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Oliga [24]

Answer:

Part A)

The height of the water level in the rectangular vessel is 2 centimeters.

Part B)

4000 cubic centimeters or 4 liters of water.

Step-by-step explanation:

We are given a cubical vessel that has side lengths of 10cm. The vessel is completely filled with water.

Therefore, the total volume of water in the cubical vessel is:

$V_{C}=(10)^3=1000\text{ cm}^3$

This volume is poured into a rectangular vessel that has a length of 25cm, breadth of 20cm, and a height of 10cm.

Therefore, if the water level is h centimeters, then the volume of the rectangular vessel is:

$V_R=h(25)(20)=500h\text{ cm}^3$

Since the cubical vessel has 1000 cubic centimeters of water, this means that when we pour the water from the cubical vessel into the rectangular vessel, the volume of the rectangular vessel will also be 1000 cubic centimeters. Hence:

$500h=1000$

Therefore:

$h=2$

So, the height of the water level in the rectangular vessel is 2 centimeters.

To find how how much more water is needed to completely fill the rectangular vessel, we can find the maximum volume of the rectangular vessel and then subtract the volume already in there (1000 cubic centimeters) from the maximum volume.

The maximum value of the rectangular vessel is given by :

$A_{R_M}=20(25)(10)=5000 \text{ cm}^3$

Since we already have 1000 cubic centimeters of water in the vessel, this means that in order to fill the rectangular vessel, we will need an additional:

$(5000-1000)\text{ cm}^3=4000\text{ cm}^3$

Sincer 1000 cubic centimeters is 1 liter, this means that we will need four more liters of water in order to fill the rectangular vessel.

3 0

3 years ago

Read 2 more answers

IS THIS A FUNCTIONS OF NOT <br> I NEED HELP

Brilliant_brown [7]

1, 3, 5 are functions because they pass the vertical line test

4 0

3 years ago

Read 2 more answers

Let f(x) = 3x +5 and g(x) = -4x +7. Find (fog)(-4)

sesenic [268]

(fog)(x)=f(g(x))

f(g(x))=3(-4x+7)+5
f(g(-4))=3(-4(4)+7)+5=3(-16+7)+5=3(-9)+5=-27+5=-22

(fog)(-4)=-22

7 0

3 years ago

Find the product of the<br>L.C.M and H.C.F of 8 and 12.

V125BC [204]

Answer:

<h3>96 is the answer. </h3>

Step-by-step explanation:

<h3>We multiply </h3><h3>24 *4 we shall get 96 as the answer. </h3><h3 />

3 0

3 years ago

Read 2 more answers

What needs to be corrected in this construction of a line parallel to [\overleftrightarrow?]AB passing through C?

JulsSmile [24]

The option that needs to be corrected in this making of a that is line parallel to AB via C is known to be the second arc should be centered at C.

<h3>Why should the second arc be centered at C.</h3>

The second arc should be centered at C because as it crosses via Line C, it is seen that it was not touching or intersecting AB and so one can say that it is a parallel to it.

Looking at the other lines, you will see that they are all touching AB and are not running parallel to it.

Therefore, The option that needs to be corrected in this making of a that is line parallel to AB via C is known to be the second arc should be centered at C.

See full question below

What needs to be corrected in this construction of a line parallel to AB passing through C?

A) The first arc should pass through C.

B) The first arc should pass centered at C.

C) The second arc should be centered at C.

D) The second arc should cross the first arc.

E) The second arc should be centered at F

Learn more about line parallel from

brainly.com/question/1439525

#SPJ1

7 0

2 years ago

!urgent! PLEASE HELP thanks​ will give brainliest

!urgent! PLEASE HELP thanks will give brainliest