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MatroZZZ [7]
3 years ago
12

Chen completed the division problem below. 0.9 StartLongDivisionSymbol 192.6 EndLongDivisionSymbol right arrow 9 StartLongDivisi

onSymbol 192.6 EndLongDivisionSymbol minus 18 = 12. 12 minus 9 = 36. 36 minus 36 = a remainder of 0 and a quotient of 21.4. What is Chen’s error? He included a 4 in the quotient, which does not belong. He multiplied the dividend by 100 instead of 10. He should have multiplied both numbers by 100. He did not subtract correctly in one of the steps.

Mathematics
2 answers:
Sergeu [11.5K]3 years ago
6 0

Answer:

b

Step-by-step explanation:

tatuchka [14]3 years ago
3 0

Answer:

He should have multiplied both numbers by 100

Step-by-step explanation:

Given

See Attachment for given

Required

What's Chen error

Chen error is at step 2 where he changed 0.9 to 9.

Any changes made on the divisor must also be made on the dividend

He got 9 by multiplying 0.9 by 10;

So, his mistake is that he should have multiplied both numbers by the same number.

From the list of given options, the option that best answer this question is He should have multiplied both numbers by 100

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The shorter leg of a right triangle is 7cm shorter than the longer leg. The hypotenuse is 7cm longer then the linger leg. What i
Gelneren [198K]

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Step-by-step explanation:

Let,

The longer leg = x

The shorter leg = x-7

Hypotenuse = x+7

Using Pythagoras theorem;

a^2+b^2=c^2\\(x-7)^2+(x)^2=(x+7)^2\\x^2-14x+49+x^2=x^2+14x+49\\2x^2-14x+49-x^2-14x-49=0\\x^2-28x=0\\x(x-28)=0\\

Either,

x= 0

Or,

x-28=0      =>x=28

As length cannot be zero, therefore,

Longer side = 28cm

Shorter side = x-7 = 28-7 = 21cm

Hypotenuse = x+7 = 28+7 = 35cm

The shorter leg is 21cm, longer leg is 28 cm and hypotenuse is 35cm.

Keywords: triangle, pythagoras theorem

Learn more about triangles at:

  • brainly.com/question/9323337
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5 0
3 years ago
За +6+5а<br> Can you write an equivalent expression by combining like terms.
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Answer:

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Charlie is watching hot air balloons. balloon a has risen at a 50° angle. balloon b has risen at a 78° angle. if the distance fr
AfilCa [17]

The distance from Balloon A to Balloon B, d ≈ 1,052 feet

What is distance ?

  • Distance is defined to be the magnitude or size of displacement between two positions.
  • Note that the distance between two positions is not the same as the distance traveled between them.
  • Distance traveled is the total length of the path traveled between two positions. Distance traveled is not a vector.

The given parameters are;

The angle at which Balloon A rises, x° = 50° above horizontal

The angle at which Balloon B rises, y° = 78° above horizontal

The (vertical) distance of Balloon A to the ground, h = 1,000 ft.

The required parameter;

The distance from Balloon A to Balloon B, d

We find the distances of the balloons from Charlie and the angle between the balloon strings, θ, then apply cosine rule

Let,

The height of the balloon strings are equal

The distance of Balloon A to the ground, h₁ = The distance of Balloon B to the ground, h₂ = 1,000 ft.

The distance of the Balloon A  from Charlie, l₁, is given as follows;

l₁ × sin(x°) = h₁

∴ l₁ = h₁/(sin(x°))

Which gives;

l₁ = 1,000 ft./(sin(50°)) ≈ 1,305.41 ft.

l₁ ≈ 1,305.41 ft.

For Balloon B, we get;

h₁ = h₂ = 1,000 ft.

∴ l₂ = 1,000 ft./(sin(78°)) ≈ 1,022.34 ft.

l₂ ≈ 1,022.34 ft

The angle between the balloon strings, θ = 180° - (x° + y°)

∴ θ = 180° - (50° + 78°) = 52°

The angle between the balloon strings, θ = 52°

By cosine rule, we have;

d = √(l₁² + l₂² - 2 × l₁ × l₂ × cos(θ))

∴ d = √(1,305.41² + 1,022.34² - 2 × 1,305.41×1,022.34 × cos(52°)) ≈ 1,052 feet

Therefore, the distance from Balloon A to Balloon B, d ≈ 1,052 feet

Learn more about distance

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Answer:

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Answer:

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Step-by-step explanation:

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