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

How do you write 3x to the -5 power using only positive exponents?

Answers

Negative:

(3x)^-5

Positive:

(1/3x)^5



10) 3x + x + x + x - 3 - 2 = 7 + x + x
In the equation above, what is the value of x?

Answers

Answer:

Step-by-step explanation:

x=3

Alright fam, help me out here with these angles thanks!

Answers

Answer:

m∠3 = 127°

Step-by-step explanation:

From the given picture,

Two parallel lines have been given.

Angle 3 and another angle measuring 53° are located on a point of a straight line.

Therefore, both the angles will be supplementary.

m(∠3) + 53° = 180° [Property of supplementary angles]

m(∠3) = 180° - 53°

          = 127°

The official all-time high temperature in Osoyoos, B.C., was 43°C in July 1998. The official all-time low temperature was –21°C in February 1996. What is the difference between the two temperatures? Please show all your work.

Answers

Answer: 64°C

Step-by-step explanation:

Official all-time high temperature = 43°C

Official all-time low temperature = –21°C

The difference between the two temperatures will be calculated by subtracting the low temperature from the high temperature. This will be:

= 43°C - (-21°C)

= 43°C + 21°C

= 64°C

What is the length of line AD?

Answers

1

Step-by-step explanation:

i am very beautiful yes i know it

solve 3(2x + 1) in standard form

Answers

3(2x+1)
= 6x +3

Hope this helps!! :)

Answer:

3(2x+1)= 6x+3

Step-by-step explanation:

Since all you do is multiply 3 and 2x and 3 and 1 which is 6x+3

How would I right subtract 1.9 from the product of 7.4 and 3

Answers

Answer:

24.1

Step-by-step explanation:

7.4x3=22.2

22.2+1.9=24.1

Write the equation of the circle with a center at (11,6) and a radius of 6.

Answers

Answer:

(x-11)^2 + (y-6)^2= 6^2

Step-by-step explanation:

Answer:

(x - 11)² + (y - 6)² = 36

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k) are the coordinates of the centre and r is the radius

Here (h, k ) = (11, 6 ) and r = 6, then

(x - 11)² + (y - 6)² = 6² , that is

(x - 11)² + (y - 6)² = 36

NEED HELP ASAP FREE BRAINLIST

Answers

Answer:

13.6

Step-by-step explanation:

[tex]a^2+b^2=c^2\\4^2+13^2=c^2\\16+169=c^2\\c^2=185\\\sqrt{c^2} =\sqrt{185} \\c=13.6[/tex]

It cost $730 to put on a school play . How many tickets must be sold at $6 a piece in order to make a profit

Answers

Answer:

122

Step-by-step explanation:

if you do 730 divided by 6 the answer is 121.6666667 so you round it up to 122

A number is selected, at random, from the set 1, 2, 3, 4, 5, 6, 7, 8. Find: p(odd)
25%
50%
100%

Answers

Answer:

50%

Step-by-step explanation:

Half of the numbers in the sequence are odd, so there's a 50% to have gotten an odd number randomly. Therefore, P = 50%

Which equation has infinitely many solutions?
5(2x + 4) = 10x – 12
5(2x + 4) = 10(x + 2)
5(2x + 4) = 12x
5(2x + 10) = 20(x + 1)

Answers

Answer:

5(2x + 4) = 10(x + 2)

Step-by-step explanation:

answer is 0 so it has infinite solutions

Answer: B. 5(2x+4)=10(x+2)

Explanation: Equals 0 because once distributed both equations are equal.
(A method to help you know without having to solve it.)

Hope this helps!

Saraid is dividing 14 pound of cashews into 5 plastic bags. What fraction of a pound of cashews will be in each plastic bag?

Answers

Answer:

Each bag gets 2 4/5 pounds of cashews

Step-by-step explanation:

14 ÷ 5 = 2.8

2.8 ( 2 4/5)

HELP QUICK PLEASE I BEG Grace invested $14985 in an account paying an interest rate of 9% compounded
monthly. Assuming no deposits or withdrawals are made, how much money, to the
nearest cent, would be in the account after 3 years? (Do not use commas in your
answer)
PLEASE HELP QUICK

Answers

19030.95
i think
take the og number times the percent then that times three and add it to the original number (sorry if that’s not right that’s just how i would do it)

trigonometry please help! work need to be shown

Answers

Answer:

x = 5.56

Step-by-step explanation:

Apply trigonometric function to find x

Reference angle = 46°

Hypotenuse = 8

Adjacent length = x

Apply CAH:

Cos 46 = Adj/Hyp

Cos 46 = x/8

8 × Cos 46 = x

5.55726696 = x

x = 5.56 (nearest hundredth)

2(x + 10) = 26
Solve for x

Answers

Answer:

3

Step-by-step explanation:

hii please help i’ll give brainliest!!

