A cubical tank of edge 12 cm is half filled with water. The water is poured into an empty rectangular tank measuring 10 cm by 8 cm by 7 cm until it is full. How much water is left in the cubical tank? Give your answer in millilitres.

Answers

Answer 1

Answer:

3040000mm³

Step-by-step explanation:

Volume of a cube = a³ ; a = size of edge

Volume of cubical tank = 12³ = 12 * 12 * 12 = 1728 cm³

Half filled cube = 1728 / 2 = 864 cm³

Volume is f rectangular tank :

V = length * width * height

V = 10 * 8 * 7 = 560 cm³

Volume of water left in cubical tank :

(864 - 560) = 304cm³

1cm³ = 1000mm³

304cm³ = 304 * 1000 = 3040000mm³


Related Questions

Find the lengths of the legs.
(NO LINKS)

Answers

Given:

The figure of a right angle triangle with hypotenuse 10 and two angles [tex]45^\circ, 90^\circ[/tex]

To find:

The lengths of the legs.

Solution:

Two angles are given. By using the angle sum property, the third angle is:

Third angle = [tex]180^\circ-45^\circ- 90^\circ[/tex]

                   = [tex]45^\circ[/tex]

Base angles are equal it means the given triangle is an isosceles right triangle. So, the lengths of both legs are equal.

Let x be the lengths of both legs. Then by using Pythagoras theorem, we get

[tex]Hypotenuse^2=leg_1^2+leg_2^2[/tex]

[tex](10)^2=x^2+x^2[/tex]

[tex]100=2x^2[/tex]

[tex]\dfrac{100}{2}=x^2[/tex]

[tex]50=x^2[/tex]

Taking square root on both sides, we get

[tex]\pm \sqrt{50}=x[/tex]

[tex]\pm 5\sqrt{2}=x[/tex]

[tex]\pm 5\sqrt{2}=x[/tex]

The side length cannot be negative. So, the only value of x is [tex]5\sqrt{2}[/tex].

Therefore, the length of the both legs is [tex]5\sqrt{2}[/tex] units.

Given: Circle O; ZA intercepts BC; ZD intercepts BC Two statements are missing reasons. What reason can be used to justify both statements 2 and 3? Prove: ZA ZD Statements Reasons D 1. given A 1. circle O; ZA intercepts BC, ZD intercepts BC 2. m ZA= (MBC ) 3.m4D = 1mBC) (MBC 12.1? B 3.? 4. mZA=mZD 4. substitution property 5. ZASZD 5. definition of congruent angles O inscribed angles theorem​

Answers

Answer:

A. Inscribed angle theorem

Step-by-step explanation:

The missing reasons in the proof are inscribed angles theorem​.

What is an arc in a circle?

In mathematics, an arc is defined as a portion of the boundary of a circle or a curve. It can also be referred to as an open curve. The boundary of a circle is the perimeter or the distance around a circle, also known as the circumference.

Given that, a circle, with arcs AD and BC, we need to find the reason in the proof,

The reasons are inscribed angles theorem.

Inscribed angles theorem :-

The inscribed angle theorem states that an angle θ inscribed in a circle is half of the central angle 2θ that subtends the same arc on the circle. Therefore, the angle does not change as its vertex is moved to different positions on the circle.

Hence the missing reasons in the proof are inscribed angles theorem​.

Learn more about arcs, click;

https://brainly.com/question/29886215

#SPJ7

How come the tutors don't work??​

Answers

Answer:

What do you mean? If you are talking about the Community not always answering Questions well that means your they don't know the right Answer

the Mods are Annoying and very skeptic of the Guidelines of Brainly.

Simplify 1 1/8 x 4 +2 5/6 x 3​

Answers

Answer:

bro just search it on mathaway or calculator soup

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

A sprinkler rotates 360° to water a circular region. If the total area watered is approximately 2,200yd2, determine the radius of the region (the radius is length of the stream of water). Round the answer to the nearest yard.

Answers

Answer:

Radius = 26 yards.

Step-by-step explanation:

The complete rotation of the sprinkler makes a circle of radius R (R is the length of the stream of water).

