Mathematics High School

A rectangular tank is 24 cm wide, and 30 cm long. It contains a stone and is filled with water to a height of 8 cm. When Amy pulls the
stone out of the tank, the height of the water drops to 6 cm.
Find the volume of the stone. Be ready to explain the steps you took to solve the problem on the next slide (16).
What is the formula for VOLUME?
V
What is the VOLUME of the STONE? Remember to LABEL answer

A Rectangular Tank Is 24 Cm Wide, And 30 Cm Long. It Contains A Stone And Is Filled With Water To A Height

Answers

Answer 1

Answer:

Formula for volume = length (L) × width (W) × height (H)

Volume of the stone = 1,440 cm³

Step-by-step explanation:

✔️Formula for the rectangular tank = L*W*H

✔️Volume of the stone = volume of the tank with the stone - volume of the tank without the stone

✔️Volume of the tank with the stone:

L = 30 cm, W = 24 cm, H = 8 cm (height of water when the stone was in the tank)

Volume of the tank with the stone = 30*24*8 = 5,760 cm³

✔️Volume of the tank without the stone:

L = 30 cm, W = 24 cm, H = 6 cm (height of water when the stone was pulled out)

Volume of the tank with the stone = 30*24*6 = 4,320 cm³

✅Volume of the stone = 5,760 - 4,320 = 1,440 cm³

Related Questions

If the sum of the squares of the legs of a right triangle are = to 144, the hypotenuse is...

Answers

Answer: 12

Step-by-step explanation:

H^2=144

Square root of 144

H=12

If a factor of a polynomial is x-5, what is the zero?​

Answers

Answer:

x = 5

Step-by-step explanation:

Because the factor of the polynomial is x - 5, we can infer that the zero would be the solution of this equation: x - 5 = 0

Therefore, the zero is x = 5.

PLEASE ANSWER
Bryce went to the zoo at 10:15 am, and got home at 4:40 pm. How long was he gone?
7 hours and 35 minutes
5 hours and 35 minutes
6 hours and 25 minutes
6 hours and 55 minutes

Answers

Answer:

6 hours and 25 minutes

Step-by-step explanation:

10:15 to 4:40 = 6 hours and 25 minutes

PLEASE HELP ASAP

What is the value of x in the figure?

Answers

the value of x is 25

The minute hand of a clock moves from 12:10 to 12:30 a. How many degrees does the minute hand move during this time? b.How many radians does it move during this time?

Answers

Answer:

a. 120 degrees

b. 2.0944 radians

Step-by-step explanation:

From 12:00 to 12:15 there forms a 90 degree angle. If we divide this by 3 we get that every 5 minutes the hand moves 30 degrees. Since in this scenario, the minute hand moved from 12:10 to 12:30 it, therefore, moved a total of 20 minutes so we can do the following math

20 / 5min = 4 times

4 * 30 degrees = 120 degrees

We can see that in this time it moved a total of 120 degrees. Now we can use this value to turn it into radians using the degree to radians formula

degrees * [tex]\pi /180[/tex] = radians

120 * [tex]\pi / 180[/tex] = radians

2.0944 = radians

guys i need help please


i'll give you brainliest if you can help me
this is quadratics

Answers

I would help but I’m not sure how, please do not press that link or else it will track your address! <33

Carly went for a walk and jog
• She started walking.
• After a few minutes, Carly began jogging at a faster speed than she was walking
• Carly got tired then slowed down to a slower speed than she was jogging

which graph best represents the distance Carly went?

Answers

Answer:

I believe D

Step-by-step explanation:

The reason is she starts off slowly but then keeps on gaining up and up.

One day a retail store received a box of 24 shirts. If this shipment had 6 defective shirts, what can the store expect for upcoming shipments?

F.
A box of 32 shirts will have 12 defective shirts.

G.
A box of 40 shirts will have 10 defective shirts.

H.
A box of 48 shirts will have 3 defective shirts.

J.
A box of 64 shirts will have 8 defective shirts.

Answers

Answer:

the answer is H.

Step-by-step explanation:

I have a test tmrw pls help

Answers

The answer is 5x -2y = 3

So first you would have to find the slope using the two points and the equation: y2-y1/x2-x1, which in this case means you take 6+4/3+1, which would be a slope of 10/4 or 5/2, or 2.5. Using this, we can take a point, use point slope form, and rearrange it. So:

y-6=2.5(x-3)

y-6=2.5x-7.5

-2.5x+y=1.5

An aquarium has 14 angel fish, 12 clownfish and
18 seahorses. What is the ratio of angelfish to
seahorses?

Answers

Answer:

Ratio=  7:9

Step-by-step explanation:

What is the ratio of angelfish to  seahorses?

14 angel fish : 18 seahorses

14:18 = 7:9

Jim borrows $210 from his sister at an 8% interest for seven years. How much interest does Jim have to pay?

Answers

Answer:

$117.6

Step-by-step explanation:

Formula:

I = Prt

Given:

P = 210

r = 8% = 0.08

t = 7

Work:

I = Prt

I = (210)(0.08)(7)

I = 117.6

Answer:

Step-by-step explanation:

So with 8% interest, Jim will have to pay 8% more each year. For the first year we need to multiply 210 with 1.08 to find the amount that Jim would have had to pay to his sister if he had gotten an 8% interest for 1 year. Every time the year increases we need to multiply the previous number with 1.08 because we are looking for the 8% increased value of the previous one, therefore our equation is:

P(t) = 210*(1.08)^t --> (t=time in years, P(t)=amount of money Jim need to pay back with respect to time)

Since Jim gets an 8% interest for 7 years we have to put in 7 for t.