Answers

Answer:

direction

Step-by-step explanation:

A football team played 90 matches. They won 37 matches.
They drew 1/9 of their matches.
What fraction of their matches did they lose?​

Answers

Answer: 44 matches

Step-by-step explanation:

Let's take the given information

They won 37 matches

1/9th of their matches resulted in a draw

1/9 out of 90 is 9

You can take 90/9 and you will get 9

Now let us add 37+9 and you get 47

Now take 90-47

44 Matches lost

22/45 or 44/90

Solve for x.
x^2 + 6x + 9 = 12
x= -3+2V3
x = -3+4V3
x= -9 + 4V3
x=-9 + 2V3

Answers

Answer:

5. x=2v^3-9 and 2.x=3 + 2v3

18 Which expression shows a "7" as a coefficient? Select ALL that apply.
A 2x-7
B 7(x + 9)
C 7x + 8y
D 3x7
E 7 + 5x
F 4x - 7y

Answers

Answer:

B,F, C

Step-by-step explanation:

I belive this because a coefficient a numerical or constant quantity placed before and multiplying the variable in an algebraic expression (e.g. 4 in 4x y).

Two sides of a right triangle measure 222 units and 444 units. What is the area of the square that shares a side with the third side of the triangle?

Answers

Answer:

the area of the square = x² = 147,852 ft²

Step-by-step explanation:

Given;

two sides of a right triangle, = 222 units and 444 units

let the third side of the right triangle that shares a side with a square = x

the third side is obtained by applying Pythagoras theorem, and assuming the third side to be either adjacent or opposite side.

x² = 444² - 222²

x² = 147,852

x = √147,852

x = 384.52 ft

Therefore, the area of the square = x² = 147,852 ft²

Answer:

20 = x^2

Step-by-step explanation:

to find c^2 you need to do:

a^2 + b^2 = c^2

so- 2x2 + 4x4 = 4+16= 20

20 = x^2 and since x is squared you do not find the square root

Does anyone know? Thank you!

Answers

4/3 and 6/5 set me as brainlyest plz

Answer:

4/3

if you put all of the fractions in decimal form 4/3 is the most because it equals 1.25

What is the missing value in the table below?

Answers

Answer:

11

Step-by-step explanation:

csc(x) = 2
solve this

Answers

Answer:

mathpapa.com

Step-by-step explanation:

Find the area of the shaded region.

Answers

Answer:

B. x^2-10

Step-by-step explanation:

Your are trying to find the shaded region

You can see that the x by x square would be "full" if not for the 2 by 5 chunk that has been taken out of it

Therefore you can find the area by subtracting the 2 by 10 "chunk" out of the total area of the x by x square

Equation:

(x*x)-(2*5)

x^2-10

The answer is B

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 4 minutes on question A and 5 4 5 minutes on question B. How much time did he have left for question C?

Answers

Answer:

2 19/20 minutes

Step-by-step explanation:

Julio had 20 minutes to do a three-problem quiz. He spent 11 1 /4 minutes on question A and 5 4 /5 minutes on question B. How much time did he have left for question C?

The total number of minutes =

Number of minutes spent doing question (A + B + C)

Hence,

Hence, the number of minutes he had left for Question C is calculated as:

20 minutes - ( 11 1/4 + 5 4/5) minutes

20 minutes - ( 11 + 5 ( 1/4 + 4/5))

Lowest common denominator = 20

20 minutes - ( 16 + ( 5 + 16/20)

20 minutes - ( 16 + 21/20) minutes

20 minutes - (16 + 1 1/20) minutes

20 minutes - 17 1/20 minutes

= 2 19/20 minutes

Therefore he had 2 19/20 minutes left for Question C

ill give brainliest, help me asap!
Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5. She is trying to compile a list of several right triangles but needs your help. Find the side lengths of at least two other right triangles.

Answers

Answer:

6-8-10

9-12-15

5-12-13

Step-by-step explanation:

We know the 3-4-5 right triangles work when you multiply the sides by anything. For example. 6-8-10 and 9-12-15 work.

If you want other right triangles that follow a similar pattern, 5-12-13 is also viable. 10-24-26 & 15-36-39 are all right triangles

The 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

What is a right-angle triangle?

It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.

We have:

Lin says she has memorized the lengths of a few right triangles, for example, 3, 4, and 5.

There are 6, 8, 10, 9, 12, and 15 other sides of the right-angle triangle.

On applying Pythagoras theorem.

6² + 8² = 10²

9² + 12² = 15²

Thus, the 6, 8, 10, and 9, 12, and 15 are other sides of the right-angle triangle after applying Pythagoras theorem.

Learn more about the right-angle triangle here:

brainly.com/question/3770177


#SPJ2

25- 3x = 40 what is x

Answers

Simplifying
25 + -3x = 40

Solving
25 + -3x = 40

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-25' to each side of the equation.
25 + -25 + -3x = 40 + -25

Combine like terms: 25 + -25 = 0
0 + -3x = 40 + -25
-3x = 40 + -25

Combine like terms: 40 + -25 = 15
-3x = 15

Divide each side by '-3'.
x = -5

Simplifying
x = -5

If 2x – 7y = 10 is a true equation, what would be the value of 2 + 2x – 7y?

Answers

Answer:

I believe that would be 12 because

Step-by-step explanation:

if 2x - 7y = 10

then if you were to add two to that it would be 12

Please help! The question and answer choices are attached.

Answers

The answer is B The function shown on the graph has a smaller rate of change but a higher starting point
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