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PolarNik [594]
4 years ago
12

HELP ASAP PLEASE !!!!!!!!!!!!!!

Mathematics
1 answer:
Damm [24]4 years ago
3 0

Answer:

Step-by-step explanation:

Think of drawing a right triangle, with the hypotenuse connected to points A and B.  The hypotenuse, or the distance between A and B is 2√10.  2√10 is the same thing as √40.  Thus, because of Pythagorean theorem, a^2 + b^2 = 40. One combination would be a=2 and b = 6 and another would be a = 6 and b = 2.  Thus, the two places point B could be are (3,7) and (7,3).

Hope it helps <3

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On 5 days, lisa swam 650 meters, 675 meters, 725 meters, 800 meters, and 900 meters. What was her average distance per day?
zlopas [31]

Answer:

Her average per day was 750 meters.

Step-by-step explanation:

To find the average, add all the numbers up in the set and divide by how many numbers there are.

650 + 675 + 725 + 800 + 900 = 3750. Divide it by 5 and you get 750

6 0
3 years ago
Read 2 more answers
(Algebra) Can anybody help me with this please and thank you
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3 years ago
Evaluate7.2÷0.38.(Round to the hundredth place as needed.)
polet [3.4K]

Answer:

18.95

Step-by-step explanation:

18.94736842 rounded to its nearest hundredth will be 18.95

6 0
3 years ago
Two planes left simultaneously from the same airport and headed in the same direction towards another airport 3600 km away. The
ExtremeBDS [4]

Answer:

  • 800 kph
  • 600 kph

Step-by-step explanation:

<u>Equation</u>

Let s represent the speed of the faster plane. Then its travel time is ...

  time = distance/speed = 3600/s

travel time for the slower plane is ...

  time = distance/speed = 3600/(s -200)

The difference in these times is 1.5 hours, so we have ...

  3600/(s -200) -3600/s = 1.5

<u>Solution</u>

Multiplying by (2/3)s(s -200), we get ...

  2400(s) -2400(s -200) = s(s -200)

  s^2 -200s -480000 = 0 . . . . . . . . . . rewrite in standard form

  (s -800)(s +600) = 0 . . . . . . . . . . . . . factor

The positive value of s that makes a factor zero is s = 800.

<u>Conclusion</u>

The speed of the faster plane was 800 km/h; of the slower plane, 600 km/h.

_____

<em>Check</em>

The travel time for the faster plane was 3600/800 = 4.5 hours. For the slower plane, 3600/600 = 6 hours, a difference of 1.5 hours.

6 0
3 years ago
In a right triangle ABC, CD is an altitude, such that AD=BC. Find AC, if AB=3 cm, and CD= 2 cm.
konstantin123 [22]

Consider right triangle ΔABC with legs AC and BC and hypotenuse AB. Draw the altitude CD.

1. Theorem: The length of each leg of a right triangle is the geometric mean of the length of the hypotenuse and the length of the segment of the hypotenuse adjacent to that leg.

According to this theorem,

BC^2=BD\cdot AB.

Let BC=x cm, then AD=BC=x cm and BD=AB-AD=3-x cm. Then

x^2=(3-x)\cdot 3,\\ \\x^2=9-3x,\\ \\x^2+3x-9=0,\\ \\D=3^2-4\cdot (-9)=9+36=45,\\ \\\sqrt{D}=\sqrt{45}=3\sqrt{5},\\ \\x_1=\dfrac{-3-3\sqrt{5} }{2}0.

Take positive value x. You get

AD=BC=\dfrac{-3+3\sqrt{5} }{2}\ cm.

2. According to the previous theorem,

AC^2=AD\cdot AB.

Then

AC^2=\dfrac{-3+3\sqrt{5} }{2}\cdot 3=\dfrac{-9+9\sqrt{5} }{2},\\ \\AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

Answer: AC=\sqrt{\dfrac{-9+9\sqrt{5} }{2}}\ cm.

This solution doesn't need CD=2 cm. Note that if AB=3cm and CD=2cm, then

CD^2=AD\cdot DB,\\ \\2^2=AD\cdot (3-AD),\\ \\AD^2-3AD+4=0,\\ \\D

This means that you cannot find solutions of this equation. Then CD≠2 cm.

8 0
3 years ago
Read 2 more answers
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