(geometry) This zigzag crystal vase has a height of 12 inches. The cross sections parallel to the base are always rectangles that are 5 inches wide by 4 inches long.
(a) If we assume the crystal itself has no thickness, what would be the volume of the base?
(b) The crystal is actually half an inch thick on each of the sides and on the bottom. Approximately how much space is contained within the vase?
Answer:
A. 9
B. 7
Step-by-step explanation:
a) The volume of the base of the crystal is 240 inches³
b) The space contained by the vase of the crystal is 24 inches³
What is the volume of a Cuboid?A cuboid is defined as a three-dimensional shape, that has six rectangular faces, eight vertices and twelve edges
The volume of a cuboid is the product of its length , width and height
The volume of the cuboid is given by
Volume of Cuboid = Length x Width x Height
Given data ,
(a) Since the cross sections are always cuboids that are 5 inches wide by 4 inches long, the area of each cross section is 5 x 4 = 20 square inches. Since the vase has a height of 12 inches, the volume of the vase is equal to the product of the area of the base and the height, which is 20 x 12 = 240 cubic inches.
(b) If the crystal is half an inch thick on each of the sides and on the bottom, then the dimensions of each cross section are 5 inches by 4 inches by 1 inch (since each side of the crystal adds half an inch to the length and width of the rectangle). The volume of each cross section is therefore 5 x 4 x 1 = 20 cubic inches.
However, since the crystal takes up half an inch on each side, the actual space contained within the vase is reduced by 2 x (5 + 4 + 0.5 + 0.5) x 12 = 216 cubic inches (where 5 + 4 is the sum of the lengths and widths of the rectangle, and 0.5 + 0.5 is the thickness of the crystal on each side).
Hence , the approximate space contained within the vase is 240 - 216 = 24 cubic inches
To learn more about volume of cuboid click :
https://brainly.com/question/29568631
#SPJ3
A cone has a height of 10 yards and a diameter of 8 yards. What is the volume?
Answer: 167.55 units cubed
Step-by-step explanation:
To find this, you must know the formula for a cone. The area is A=πr(r+h2+r2). We can get that the A=π4(4+102+(4)2). We got this from plugging in the numbers. The radius is equal to half the diameter, so the radius is 4. The answer is 167.55 units cubed.
What is the simplest form of 3(0.44r-2.1)-2.1(r-0.3)
Answer:
−0.78r − 5.67
Step-by-step explanation:
The cost of 7 scarves is $82.25. What is the unit price?
Answer:
$11.75
Step-by-step explanation:
To find a unit price you must divide the price by how many objects bought.
So I divided 82.25 by 7
When I did this I got 11.75
This means each scarf costs $11.75
I need help with understanding these, if you could put (at least half of) the answers with a slight explanation it would help A LOT!!!!
Answer:
khan videos
Step-by-step explanation:
hi, i recommend to look at khan academy's videos, they are free and you can learn a lot from it. good luck with your math!
Answer: x(x-4)+2(x-4)=0 The answer is
=4
= −2
Step-by-step explanation:
Distribute, Then Cobine the like terms, Then you get your solution
(i would go further into explanation but its kinda hard to explain)
1.Which of the following lines are shown in the drawing
A.LI
B.GJ
C.CJ
D.BE
E.FA
2. Which lines shown in the drawing are parallel?
A.EI AND EF
B.CE AND HJ
C.AK AND GI
D.HK AND BE
3. Which of the following angles are shown in the drawing?
∠BDE
∠CEL
∠LIJ
∠ADG
Answer:
1. A, B, D, E
2. B, D
3. B, C
Step-by-step explanation:
Find the length of the missing side. Round to the nearest
tenth if necessary.
Answer:
The one tat makes the most logical sense is D
Step-by-step explanation:
I tried buh then ii forgot how to find the answer
Answer:
603.19
Step-by-step explanation:
can i have brainliest
Answer: 150.8
Step-by-step explanation: Explanation below.
please help ill give brainliest
Answer:
She spent over $3.00 .
If i'm wrong sorry I didn't get the Question
What is the x-coordinate of the solution to the system of equations shown below?
y-2x=4
3x-5y=15
a. -6
b. -5
c. 5/3
d. 5
Antonio is in a bowling league. His goal is to score an average of at least 100 points per game. His scores so far are 105,95,97,82, and 110. How many points can Antonio score in his next game to reach his goal? Show your work.
Antonio can score in his next game a score of 111 to reach his goal.
What are Arithmetic operations?Arithmetic operations are the basic part of mathematics which combines the basic operations like addition, subtraction, multiplication and division.
Given that,
Antonio is in a bowling league. His goal is to score an average of at least 100 points per game.
Total number of games = 6
If each game score is at least 100, total number of scores must be at least 6 × 100 = 600
Scores got so far = 105 + 95 + 97 + 82 + 110
= 489
Score needed for the next game = 600 - 489 = 111
Hence the score needed in the next game is 111.
Learn more about Arithmetic Operations here :
https://brainly.com/question/25834626
#SPJ3
PLZZZZZZ HELP IM GIVING 20 BRAINLY
Answer:
4/5
Step-by-step explanation:
Answer:
Hi, there your answer will be 4/5.
Hope this helps :)
Step-by-step explanation:
I NEED HELP ON THIS TOOOO!!
PLEASE NO FILES OR I WILL REPORT!
Answer:
Option 3 satisfies the equation y = -2x + 1.
Step-by-step explanation:
7 = -2*-3 + 1 makes sense
-5 = -2*3 + 1 also makes sense
-9 = -2*-9 + 1 is correct
Have a nice day!
