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Oduvanchick [21]
4 years ago
5

A rectangular container has a base that is 12 inches long and 8 inches wide. The container is filled with water to a height of 6

inches. If all the water is poured into a second container with a square base, it will rise to a height of 16 inches. What is the length of one edge of the square base of the second container?
Mathematics
1 answer:
valina [46]4 years ago
7 0

Answer: the length of one edge of the square base of the second container is 6 inches.

Step-by-step explanation:

The formula for determining the volume of a rectangular container is expressed as

Volume = length × width × height

Considering the first container,

Length = 12 inches

Width = 8 inches

Height to which the water is filled is 6 inches.

Therefore, volume of water in the container is

12 × 8 × 6 = 576 inches³

Considering the second container,

Height of water = 16 inches

Let L represent the length of the square base. Then the area of the square base is L²

Volume of water would be 16L²

Since the water in the first container was poured into the second container, then

16L² = 576

L² = 576/16 = 36

L = √36

L = 6 inches

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krok68 [10]

Answer:  0.0766

Step-by-step explanation:

Let x be the random team scores.

Given: Mean = 76

Standard deviation = 8.4

We assume that x follows normal distribution.

The probability that a random team scores less than 64 points = P(x<60)

=P(\frac{x-\mu}{\sigma}

Hence, the probability that a random team scores less than 64 points =0.0766

3 0
3 years ago
Ben is buying a book that costs $14.75 and a magazine that costs $5.25. If he has a store cupón for 15% off and sale tax is 8%,
In-s [12.5K]

Answer:

$18.36

Step-by-step explanation:

14.75+5.25=20

20 x  0.15 = 3

20 - 3 = 17

17 x 0.08=1.36

17+ 1.36 =18.36

total is $18.36

7 0
4 years ago
What is the domain of the relation?
amm1812

Domain:

{-4, -2, -1 , 1, 4}


Hope it helps

3 0
4 years ago
Between the numbers 15/20 and 35/40 , the greater number is<br> a. 15/20 b. 20/15 c. 35/40 d. 45/30
Citrus2011 [14]

Answer:

35/40

Step-by-step explanation:

To compare, both denominator should be same.

\frac{15}{20}=\frac{15*2}{20*2}=\frac{30}{40}\\\\\\\frac{30}{40} \ < \ \frac{35}{40}\\\\\\\frac{15}{20} \ < \ \frac{35}{40}

8 0
3 years ago
Read 2 more answers
On Monday at 1 p.M., when the ocean's surface was at an elevation of 2.2 feet, Winston went to a surf shop that was 8.2 feet abo
dem82 [27]

Answer:

5.4 feet

Step-by-step explanation:

Let the reference line A_0B_0 represents the sea level without any elevation.

At 1 P.M. the ocean surface was at an elevation of 2.2 feet along the line A_1B_1 in the figure and the surf shop was  8.2 feet above of this elevated ocean's surface along the line A_2B_2 in the figure.

Similarly, at 7 P.M. the ocean surface was at an elevation of -2.4 feet along the line A_3B_3 in the figure and the deck in the restaurant was  8.2 feet above of this elevated ocean's surface along the line A_4B_4 in the figure.

From the figure, the distance between the deck and the ocean's surface at 1 P.M.= The distance between the lines A_1B_1 and A_4B_4.

d= 10- (d_1+d_2)

=10-(2.2+2.4)

=5.4 feet

Hence, the distance between the deck and the ocean's surface at 1 P.M. is 5.4 feet.

4 0
4 years ago
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