P(7)=210*(1.08)^7

which is approximately $359.903

If y lies on a number line , and x is added to y , which of the following would be true about the location of y + x?

Answers

Answer:

Step-by-step explanation:

If x is a positive number then y + x lies to the right of y, if x is a negative number then the location of y + x will be to the left, if x is zero then y and y + x are the same point

Solve the system and determine whether it is consistent or inconsistent and dependent or independent.
2x – 4y = 10
-12x + 24y = -60

Answers

Answer is in a photo below.
It is consistent and independent.
x=25, y=10

evaluate this expression for a=3

Answers

you need more content

Combine the like terms to create an equivalent expression: − 3 k − ( − 8 ) + 2

Answers

Answer:

-3k + 10

Step-by-step explanation:

-3k-(-8)+2 = -3k + 8 + 2 = -3k +10

Answer:

-3k + 10

Step-by-step explanation:

-3k + 8 + 2 =

-3k + 10

Hope that helps!

if the domain of the function f(x)=2x^2-8 is {-2,3,5}, then the range is

Answers

Answer is in the file below

tinyurl.com/wpazsebu

Which is the correct spelling of trigonometry

Answers

Answer:

trigonometry

Step-by-step explanation:

hope this helps lovely

Answer:

trigonometry

Step-by-step explanation:

Have a great day!

A(5,1)B(x,7) C(8,2) are three points such that AB=2AC find all values of x

Answers

Wrongggggggggggggggggggggg

Find the value of x. The figures are not drawn to scale. Pis the center of the circle.

Answers

Answer:

6.7 feet i think...

Step-by-step explanation:

the middle line is 12 feet and the dot is about in the middle of the line

Answer:

6.7

Step-by-step explanation:

if you look very closely you can see the other explanation above mine

You're Welcome!

Use the Distributive Property to simplify the expression. 5(x - 1)

Answers

Answer:

5x - 5

Step-by-step explanation:

Answer:

[tex]\bold{5x-5}[/tex]

Step-by-step explanation:

Hi there!

The Distributive property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

So, we take a number a, multiply it by b and c, and then add the products.

Now, let's solve the given math problem:

[tex]\bold{5(x-1)}[/tex]

[tex]\bold{5x-5}[/tex]

Hope it helps! Enjoy your day!

~Just a teen willing to help others

[tex]\bold{-Besties4Ever:-):-):-):-):-):-)}[/tex]

At the grocery store, 4 pints of ice cream cost $7.32. How much would 20 pints of ice cream cost?

Answers

Answer:

$36.6 for 20 pints of ice cream

Step-by-step explanation:

4 pints = $7.32.

20 pints = ?

you need to cross multiply or you can just multiply $7.32. with 5.

2 - 2 help pls ill give you brainliest

Answers

Answer:

0..........

Step-by-step explanation:

Rewrite in simplest terms: 8(-10r-9)+9r

Answers

Answer:

-71r-72

Step-by-step explanation:

8(-10r-9)+9r

Distribute the 8

-80r -72  +9r

Combine like terms

-80r+9r   -72

-71r-72

can someone please explain this to me. thank you!

Answers

Answer:

b

Step-by-step explanation:

Louis wants to buy skis that have a regular price of $328. They have been marked down 25% off the regular price. Louis
calculates the new total price including tax. How much money will Louis save on the total cost because of the markdown?

Answers

Answer:

$82

Step-by-step explanation:

make 25% into a decimal which equals .25, then do 328. x .25 which equals $82

What is the volume of a sphere with a radius of 6.1 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:

V≈950.78m³

Step-by-step explanation:

Please help someone, give me correct answer to these 2 problems.

I will mark you brainliest for the correct answer.

Please help!!!!!

I need the answer to both pictures!!!!!!!

Answers

Answer:

60° 60° 60°

60°

Step-by-step explanation:

In any triangle, the sum of its interior angles is 180°, and 60+60+60=180.

As for the other question, we can see that angle5=angle1, and angle6=angle2, due to the parallelism of the lines.

Angle5+angle6=180°, therefore

Angle6=180-120=60°=angle2

hey its mathematics please and thank you

Answers

12.93 because 20.56-7.63= 12.93 <3

What is the answer to g(-9)

Answers

Answer:

-9g

Step-by-step explanation:

Move -9 to the left of g

I think this is right, sorry if it is wrong, have a great day

Amy needs to order a shade for a triangular-shaped window that has a base of 6 feet and a height of 8 feet. What is the area of the shade? The area of the shade is ft2.

Answers

Answer:

24

Step-by-step explanation:

A triangle is a three sided polygon with three edges and three vertices

There are different types of triangles. They include :

Right angled triangle - one of the angles measure 90 degreesequilateral triangle - all three sides of the triangle are equalisosceles triangle - two sides of the triangle are equal

Area of a triangle = 1/2 x ( base x height)

1/2 x (6 x 8) = 24 ft²

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