Consider the following statement: Two sets of data with the same mean will also have the same variability. Do you agree or disagree with this statement? Explain.
The statement is false and same mean can have different variability
What is Mean?The mean value in a set of numbers is the middle value, calculated by dividing the total of all the values by the number of values.
Mean = Sum of Values / Number of Values
Given data ,
Let the mean of the data be represented as M
Now , The mean is a measure of central tendency that represents the average value of a set of data, but it does not provide information about the variability or spread of the data.
For example, consider the following two sets of data:
Set 1: 1, 2, 3, 4, 5 (mean = 3)
Set 2: 0, 2, 3, 4, 6 (mean = 3)
Both sets have the same mean of 3, but Set 1 has a smaller range (4) compared to Set 2 (6). The range is a measure of variability that represents the difference between the maximum and minimum values in a set of data.
Hence , two sets of data with the same mean can have different variability,
To learn more about mean click :
https://brainly.com/question/15526777
#SPJ2
A basket of snacks contains 8 packs of oreos, 2 bags of chips, 6 packs of gummies, and 4 granola bars. What is the probability a pack of oreos is chosen, replaced, and then a pack of gummies are selected second?
MATH PROBABILITY
PLEASE HURRY
FRACTIONS IN SIMPLEST FORM
NO LINKS
Answer:
8/20*6/20=3/25
the probability is 3/25
In Miron's class, there are 25 students. 3/5 of the students are boys. How many of the students in his class are boys?
Answer:
15
Step-by-step explanation:
to find it we must do this equation:
(25/5) * 3
5 * 3 = 15
To check :
15/25 = 3/5
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
No link/pic just type pls
Answer:
If you said its the height it would be 21
Step-by-step explanation:
The height is on the side
Can someone please help I asked earlier but no one is answering!
Answer:
a) 4x+6
b) 28
Step-by-step explanation:
The perimeter is equal to 1+x+1+x+1+1+1+x+1+x.
Simplifying we have 4x+6.
If we plug in 5.5 for x, we get 4*5.5+6=28
need help 8th grade math
Answer:
60°
Step-by-step explanation:
outside angle = two opposite inside angles
10x - 45° = 4x + 3x
3x = 45°
x = 15°
m∠B = 4x
m∠B = 4(15°)
m∠B = 60°
pls pls help meee pls
Answer:
Hey , Listen we'll help you with whatever it is but please write the question in the comments, and I promise i'll edit my answer.
I keep getting the same answer, please give an explanation and answer
I put (4/3) (3.14) <(which is the pie sign) (18^3) and I got 24429.
I don't see any answer choices
Answer: 3052 ft^3
Step-by-step explanation: The radius is not 18, it's 9. 18 is the diameter. Hope this helped you!
Extra points!!. What percentage of the data values are greater than 78?
A figure was created using a rectangle and a triangle. Using the dimensions provided, to find the area of the figure in square feet.
A 18 ft²
B 49 ft²
C 61 ft²
D 82 ft²
Answer:
B. 49
Step-by-step explanation:
For the rectangle:
10 • 4 = 40
For the triangle:
3 • 6 = 18
18/2 = 9
Add them together:
40 + 9 = 49
And there you have it!
Hope this helps, good luck :)
can someone please solve these equations asap with step by step explanation you can also write an answer in the comments if u are unable to answer
1.7x × 2y - 4y × 3x
2.3x × 2x - 4y × 3y
3. (4x)(5x) - (5x)(4x)
[tex]1.7x \times 2x - 4y \times 3x \\ 7x \times 3x - 4y \times 2y \\ 21x ^{2} - {8}y^{2} \\ 2.3x \times 2x - 4y \times 3y \\ 6x ^{2} - {12y}^{2} \\ 3.4x \times 5x - 5x \times 4x \\ {20x}^{2} - {20x }^{2} \\ 0 [/tex]
A fourth neighbor said, "My age is the difference between twice my age in 21 years and twice my age 21 years ago". How old is the fourth neighbor? Pls, answer ASAP.
Answer:
84
Step-by-step explanation:
i haaaave no idea what 2 type here
Answer:
6 positive tiles
Step-by-step explanation:
There are 6 negative tiles so you would need 6 positive tiles to cancel out the 6 negative ones.
Simply put: -6 + 6 = 0
Hope that helped! Good luck! :)
Please match the shapes with the answer! Solve too!
Answer:
I think that the first one id D but many be if you get a better pic zi could help with the rest its a bit hard to count all the squares bc its a tadbit blury
Step-by-step explanation:
A submarine was located 200 feet below sea level. If it ascends 55 feet and then drops 87 feet, then which integer represents the new position of the submarine? Answer choices: -342 ft, -255 ft, -232 ft, 232 ft. Please tell me how you got the answer!!
Answer:
-232
Step-by-step explanation:
Which image below is an acute triangle?
Triangle A has angles measuring ninety five degrees, forty five degrees, and thirty degrees. Triangle B has angles measuring one hundred degrees, twenty five degrees, and twenty five degrees. Triangle C has angles measuring fifty degrees, sixty five degrees, and sixty five degrees. Triangle D has angles measuring thirty degrees, one hundred ten degrees, and twenty degrees.
Triangle A
Triangle B
Triangle C
Triangle D
Answer:
Triangle C
Step-by-step explanation:
An acute angle is less than 90 degrees, Triangle C has angles measuring fifty degrees, sixty five degrees, and sixty five degrees. Those numbers are less than 90 degrees. So Triangle C is an acute angle.
HELP PLS I NEED THIS FOR MY GRADE TO IMPROVE
Answer:
im not sure but i need points
Step-by-step explanation: