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inessss [21]
3 years ago
12

A sealed tank of water measures 10cm x 8 cm x 40cm. When it stands on one

Mathematics
1 answer:
Pavel [41]3 years ago
7 0

Answer:

New height = 6

Step-by-step explanation:

The water is going to be the same volume no matter how the tank is orientated.

So you can do this 2 ways.

First way

Find the volume in the tank when the water goes up 24 cm on the height.

V = L*W*h

L = 8

W = 10

H = 24

V = 1920 cm^3

Now do it using the

L = 40

W = 8

h = ?

1920 = L * W * h

1920 = 40 * 8 * h

1920 = 320 * h

h * 320 = 1920

h = 1920/320

h = 6

Or you can do it without finding the 1920

L*W*h = L1 * w1 * h1

8*10*24 = 40 * 8 * h                                The 8's cancel

10*24 = 40*h                                           Divide both sides by 10

24 = 4h                                                    Divide by 4

h = 6

Same as you got before.

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3 years ago
Danny and his classmates placed colored blocks on a scale during a science lab. The red block weighed 1.5 pounds and the yellow
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3 years ago
Read 2 more answers
7x - y = - 1 + -7x + 3y = - 25
Fittoniya [83]
Hope this helps you out :D

It’s 2 equations so in order to solve the previous system, you can use different methods, as for example substitution or addition of equations. In this case, you use the second one, due to the fact you have 7x in one equation and -7x in the other equation. In this way you can easily eliminate variable x and then solve for y. With the value of y you can replace in any of the two equations and solve for x.

7x-y=-1
-7x+3y=-25

Summarizing, you proceed as follow:
- add up the given equations

7x - y = -1

-7x+3y=-25
——————
0 +2y=-26

- solve for y in the previous equation

2y=-26
y=-26/2
y=-13


- replace the obtained value of y in one of the given equations, and solve for x

7x-(-13)=-1

7x+13=-1

7x=-1-13

7x=-14

x=-14

x=-14/7

x=-2


Hence, the solution of the given systems of equation is:

X=-2

Y=-13

4 0
3 years ago
Find the distance between the points (2,8) and (-1,9)
Sphinxa [80]

Use the distance formula: D=sqrt((x2-x1)^2+(y2-y1)^2)

Plug in:

D=sqrt((9-8)^2+(-1-2)^2)

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So the distance is about 3.16 units

Hope this helped!

7 0
3 years ago
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