(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?

Answers

Answer 1

Answer:

A. 9

B. 7

Step-by-step explanation:

Answer 2

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

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Related Questions

Blue bird began at location (6,0) and hit the ground at (26,0). Find the quadratic equation for his flight path

Answers

Answer:

4x^4+6x^3+84x^2-3084435+3x-459304

Step-by-step explanation:

6-0=6-26=-20

A restaurant used 231 eggs last week. Of these, 46 were brown in color. The remainder of the eggs were white in color. Which equation can be used to solve for w, the number of white eggs used last week?

Answers

Answer:

231-46=w

Step-by-step explanation:

Pls help me whoo ever answers ill make u brainiest

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Bro just type the equations in on the calculator, it should give you the answers.. this too easy bro. Stop being lazy
Please me anyway you can just look it up on a calculator

I need help on this question!

Answers

Answer:

F. 10, 20, 30, 40, 50

Step-by-step explanation:

Becasue Y is the dependent varible  

Answer:

F

Step-by-step explanation:

Analyse the data.

please help plsplspslspl

Answers

Answer:it is 39

Step-by-step explanation:

39 will be your answer

A bag of marbles contains 4 red
marbles, 5 green marbles, and 3 blue marbles. Karen takes a marble out, replaces it and pulls another marble,
what is the probability both the first marble is blue
and the second marble is red?

Answers

Answer:

50%

Step-by-step explanation:

2/14 because u have 12 marbles all together plus if u have 2 extra ones that are blue then it’s 14

PLEASE HELP ANSWER ASAP

Answers

Answer:

x = 20

Step-by-step explanation:

Use Pythagorean Theorem to solve for x:

a^2 + b^2 = c^2

Plug in given values if a = 12, b = 16, and c = x (x is hypotenuse)

12^2 + 16^2 = x^2

(12*12) + (16*16) = x^2

144 + 256 = x^2

400 = x^2

Take square root of both sides to solve for x

sqrt(400) = sqrt(x^2)

20 = x or x = 20

x=20 cause pythagorean theorem

help for brainliest h

Answers

Answer:

wich one all

Step-by-step explanation:

9. (4.2 x 10^5) x (3.7 x 10^6)
420,000 x 3,700,000
1.554e+12

10. 983,700,000

11. (7.8 x 10^5) / (1.2 x 10^9)
780,000 / 1,200,000,000
0.00065
6.5x10-4

In which step does a mistake first occur?

(24 ÷ 3 + 10) - 14 ÷ 2

Step 1. (8 + 10) - 14 ÷ 2
Step 2. 18 - 14 ÷ 2
Step 3. 4 ÷ 2
Step 4. 2

Answers

Answer:

Step 3. 4 ÷ 2

Step 4. 2

these two steps are wrong

[tex](24 ÷ 3 + 10) - 14 ÷ 2[/tex]

[tex] (8 + 10) - 14 ÷ 2[/tex]

[tex] (8 + 10) - 7[/tex]

[tex]18 - 7[/tex]

[tex]11[/tex]

Note : See the explanation and get the answer

x is equal to 11 percent you’re welcome

Help please! Also don't comment if you don't know or you claim you'll 'send me the link'

Answers

Answer: Say a ball has a 260º line how would you get 57.5 to  equal 250º

Step-by-step explanation:

Its easy you will subtract 180 - 57.7 to get your answer

Answer:

122.3

Step-by-step explanation:

180 - 57.7

really.... that is not very pogchampion of you brainly :(( i didn't use any mean phrases

Answers

Answer:

POGGG

Step-by-step explanation:

What is the value of x and the measure of ∠LNM, respectively?

A. x = 25 ; ∠LNM = 155
B. x = 155 ; ∠LNM = 25
C. x = 45 ; ∠LNM = 135
D. x = 135 ; ∠LNM = 45

Pls dont put nonsense answer thank you

Answers

Linear pair of angles are of 180°. So,

45°+3x = 180°

=> 3x = 180°-45°

=> 3x = 135°

=> x = 135°/3

=> x = 45°

Answer:

Option C: x = 45, ∠LNM = 135

Step-by-step explanation:

Both the angles are supplementary which means they both add up to a straight angle or 180°;

45 + 3x = 180

=> First subtract 45 on each side of "="

3x = 135

=> Now divide both sides of "=" by 3

x = 45

Now to find measure of angle LNM, substitute in 45 for x

3x = ∠LNM

3(45) = ∠LNM

135 = ∠LNM

Hope this helps!

