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Katarina [22]
3 years ago
10

With water from one hose, a swimming pool can be filled in 9 hours. A second, larger hose used alone can fill the pool in 2 hour

s. How long would it take to fill the pool if both hoses were used simultaneously?
Mathematics
1 answer:
Monica [59]3 years ago
5 0

1/9 + 1/2 = 1/x

Let x = length of time it will take both hoses to work together

Multiply both sides by 18x.

2x + 9x = 18

10x = 18

x = 18/10

x = 9/5

x = 1.8 hours

In other words, if both hoses work together, the pool can be filled in 1 hour and 48 minutes.

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The sum of the digits of a two-digit number is 10. When the digits are reversed, the new number is 18 less than the original num
eimsori [14]
<h3>Answer:</h3>

64

<h3>Explanation:</h3>

6+4= 10

Then reverse the digits of 64, and you have 46

64-46= 18

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Solve the inequality x - 3 &gt; 7
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x > 10

Step-by-step explanation:

Given

x - 3 > 7 ( add 3 to both sides )

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Even better morning yall
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48 cups

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#11 and #13 geometry help please help need work shown as well !!
Trava [24]

Answer: In diagram (11) X = 30 degrees and Y = 60 degrees

In diagram (13) X = 20.55 degrees and Y = 69.45 degrees

Step-by-step explanation: What we have are two right angled triangles with two sides given in each case, therefore we can calculate the two unknown angles (since the third angle equals 90 degrees).

For the second triangle (number 13) we shall use Y as the reference angle. That means we have an opposite (the side facing the reference angle) which is 24 and we have an adjacent (the side that lies between the right angle and the reference angle) which is 9. Hence,

Tan Y = opposite/adjacent

Tan Y = 24/9

Tan Y = 2.6667

Checking with your calculator or table of values, 2.6667 = 69.45

Having two angles, which are 90 and 69.45, the third angle X can be computed as

X = 180 - (90 + 69.45)

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X = 20.55 and Y = 69.45

For the first triangle (number 11) we shall use X as the reference angle. We have two sides, the opposite (the side facing the reference angle) which is 3, and the hypotenuse (side facing the right angle) which is 6. Hence,

Sin X = opposite/hypotenuse

Sin X = 3/6

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Checking with your calculator or table of values,

X = 30 degrees.

Also, now that we have two angles we can easily compute the third angle as follows

Y = 180 - (90 + 30)

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Y = 180 - 120

Y = 60

X = 30 and Y = 60

4 0
3 years ago
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