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kupik [55]
3 years ago
11

If hot and cold water taps are turned on altogether, a bath is filled in three minutes but if the cold tap was only half opened

it would take one minute forty eight seconds longer. How long would the hot tap alone take to fill the bath?
Mathematics
1 answer:
Anvisha [2.4K]3 years ago
3 0

9514 1404 393

Answer:

  12 minutes

Step-by-step explanation:

Let c and h represent the filling times for the cold and hot taps, respectively. When the cold tap is 1/2 open, we presume that means the filling time becomes 2c.

In terms of baths per minute, the relationships are ...

  1/c + 1/h = 1/3

  1/(2c) +1/h = 1/(3 +1.8) . . . . . 1:48 min:sec is 1.8 minutes

Subtracting the first equation from twice the second, we get ...

  2(1/(2c) +1/h) -(1/c +1/h) = 2(1/4.8) -(1/3)

  1/h = 2/4.8 -1/3 = 1/12

  h = 12

It takes the hot tap 12 minutes to fill the tub alone.

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Law of cosine find m<B a=11 b=12 c=17
Andrei [34K]
Cos (B) = (a^2 + c^2 -b^2) / (2 * a * c)
cos (B) = (11^2 +17^2 -12^2) / (2 * 11 * 17)
cos (B) = (121 + 289 -144) / (374)
cos (B) = 266 / 374
cos (B) = <span> <span> <span> 0.7112299465
Angle B =  </span></span></span>44.665 degrees








3 0
3 years ago
(3x+2)^4 <br> Can someone help me with this answer !
andriy [413]

Answer:

9x^2+24x+16

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Alex leaves school to go home. He walks 11 meters North and then 10 meters West. How far is Alex from the school?
yuradex [85]

Answer:

~15 meters away

Step-by-step explanation:

c^2 = a^2+b^2

c^2 = 10^2+11^2

c^2 = 100+121

c^2 = 221

c = \sqrt{221}

c = ~15

3 0
2 years ago
Solve 7x2(x + 1) = 6x + 14<br> Ox=-12<br> Ox = 12<br> Ox= -16<br> Ox = 16
Evgen [1.6K]

\large\displaystyle\text{$\begin{gathered}\sf 7x-2(x+1)=6x+4 \end{gathered}$}

Use the distributive property to multiply −2 by x+1.

  • \large\displaystyle\text{$\begin{gathered}\sf 7x-2x-2=6x+14 \end{gathered}$}

Combine 7x and −2x to get 5x.

  • \large\displaystyle\text{$\begin{gathered}\sf 5x-2=6x+14 \end{gathered}$}

Subtract 6x on both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf 5x-2-6x=14 \end{gathered}$}

Combine 5x and −6x to get −x.

  • \large\displaystyle\text{$\begin{gathered}\sf -x-2=14 \end{gathered}$}

Add 2 to both sides.

  • \large\displaystyle\text{$\begin{gathered}\sf -x=14+2 \end{gathered}$}

Add 14 and 2 to get 16.

  • \large\displaystyle\text{$\begin{gathered}\sf -x=16 \end{gathered}$}

Multiply both sides by −1.

  • \large\displaystyle\text{$\begin{gathered}\sf x=-16 \ \ \to \ \ \ Answer \end{gathered}$}

<h2>{ Pisces04 }</h2>
3 0
1 year ago
Read 2 more answers
Find the value of 40% of 1KM (in m)​
labwork [276]

40% of 1 km in meters is 400 meters

<h3>What is percentage :</h3>

Percentage simply means per 100. Percentage can be express as decimal or fraction.

For example 25% of 80 can be found as follows:

  • 25 / 100 × 80 = 2000 / 100 = 20

From the example, 25% of 80 is 20 .

Therefore, 40% of 1 km(m) can be found as follows:

Let's convert km to metres.

1000m = 1km

40% of 1000

40 / 100 × 1000 = 40000 / 100 = 400metres

Therefore, 40% of 1 km in meters is 400 meters

learn more on percentage here: brainly.com/question/19540991?referrer=searchResults

5 0
2 years ago
Read 2 more answers
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