Study the equation below.
25 = 2x + 3
Which equation has the same solution
A 28 = 2x
B 22 = 2x
C 50 = x + 3
D 25/2 = x + 3

Answers

B) 22 = 2x

This is because we can just subtract the three from both sides

B. 22 = 2x

you'd move the 3 over from the original equation and get 22 = 2x

If the age of person A is 7 years more than that of person B and the sum of there ages is 25 years old how old is person A ? (Brainlest) This is not addition by the way

Answers

Answer:

16

Step-by-step explanation:

9+16 = 25   9+ 7 = 16

Answer:

its 25 - 7, so 18

My answer is better, much better than the other guy's he cant even math right

subtract 7 1/8-1 1/9 Simplify the answer and write as a mixed number.

Answers

Answer:

The answer is 4 1/8

Step-by-step explanation:

Answer:

The answer would be:  6 1/72 <-- ( this is as low as it can get)

~hope this has answered your question correctly , have a gr8 day/night my friend!~

Step-by-step explanation:

The radius of a circle is 3 feet. What is the circumference?

Circumference = 2 * pie * radius

Geometry

Answers

Answer:

19 feets

Step-by-step explanation:

Given that , the radius of the circle is 3 feet . We need to find the circumference.

We know that the circumference of circle is 2πr . So ,

=> C = 2 π r

=> C = 2 × 22/7 × 3ft

=> C = 18.84 19 ft

Hence the circumference of the circle is 19 feet.

Answer:

B

Step-by-step explanation:

circumference = 2πr

3.4x 2 x 3 = 18.84

guys, can I have some help?

Answers

Answer:

1

Step-by-step explanation:

5 - 1 + 12 = 16

5-1=4

4+12=16

4+12=16 so A is the answer

What is the value of x?

Answers

Answer:

x = 24

Step-by-step explanation:

(2x - 4) + (3x + 5) + (2x + 11) = 180°

Combine like terms:

7x + 12 = 180

Subtract 12 on both sides:

7x = 168

Divide 7 on both sides:

x = 24

X=24 in this equation.

please help (no links or you will reported)

Answers

Answer:

16 rolls of ribon

Step-by-step explanation:

C = Dπ

d = r x 2

d = 100 x 2

d = 200

C = 200 x 3.14

C = 628

628 / 40 = 15.7

she should buy 16 rolls

The answer I got would be 16 rolls per each ribbon

Mr. Torres spent $40.00 to buy 18 pounds of ground beef and chicken for a family to cook out. If the price of ground beef was $4.00 per pound and the chicken was $2.00 per pound, how many pounds of each did he buy?

Answers

Answer:

They bought 2 pounds of ground beef and 16 pounds of ground chicken.

Step-by-step explanation:

Let b be the beef, and c be the chicken:

b + c = 18, the pounds of beef and the pounds of chicken added equal 18 pounds

4b + 2c = 40, the beef costs 4 dollars per pound and the chicken costs 2 dollars per pound. They add up to 40 dollars total.

Use the equation b + c = 18 and subtract c from both sides to get b = 18 - c. We replace this equation with b in 4b + 2c = 40 to get 4(18 - c) + 2c = 40 because b is 18 - c.

Now we solve for c:

4(18 - c) + 2c = 40

Simplify:

72 - 4c + 2c = 40

Combine Like Terms:

72 - 2c = 40

subtract 72 from both sides:

-2c = -32

Divide Both Sides by 2:

-c = -16

Make the Equation Positive:

c = 16

Okay cool, now we know that they bought 16 pounds of chicken, to find out how much beef the bought, replace c by 16 in b + c = 18 to get b + 16 = 18

b + 16 = 18

Subtract 16 from both sides:

b = 2, they bought 2 pounds of beef

To check, replace c with 16 and b with 2 in 4b + 2c = 40 to get

4(2) + 2(16) = 40

Multiply:

8 + 32 = 40

40 = 40

The equation is true

2 pounds of ground beef
16 pounds of chicken

is it true that Two cylinders with the same surface area can have different capacities

Answers

Answer:

Yes

Step-by-step explanation:

Yes it is true that Two cylinders with the same surface area can have different capacities

20 POINTS Determine the sample space for completing three days of chores. Use the abbreviation M for Maddie, P for Paige, and O for Odelia and create a list of all the possible outcomes.

