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Goryan [66]
4 years ago
9

Each of the four sides of a swimmimg pool measures 9 meters. The pool is 5 meters deep. How much water will be needed to fill it

completely?
Mathematics
1 answer:
netineya [11]4 years ago
5 0
In this problem, we are asked for the volume of the pool filled with water. In this case, the volume of the rectangular prism is equal to length times width times height. Since length and width are equal, the formula includes the squaring of the length. after substitution, the formula is 9^2 * 5 equal to 405 m3. 
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Given, line l and line m are parallel. If m∠1 = 60°, and m∠2 = 125°, what is m∠3?
USPshnik [31]
Refer to the figure shown below.

Because the sum of angles on a straight line is 180°, therefore
m∠2 + m∠x = 180°
125° + m∠x = 180°
m∠x = 180 - 125 = 55°

Because the sum of angles in a triangle is 180°, therefore
m∠1 + m∠x + m∠y = 180
60 + 55 + m∠y = 180
m∠y = 180 - 60 - 55 = 65°

Because the sum of angles on a straight line is 180°, therefore
m∠3 + m∠y = 180
m∠3 + 65 = 180
m∠3 = 180 - 65 = 115°

Answer:  m∠3 = 115°

4 0
3 years ago
Read 2 more answers
Random samples of female and male UVA undergraduates are asked to estimate the number of alcoholic drinks that each consumes on
KatRina [158]

Answer:

Confidence Interval =-3.4085 ,+0.7915

Step-by-step explanation:

The confidence interval can be determined by

(x1`- x2`) ± 1.955 √s1²/n1 + s2²/n2

The mean and the standard deviations can be calculated using the calculator.

The mean x1`= ∑x/ n=  2+ 2+ 2+ 5+ 5+ 5+ 1+2+ 3+ 5/10

                                   = 32/10= 3.2

Standard deviation = s1`= 1.536

The mean x2`= ∑x/ n=  5 +4 +5+ 7+ 4+ 7+ 5+ 4+ 4+ 8/10

                                   = 53/10= 5.3

Standard Deviation = s2= 1.4177=1.42

Putting the values

(x1`- x2`) ± 1.955 √s1²/n1 + s2²/n2

(3.2-5.3 ) ± 1.955 √1.54²/10 +1.42²/10

-2.1 ± 1.955 √ 2.37/10 +2.11/10

-2.1 ±  1.3085

-3.4085 ,+0.7915

5 0
3 years ago
Which group of angles measures 43 degrees
Shtirlitz [24]
Acute Angles measure below 90°
So this angle would be an acute angle
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4 years ago
What factors does 28 and 44 have in common
Elodia [21]
The factors are 1, 2, and 4
8 0
3 years ago
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Which number line best shows how to solve −10 − (−8)?
Brilliant_brown [7]

Answer:

A number line

Step-by-step explanation:

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