A right rectangular container is 10 cm wide and 24 cm long and contains water to a depth of 14cm. A stone is placed in the water and the water rises 3.4 cm. Find the volume of the stone.

Please and thank you!

[1] … … 2x₁ + 0x₂ + 3x₃ = 3

[2] … … 4x₁ - 3x₂ + 7x₃ = 5

[3] … … 8x₁ - 9x₂ + 15x₃ = 10

Since [1] is already free of x₂, you might as well start by eliminating x₂ from the other two equations. Add -3 times [2] to [3] :

-3 (4x₁ - 3x₂ + 7x₃) + (8x₁ - 9x₂ + 15x₃) = -3 (5) + 10

-12x₁ + 9x₂ - 21x₃ + 8x₁ - 9x₂ + 15x₃ = -15 + 10

-4x₁ - 6x₃ = -5

[4] … … 4x₁ + 6x₃ = 5

Now eliminate x₃ in [1] and [4]. Add -2 times [1] to [4] :

-2 (2x₁ + 3x₃) + (4x₁ + 6x₃) = -2 (3) + 5

-4x₁ - 6x₃ + 4x₁ + 6x₃ = -6 + 5

0 = -1

which is a contradiction. This means the system has no solution.

Answer:Remember the formula for calculating volume is: Volume = Area by height. V = A X h.

For a triangle the area is calculated using the formula: Area = half of base by altitude. A = 0.5 X b X a.

So to calculate the volume of a triangular prism, the formula is: V = 0.5 X b X a X h.

Answer:

x = 65° + 60° = 125°

Answer:

69.08

Step-by-step explanation:

2×3.14=6.28

6.28×11=69.08

Answer:

81

Step-by-step explanation:

dude, it's one of the fast facts

Answer:

81

Step-by-step explanation:

We can round one of the 9's to ten then multiply it

9*10=90

then subtract the 9 that we added

90-9=81

Answer:

50 students

Step-by-step explanation:

20 is 40% of 50

because 50 x .40 = 20

Hope this helps!

Answer:

30

Step-by-step explanation:

40%/2=20%

20/2=10

100%-40%=60%

60%/3=20%

10x3=30

Answer:

d

Step-by-step explanation:

Answer:

$520

Step-by-step explanation:

1% of x is x times 0.01.

that means 10%of x is x times 0.1.

400 times 0.1 is 40.

40 is 10% of 400.

it was marked up by 30% so we need to times by 3.

40 times 3 is 120.

it was marked up so its addition.

400+120=520

Answer:

x = 6

Step-by-step explanation:

I'm not sure if it's correct

Answer:

[tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Step-by-step explanation:

In order to solve this we can start by drawing a sketch of the problem (see attached picture)

So fist, let's take the general form of a sinusoidal movement:

[tex]y=Asin(\omega x+\phi)+b[/tex]

where:

A= amplitude

[tex]\omega[/tex]= angular frequency

x= time

[tex]\phi[/tex] = horizontal shift

b= vertical shift.

In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:

A= 13in - 0.5in =12.5 in

The angular frequency is how many radians the wheel will turn in a minute, so we get:

[tex]\omega=\frac{90 rev}{min}*\frac{2\pi rad}{1 rev}[/tex]

[tex]\omega=180\pi rad/min[/tex]

Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by [tex]\frac{\pi}{2} rad[/tex], so in this case:

[tex]\phi=-\frac{\pi}{2}[/tex]

and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:

b=13in

so when putting it all together we get our equation to be:

 [tex]y=12.5 sin(180\pi x-\frac{\pi}{2})+13[/tex]

Answer:

The discounted price, not including tax and tip is $56.25.

Answer:

3cm for width and 8cm for length the area for the rectangle is 24cm

Answer:

answer is C

the slope is 3 and the intercept is (0,2) which is 2

Answer:

c 480 square inches your welcome

Answer:

Area 684 m squared

Step-by-step explanation:

26 + 46 = 72

72/2 = 36

36 x 19 = 684

Hope this helps!

Answer:

21

Step-by-step explanation:

4x+6+4x+6=180

8x+12=180

8x=168

x=21

Answer:

X=21

Step-by-step explanation:

Well since its just a right angle you really gotta only solve for one since their their the same things.