Remember that the area of a circle of radius R is:

A = pi*R^2

where pi = 3.14

In this case, we know that the area is equal to 2,200 yd^2

Then:

A = 2,200 yd^2 = 3.14*R^2

Solving this equation we can find the value R.

(2,200 yd^2)/3.14 = R^2

√( (2,200 yd^2)/3.14) = R  = 26.47 yards.

We want to round it to the nearest yard, then we need to look at the first digit after the decimal point. It is smaller than 5, then we round down, we get:

Radius = 26 yards.

in the graph, the vector terminating at A represents the complex number z. the vector terminating at B represents the product of z and -2. which graph correctly represents the product?y

Answers

Answer: The first one in the picture.

Step-by-step explanation: I got this right on Edmentum.

*There’s a picture below

Please help!!! Solve for the m

Answers

Answer:

36°

Step-by-step explanation:

[tex]m\angle C =sin^{-1}\frac{17}{29}\\m\angle C =35.888297553\degree\\m\angle C =36\degree[/tex]

Help!!!!!! Which function is best represented by this graph

Answers

Answer:j

Step-by-step explanation:

Answer:

J

Step-by-step explanation:

Gretta is 1 1/2 meters tall. Which of the following is equivalent to 1 1/2 meters? A 150 millimeters B 1.500 millimeters C 100 millimeters D 1,000 millimeters​

Answers

Answer:

1500 millimeters is your answer

y = x + 45
What is the y-intercept of the relationship?
A. 45
B. x + 45
C. x
D. y - 45

Answers

Answer:

D

Step-by-step explanation:

Find the mean of 9, 2, 2, 1, 1 graphically.

Answers

9+2+2+1+1= 15
15/5= 3

At the beginning of the month, Sarah had 600 in her bank account. Within the month she made two deposits of and She also made three withdrawals 100, , and 20. How much was in her account at the end of the month?

Answers

Answer:

At the end of the month she has $578

Step-by-step explanation:

Given

[tex]Start\ balance = 600[/tex]

[tex]Deposits=50; 100; 48[/tex]

[tex]Withdrawal: 100; 20; 100[/tex]

Required

The balance at month end

Deposits simply means adding cash to the account and it has a very simple interest. So, we add .

While Withdrawal taking money out of the account. So, we subtract.

So, we have:

[tex]Month\ end = Start\ balance + Deposits + Withdrawal[/tex]

[tex]Month\ end = 600 + [50 + 100 + 48] - [100 + 20 + 100])[/tex]

[tex]Month\ end = 600 + 198 - 220])[/tex]

[tex]Month\ end = 578[/tex]

Hence, at the end of the month she has $578

Find the amount due if $200 is borrowed for 10 months at an APR of 16% simple interest
Amount =?

Answers

Answer

$266.66

Step-by-step explanation:

We have here ,

Principal = $200 Rate = 16% Time = 10 months = 10/12 yrs.

We can use the formula of SI to calculate the SI . After adding it to principal we will get the amount .

⇒ SI = P × R × T / 100

⇒ SI = $ 200 × 16 × 10 / 12 × 100

SI = $ 26.66

Now Calculate amount as ,

⇒ A = SI + P

⇒ A = $ 200 + $ 26.66

A = $ 226.66

please help i don't understand this question

A the cost of buying the tablet

B the cost per month of internet service

C the number of months after wich the total cost is 0 dollars

D none of the above ​

Answers

Answer:

Pretty sure it would be b because it keeps scaling as the x axis continues with time

WHAT THE HECK IS THAT SHAPE PLEASE HELP IM SLOW

Answers

Answer: It looks like a Trapezoid

Step-by-step explanation:

Answer:

trapezoid

Step-by-step explanation

there are two lines across from each toher that are parallel, but the other two lines aren't , so this has to be a trapezoid. there are also no right angles

The weight of 8 science books is 28 pounds. What is the weight of 11 science books?

The weight of 11 science books is
pounds.

Answers

Answer:

11 books = 33 Pounds

Step-by-step explanation:

24 divided by 8 = 3 pounds per book.

