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Monica [59]
3 years ago
12

a broken pipe was leaking water at the rate of 2gal every 5 minutes. it took 23 min to stop the leak. how many gallons of water

were wasted?
Mathematics
1 answer:
insens350 [35]3 years ago
3 0
Leaking water has the rate of 2 gal per 5 minutes which is the same as :
2 gal ÷ 5 minutes = 0.4 gal/minute 
Then we multiply it by the number of minutes which is 23 as follows :
0.4 gal/minute × 23 minutes = 9.2 galons wasted during the 23 minutes
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Which of the following theorems verifies that ABC~WXY?
Bumek [7]

Answer:

The correct answer is option <em>B. AA</em>

<em></em>

Step-by-step explanation:

Given two triangle:

\triangle ABC  and \triangle WXY.

The dimensions given in \triangle ABC are:

\angle A = 27^\circ\\\angle B = 90^\circ

We know that the sum of three angles in a triangle is equal to 180^\circ.

\angle A+\angle B+\angle C = 180^\circ\\\Rightarrow 27+90+\angle C=180^\circ\\\Rightarrow \angle C = 63^\circ

The dimensions given in \triangle WXY are:

\angle Y = 63^\circ\\\angle X = 90^\circ

We know that the sum of three angles in a triangle is equal to 180^\circ.

\angle W+\angle X+\angle Y = 180^\circ\\\Rightarrow \angle W+90+63=180^\circ\\\Rightarrow \angle W = 27^\circ

Now, if we compare the angles of the two triangles:

\angle A = \angle W = 27^\circ\\\angle B = \angle X= 90^\circ\\\angle C = \angle Y= 63^\circ

So, by AA postulate (i.e. Angle - Angle) postulate, the two triangles are similar.

\triangle ABC \sim \triangle WXY by <em>AA theorem.</em>

<em>So, correct answer is option B. AA </em>

7 0
3 years ago
A train leaves at 17.22 and arrives at its destination at 18.14.
sattari [20]

Answer:

64.6 km/h

Step-by-step explanation:

18:14 = 18h 14'

1h = 60'

18h = 17h + 60'

18h14' = 17h + 60' ´14' = 17h 74'

then:

17h 74'

-17h 22'

= 0h 52'

the train travelled 56km at 52 minutes

56km/52minutes

1 hour = 60 minutes

52 minutes = 52/60 = 0.86667 hours

then:

56km/52minutes = 56km/0.86667hours

= 64.615 km/hours

5 0
2 years ago
The domain of y=ax^2 is all real numbers. Describe the range when (a) a&gt;0 and (b) a&lt;0.
eduard
The range is all positive values...

R{y | y>0}

Range > "Y" such that y is greater than 0
3 0
3 years ago
A triangle with angle measures of 45 45 and 90 is
kiruha [24]

Answer:

A right triangle

Step-by-step explanation:

The answer is a right triangle because it has a right angle. A right angle is 90 degrees

6 0
2 years ago
Read 2 more answers
To determine whether they need to hire extra help for the holiday season, the managers of a railroad company want to estimate ho
nadezda [96]

Answer:

36

Step-by-step explanation:

Data provided in the question:

Standard error = 1.5 minutes             ( ∵ number are repetitive 1.51.5 )  

Standard deviation = 9 minutes        ( ∵ number are repetitive 99 )

Now,

Standard error = ( Standard deviation ) ÷ √n

Here,

n is the sample size

Therefore,

on substituting the respective values, we get

1.5 = 9 ÷ √n

or

√n = 9 ÷ 1.5

or

√n = 6

or

n = 6² = 36

3 0
3 years ago
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