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charle [14.2K]
3 years ago
12

Please help! :(. "You can use displacement to find the volume of an irregular object, such as a stone. Suppose a 2 foot by 1 foo

t tank is filled with water to a depth of 8 in. A stone is placed in the tank so that it is completely covered, causing the water level to rise by 2 in. Find the volume of the stone."
Mathematics
1 answer:
Marina CMI [18]3 years ago
5 0

Answer:

0.3332 ft³

Step-by-step explanation:

Given that:

Length and width of tank = 2 feet by 1 feet

Volume of water displaced by the stone = 2 inches

The volume of Stone :

Rise in water level * length and width of tank

Converting inches to feet :

1 inch = 0.0833 feets

2 inches = 0.0833 * 2 = 0.1666 feets

Volume of stone :

0.1666 ft * 2 ft * 1 ft

= 0.3332 ft³

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VikaD [51]

Answer:

41,755.72

Step-by-step explanation:

6 0
4 years ago
Someone help me please
Keith_Richards [23]

Answer:

144 tiles

Step-by-step explanation:

if the room is 144 feet squared and one tile is one square foot

6 0
3 years ago
In a club there is 13 women and 8 men. A committee of 9 women and 4 men is to be chosen. How many different ways are there to se
sammy [17]

Answer:

The total number of ways to select 9 women and 4 men for the committee is 50,050.

Step-by-step explanation:

The club has 13 female members and 8 male members.

The committee to be formed must have 9 female members and 4 male members.

The possible number of ways to select 9 female from 13 females is:

n(F)={13\choose 9}=\frac{13!}{9!(13-9)!}=715

The possible number of ways to select 4 male from 8 males is:

n(M)={8\choose 4}=\frac{8!}{4!(8-4)!}=70

Compute the possible total number of ways to select 9 women and 4 men for the committee as follows:

Total number of ways to select 9 women and 4 men = n (F) × n (M)

                                                                                       =715\times70\\=50050

Thus, the total number of ways to select 9 women and 4 men for the committee is 50,050.

3 0
3 years ago
Find the distance between points P(4, 4) and Q(9, 3) to the nearest tenth
ddd [48]

Answer:

5.1 units

Step-by-step explanation:

(4, 4) & (9, 3)

To find the distance of two points, we use the distance formula:

d = \sqrt{(x_{2}-x_1)^2 + (y_2-y_1)^2 }

Let's plug in what we know.

d = \sqrt{(9 - 4)^2 + (3 -4)^2 }

Evaluate the parentheses.

d = \sqrt{(5)^2 + (-1)^2 }

Evaluate the exponents.

d = \sqrt{(25) + (1)}

Add.

d = \sqrt{(26)}

Evaluate the square root.

d = \sqrt{26} or 5.0990 units

Round to the nearest 10th.

5.1 units

Hope this helps!

3 0
3 years ago
use the elimination method to solve the system of equations. choose the correct ordered pairs 7x+3y=30 and -2+3y=3
Mariulka [41]
7x + 3y = 30
-2x + 3y = 3....multiply by -1
-----------------
7x + 3y = 30
2x- 3y = -3 (result of multiplying by -1)
----------------add
9x = 27
x = 27/9
x = 3

7x + 3y = 30
7(3) + 3y = 30
21 + 3y = 30
3y = 30 - 21
3y = 9
y = 9/3
y = 3

solution is (3,3)
3 0
3 years ago
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