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Over [174]
3 years ago
8

∆ABC m∠B = 90° AB = 4 BC = 3 Find AC

Mathematics
1 answer:
lutik1710 [3]3 years ago
8 0

Step-by-step explanation:

In ∆ABC, m∠B = 90°

Therefore ∆ABC is a right angled triangle with sides AB = 4 & BC = 3. AC is the hypotenuse.

Hence, by Pythagoras theorem:

AC^2 = AB^2 +BC^2  \\  \\  \therefore \: AC =  \sqrt{AB^2 +BC^2 }  \\  =  \sqrt{ {4}^{2} +  {3}^{2}  }  \\  =  \sqrt{16 + 9}  \\  =  \sqrt{25}  \\  = 5 \\  \\ \huge \red{ \boxed{ \therefore \: AC = 5 \: units}}

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2 years ago
What dose 2+7x=5x+14 equal
weqwewe [10]

Answer:

x=6

Step-by-step explanation:

2+7x=5x+14

Subtract 2 from both sides:

2+7x-2=5x+14-2

7x=5x+12

Subtract 5x from both sides:

7x-5x=5x+12-5x

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Divide both sides by 2:

\frac{2x}{2}=\frac{12}{2}

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3 0
3 years ago
Read 2 more answers
Mar 12: 3
erastovalidia [21]

Answer:

  • Mar 18: 125
  • Mar 19: 318
  • Mar 20: 743
  • Mar 25: 15,070

Step-by-step explanation:

The six seemingly arbitrary points have no common difference or ratio, so cannot be modeled by a linear or exponential function.

The differences of the differences are not constant at any level, so the only polynomial model is 5th-degree. It is ...

  (6n^5 -95n^4 +600n^3 -1825n^2 +2814n -1320)/60

where n = days after Mar 11. (Mar 12 corresponds to n=1.) The domain is n ≥ 1.

____

The 5th-degree polynomial increases very fast, but not as fast as an exponential function would.

The values for Mar 12 through Mar 25 are ...

  3, 8, 11, 16, 25, 50, 125, 318, 743, 1572, 3047, 5492, 9325, 15070

6 0
3 years ago
Triangle ABC is a right triangle. The length of one leg is 30 cm and the hypotenuse is 78 cm. What is the length of the other le
Liono4ka [1.6K]

Answer:

72

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there is 180 degrees in a triangle

4 0
2 years ago
Um negociante comprou 8 barricas de vinho todas com a mesma capacidade tendo pago R$7,00 o litro é vendido a R$9,00 ele ganhou a
Law Incorporation [45]

Answer:

each barrel has a capacity of 78,75  liters

Step-by-step explanation:

since the sold 8 barrels and assuming that each have the same capacity and are sold to the same price, the total amount he earned is

total earnings = number of barrels * number of liters/ barrel * earnings/liter

R$1,260,00 = 8 barrels * number of liters/ barrel * ( R$9,00- $7,00) /liter

number of liters/ barrel = R$1,260,00/(8 barrels*R$2,00 /liter ) = 78,75 liters/barrel

therefore each barrel has a capacity of 78,75  liters

5 0
2 years ago
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