
Step-by-step explanation:
∠2 and ∠6 are known as alternate interior angles. These angles equal one another. Set up the following equation and solve for x.
[tex]m\angle2=m\angle6\\\\6x+8=8x-6\\\\8=2x-6\\\\14=2x\\\\7=x[/tex]
1). A home repair crew charges seventy-five dollars per day plus two hundred fifty-five
dollars for each hour the crew works. One day the crew works c hours and charges a
total amount of one thousand, six hundred five dollars. How many hours does the crew
work?
Answer:
Approx 3 hours.
Step-by-step explanation:
750 + 255c = 1605
255 c = 855
c = approximately 3 hours.
Answer:
The crew worked 6 hours.
Step-by-step explanation:
$255 x 6 = $1530
Add the "Per Day Fee" of $75
$1530 + $75 = $1605 Dollars
Where can Anne be found in the video?
This is the only known video of Anna frank. Answer using a single word,and lower case letter
Answer:
Step-by-step explanation:
An instant best-seller and eventually translated into more than 70 languages, The Diary of Anne Frank has served as a literary testament to the nearly six million Jews, including Anne herself, who were silenced in the Holocaust. The Frank family’s hideaway at Prinsengracht 263 in Amsterdam opened as a museum in 1960
srry i dont know but here
1. 1. MP.5 Use Appropriate Tools Carla had a piece of rope that was 14 in. long. She used some of the rope for a crafts project. Now there is 14 in. left. How much rope did she use? Use the number line to help.
Answer:
4/8, 1/2
Step-by-step explanation:
7/8 - 3/8 = 4/8
4/8 >>> divide both by 4
4 divided by 4 = 1
8 divided by 4= 2
1/2 Inches
Two parallel chords PQ and MN are 3 cm apart on the same side of a circle where PQ = 7 cm
and MN = 14 cm. Calculate the radius of the circle.
https://www.algebra.com/algebra/homework/Circles/Circles.faq.question.407869.html
what is the slope and the y-intercept of the line y=5x+7
Step-by-step explanation:
you really could not find this faster right away by a search on the internet ?
the general line equation is
y = ax + b
a is always the slope, and b is the y-intercept (the y value when x = 0).
so, the slope here is 5, and the y-intercept is 7
7.6.1 Determine the new dimensions of the follo figures below given the scale factor: 1 Scale Factor of 1/4 4 U! 6 15 in 12 in
Answer: at least 2
Step-by-step explanation: idek
Apple pie is my favorite. I bake a lot of it because i never got my fair share as a kid. Last year I got a little carried away and had 7 1/4 pies left over. I cut the pie into pieces to freeze and save for later. Each piece as 1/8 of a whole pie. How many pieces of pie did I freeze?
Answer:
58
Step-by-step explanation:
You would have to turn 7 1/4 into a whole fraction.
Do,
7 * 4 = 28
28 + 1 = 29
Your new fraction would be,
29/4
Now you have to make them equal denominators with 1/8.
Lets see,
Now multiply 4 * 2 is 8.
So multiply 29 times 2.
Which is 58.
Your new fraction is,
58/8
So therefore you would have 58 pieces.
f(x) = -x2
Domain and range
Answer: answer in attachment.
Answer:
Hindi ko na to I answer may nag answer na e
Explanation:
Brainlest po please please follow ko po kayo promisebasta brainlest mo ako
What is the slope of this line?
Step-by-step explanation:
the slope of the line is expressed as the ratio
y coordinate change / x coordinate change
when going from one point to the other.
the trick in such a situation is to find good points on the chart that are crossed by the line. and by "good" I mean points with round integer coordinates.
I see 2 such points :
(-2, 3) and (0, -3)
x changes by +2 (from -2 to 0)
y changes by -6 (from 3 to -3)
the slope is -6/+2 = -6/2 = -3
Rewrite x2 - 8x + 13 = 0 in the form (x -a)2= b, where a and b are integers, to determine the a and b values.
O a = 4 and b = 3
O a = 3 and b = 2
O a= 2 and b = 1
O a = 1 and b = 4
Answer:
a =4 and b= 3
Step-by-step explanation:
Stare at it for a bit. You have the squre of x, then(ignoring the minus sign) 2 times x times 4. What's left is the square of 4, which is 16; you have 13, you are 3 short. Let's add them to both sides:
[tex]x^2-8x+13+3=3 \rightarrow x^2-8x+16 = 3\\(x-4)^2 = 3[/tex]
so a =4 and b= 3
An auditorium seats 48 students per row. A total of 1665 students are in the auditorium today. All the rows are full except for the front row. a. How many rows are in the auditorium? There are rows in the auditorium.
There are 35 rows in the auditorium.
What is Division method?Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
An auditorium seats 48 students per row.
And, A total of 1665 students are in the auditorium today.
Now,
Since, An auditorium seats 48 students per row.
And, A total of 1665 students are in the auditorium today.
Hence, Number of rows in the auditorium = 1665 / 48
= 35
Thus, Number of rows in the auditorium = 35
Learn more about the divide visit:
https://brainly.com/question/169670
#SPJ2
-12=24+b how do I solve this
Answer:
b = -9
Step-by-step explanation:
-12 = 24 + 4b [tex]\longmapsto\\[/tex] Subtract 24 from both sides
-12 - 24 = 24 + 4b - 24
-36 = 4b [tex]\longmapsto\\[/tex] Divide all sides by 4
-36 ÷ 4 = 4b ÷ 4
-9 = b
-Chetan K
Answer:
-9 = b
Step-by-step explanation:
-12 = 24 + 4b
-12 - 24 = 4b
[tex]\frac{-36}{4} = \frac{4b}{4} \\[/tex]
Hope this helps!