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gtnhenbr [62]
3 years ago
15

Need help!

Mathematics
1 answer:
Leya [2.2K]3 years ago
6 0

9514 1404 393

Answer:

  • clockwise
  • 90°
  • origin

Step-by-step explanation:

The answer statement tells you the transformation is a rotation. The original is in the 2nd quadrant, and the image is in the 1st quadrant, representing a clockwise rotation. AB points east, while A'B' points south, a rotation of 90° (clockwise). Each image point is the same distance from the origin as its preimage point. The origin is the center of rotation.

__

∆ABC is transformed by a <u> clockwise </u> rotation <u> 90 </u> degrees with a center at the <u> origin </u>.

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Answer:

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Step-by-step explanation:

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4 years ago
Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours. Then pumps Y and Z started working an
madam [21]

Answer:

The correct option is B) 12.

Step-by-step explanation:

Consider the provided information.

Working alone at its constant rate, pump X pumped out ¼ of the water in a tank in 2 hours.

As we know: rate =\dfrac{ work}{time},

The rate of pump X is \frac{\frac{1}{4}}{2} = \frac{1}{8}

\frac{1}{4} of the water is pumped out of the tank, that means only \frac{3}{4} is left to be pumped out.  

All 3 pumps pumped out the remaining \frac{3}{4} of the water out in 3 hours.

The combined rate of all three pumps is: \frac{\frac{3}{4}}{3} = \frac{1}{4}

Pump Y, working alone at its constant rate, would have taken 18 hours to pump out the rest of the water.

The rate of pump Y = \frac{\frac{3}{4}}{18} = \frac{1}{24}

Let z is the time taken by pump Z, then the rate of pump Z is \frac{1}{z}.

Therefore,

\dfrac{1}{8}+\dfrac{1}{24}+\dfrac{1}{z}=\dfrac{1}{4}

Multiplying both sides by 24 z.

3z + z + 24 = 6z\\24 = 2z\\12 = z

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5 0
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4/x=7/9 Round to the nearest tenth. 3.1 2.9 5.1 4.8
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worty [1.4K]
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6 0
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If a loan is taken out for $991 at 3% and cost 267.57 dollars how long was the loan for
CaHeK987 [17]

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9 years.

Step-by-step explanation:

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The time required to

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