4x+6=90

Solve the equation

x=21

Even if you do the two together with 180, same thing.

Answer:

TBH I don't really know either, but 63, 360?

Step-by-step explanation:

If they give you a number in feet, and they want inches time the number by 12? (12 inches in a foot)...sorry idrk...

Answer and Step-by-step explanation:

We are told that there are 5,280 feet in 1 mile.

We also know that 1 foot equals 12 inches.

So, to know how many inches are in One mile, we must multiply 5280 by 12.

     1    

  5280

×      12

______

 10560

+52800

_______

63360

So, the amount of inches that are in 1 mile is 63,360.

#teamtrees #PAW (Plant And Water)

Answer:

256,781

Step-by-step explanation:

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

What is the sequence?

A sequence is a list of objects, typically numbers, in which order matters, repetition is allowed, and the same elements can appear multiple times at different positions in the sequence.

Here given sequence is

[tex]1,4, 16, 64, -,-,[/tex]

So,

[tex]1\\1(4)=4\\16(4)=64\\64(4)=256\\256(4)=1024[/tex]

Hence, the missing number in the sequence is [tex]1,4, 16, 64, 256,1024[/tex].

To know more about the sequence

https://brainly.com/question/1293486

#SPJ2

Answer:

Sorry if I got it wrong.

Step-by-step explanation:

You add them together then devide by 3 so 333.333333333 squar feet per gallon so the art room is 400 so I would say about 1.5 or close to that

Answer:

In Geometry, we have several undefined terms: point, line and plane. From these three undefined terms, all other terms in Geometry can be defined.

Step-by-step explanation:

hope i helped plz mark me brainlest;(

Answer:

point, line and plane.

Step-by-step explanation:

all other terms in Geometry can be defined.

9514 1404 393

Answer:

  work shown is incorrect

Step-by-step explanation:

An equal sign is a sacred symbol. It needs to be treated with respect. The equal sign can only be used legitimately when the expression on one side is actually equal to the expression on the other side.

Here, you seem to have ...

  16 -7 = 11 . . . . . FALSE

  9 ≠ 11 . . . . . . . . why the equal sign should not be used

So, the inequality you're trying to solve depends on which of the "equal" values you intend.

7 + x < 16 - 7

Subtracting 7 from both sides gives ...

  x < 2

This graphs as an open circle at x=2 and shading of the number line to the left from there. See the attachment for the graph.

__

7 + x < 11

Subtracting 7 from both sides gives ...

  x < 4

This graphs as an open circle at x=4 and shading of the number line to the left from there. The graph is similar to the one attached, but has the point at x=4 instead of x=2.

__

Your solution

Somehow you have concluded that x < 11. If that is correct, and you want to graph that, you need to draw an open circle at x=11 (not x=12), and shade the number line to the left from that point. A solid dot at x=12 and a line left of that does not represent the inequality x < 11.

A solid dot is used only for the "or equal to" case. You have graphed x ≤ 12.

Answer:

I believe the answer is=2x2+342.

Answer:

30

Step-by-step explanation:

Answers:

38% of 15 = 5.7

29% of 75 = 21.75

4% of 220 = 8.8

No idea what the 1% or 10% method is either. But these answers would be better then to leave the questions blank.

Answer:  2/8  

Step-by-step explanation: becau

Here, we have to write a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex].

Multiply 2 with the numerator and the denominator of the fraction.

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 1 \times 2}{ 4 \times 2} } [/tex]

→ [tex]\sf{ \dfrac{1}{4} = \dfrac { 2}{ 8} } [/tex]

So, a fraction equivalent to [tex]\sf{ \dfrac{1}{4}} [/tex] is [tex]\sf \red{ \dfrac{2}{8}} [/tex].

Similarly, we can multiply with another numbers (ex : 3,4,5,6) with numerator and the denominator of the given fraction to find the fractions equivalent to the given fraction.

Answer:

A) 20

Step-by-step explanation:

Test 1:

90-50 = 40

Test 2:

100-40 = 60

Difference:

60-40 = 20