Answers

Step-by-step explanation:

ight or flight response, causing the adrenal glands to flood the body with stress hormones, such as adrenaline, and t

Answer:

EXACT ANSWER ON PLATO/ EDMENTUM!!!!!!!111

Step-by-step explanation:

( its a table)

M M M P P P O O O

M M P P P M O O M

M M O P P O O O P

M O M P M P O M O

M O P P M M O M M

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M P M P O P O P O

M P P P O M O P M

M P O P O O O P P

2. PLS HELP NO LINKS JUST ANSWERS THANKS

Answers

The answers are A, C, and D

he required answers are:

11. The statements about the graph that are true are:

The point (0,0) shows the cost is $0.00 for 0 pounds of cheese.

The point (0.5,2) shows that 0.5 pound of cheese costs $2.00.

The point (1,4) shows the cost is $4.00 for 1 pound of cheese.

12. The equation with a constant of proportionality equal to 4 is "4y."

The following statements about the graph are true:

The point (0,0) shows the cost is $0.00 for 0 pounds of cheese.

The point (0.5,2) shows that 0.5 pound of cheese costs $2.00.

The point (1,4) shows the cost is $4.00 for 1 pound of cheese.

The statement "The point (0.25,1) shows the cost is $0.25 for 1 pound of cheese" is not true because the given point does not appear on the graph.

The statement "The point (2,8) shows that 8 pounds of cheese cost $2.00" is also not true because the y-value of the given point is 8, not 2.

Among the given equations, the equation that has a constant of proportionality equal to 4 is "4y."

Hence, the required answers are:

11. The statements about the graph that are true are:

The point (0,0) shows the cost is $0.00 for 0 pounds of cheese.

The point (0.5,2) shows that 0.5 pound of cheese costs $2.00.

The point (1,4) shows the cost is $4.00 for 1 pound of cheese.

12. The equation with a constant of proportionality equal to 4 is "4y."

Learn more about proportional relationships here:

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Help Pleaseeeeeeeeeeee

Answers

The answer is 2 1/4 hope this helps !

What is an equation of the line that contains the point (3,1) and (6,0)?
A. y = -1/3x + 6
B. y = -1/3x + 2
C. y = 1/3x - 2
D. y = 2x - 5
E. y = 2x + 2

Answers

The answer is C
0=(1/3)(6/1)-2
0=0
So yes C is the answer

Identify all the sets to which the number belongs. Choose from rational number, irrational number, whole number, an integer.

1.256

Answers

Answer:

Rational

Step-by-step explanation:

The number 1.256 is a fraction of two whole numbers, 1256 and 1000. You need a fraction of two integer or whole numbers to create a rational number.

I have no clue on how to do this rn

Answers

Answer:

The answer for A is yes, there is a relationship between the number of pixels and the are of the screen.

The answer for B. is p = 5184 * a.

Answer:

a.yes

b.p=5.184*an

What is the area of the figure in square centimeters?


Sandra used a square, a semicircle, and a right triangle to form the figure shown.

Answers

8 times 8 = 64 that is your area. Area is equal to length times height so multiply base times height

Answer:

105.12 squared cm.

Step-by-step explanation:

Square:

8*8 = 64

Semi Circle:

A = pi * 4^2/2

50.24/2

25.12

Triangle:

(4*8)/2 = 16

64 + 25.12 + 16 = 105.12

Can someone please help me with this math question and please explain how you got your answer (no random links please )

Question:

A t-shirt was originally priced at $25 and is now $37. Find the percent of increase.​

Answers

Answer:

It was a 48.00% change

Step-by-step explanation:

It increased by 48%

Terrell is planning a trip he begins looking for plane tickets on Monday the cost is $415.65 the website alerts fin that prices Will Rise by 1 1/4% of Monday's cost for each of the next three days and then I expected to fall by 0.89% of the original price on the fourth day what is a reasonable estimate for the cost of the ticket on Fourth Day writing Expressions you used to solve.

Answers

Answer:

536.74

Step-by-step explanation:

I think so

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