3 x 11 = 33 pounds

Hope this helps

Answer:

38.5

Step-by-step explanation:

28÷8=3.5

3.5×11=38.5

1) Determine the area of the shaded region.
14 ft
8 ft

Answers

Answer:

61.73 ft ^2

Step-by-step explanation:

area of rectangle

14x8 = 112

area of circle

π(4)(4) = 50.27

subtract

112-50.27 = 61.73

Round to one billion place. Drop the zeros.
28,436,297,825
30,943,267,101
45,831,246,935​

Answers

Answer:

28,436,297,825

30,943,267,101

45,000,000,000

Step-by-step explanation:

ur welcome

What is the approximate value of 12−−√ ?


3.5


2


6


4.5

Answers

The answer is 3.5. Do you need me to explain or is that ok?

what is the domain of this exponential function , y=7^x

Answers

Answer: hope this helps

Step-by-step explanation:

Answer:

Hope this helped!!!

Step-by-step explanation:

3 1/7 x 10 answer plz

Answers

Answer:

31.43

Step-by-step explanation:

3 1/7 = 3.14285714285

3 1/7 x 10 = 31.4285714286 which is about 31.43

Answer:

31 [tex]\frac{3}{7}[/tex]

Step-by-step explanation:

[tex]\frac{22}{7}[/tex]×[tex]\frac{10}{1}[/tex]

[tex]\frac{220}{7}[/tex]

31 [tex]\frac{3}{7}[/tex]

⚠️ANSWER ASAP⚠️ 4x−(2x−9)−12x How many terms

Answers

Answer:

4

Step-by-step explanation:

Which One Doesn't Belong (WODB)

Indicate which multiplication problem you believe does NOT belong in the group.

Explain Why!

Answers

Answer:

I think A does not belong to the multiplication problems, because A's outcome is 2 digit while the others are 1 digit.

Step-by-step explanation:

CAN SOMEONE PLZZZ HELP ME? THIS IS DUE IN LIKE 5 MINUTES

Answers

Answer:

I think E im not sure which other one.

Step-by-step explanation:

Answer:

A and E

Step-by-step explanation:

hope this helps and hope you get a good score on your assignment/test/quiz

Need help on this question thanks

Answers

Answer:median

Step-by-step explanation: because median is used to be in the middle so those are numbers that would be in the middle, and if you add them up it would contain a high amount of number but if you subtract half you get your answer, and your Welcom!


X = {1,3,5,7)
Y = {13,57}
Which of the following is the set XnY?

Answers

Answer:x is a letter in music.} 3. Determine whether each set is well-defined. If it is not well-defined, explain why, ... true (e) {1, 3, 5, 7, 9) = {1, 5, 9, 3, 7) false_(f) {1,3,5, 9) = {1,3,5,9} ... Describe each of the following sets as either finite or infinite. ... 13 listened to heavy metal and alternative rock; 12 listened to rap and alternative rock;. or

x 2 - 2yZ = 7 with x = 2v + 1 and y = 2b + 1. These have solutions. (x, y; v, b) = (3, 1; 1,0), (5,3; 2,1), (13,9; 6,4),. (27,19; 13,9), (75,53; 37, 26), (157,111; 78, 55), .

Step-by-step explanation:

What is the total surface area of the triangular prism shown?

Answers

Answer:

24 2/5ft

Step-by-step explanation:

add all the sides together.

4ft x 2

3ft x 2      

10 2/5 x 1

=

24 2/5

what is the solution to 2(3m+4)=6(1-2m)

a) m=2
b) m=-2
c)m=-10
d.)m=1/5​

Answers

Answer:

The answer is in the picture below.

Step-by-step explanation:

Substituting the equation x = 4y – 12 into the equation -2y = x – 6 will produce the equation _________.

Answers

ANSWER:
-2y = 4y-12 -6

I need the answer for this question

Answers

Answer:

6,912 i think that's the answer I'm not sure though

Step-by-step explanation:

Answer:

[tex]8,400in^2[/tex]

Step-by-step explanation:

Area of Trapezoid: [tex]A=h(\frac{b1+b2}{2} )[/tex]

Given: B1, B2 and h

B1 = 18 in

B2 = 24

h = 16 in

Substitute variables for the give numbers:

[tex]A=16(\frac{18+24}{2} )\\A = 336 in^2[/tex]

The 336 in is for one desk, and they want you to find 25 desks. So multiply 336 and 25.

[tex]x = 25(336)\\x = 8,400in^2[/tex]

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