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Alchen [17]
4 years ago
13

He model below can be used to find the quotient of one over two divided by one over six. What is the quotient?

Mathematics
2 answers:
sergiy2304 [10]4 years ago
8 0

Answer:

Quotient would be 3.

Step-by-step explanation:

The model below can be used to find the quotient of one over two dividend by one over six.

We will rewrite the problem :

\frac{1}{2} ÷ \frac{1}{6}

As we know when we divide the two fractions, we must invert the second fraction and put the sign of multiplication in place of division sign and multiply.

So now we can write the problem as :

\frac{1}{2} × \frac{6}{1}

= \frac{6}{2}

= 3

Quotient would be 3.

NemiM [27]4 years ago
5 0

1/2÷1/6

=

1/2*6/1

=

6/2

=

3

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Answer:

The rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station is 372 mi/h.

Step-by-step explanation:

Given information:

A plane flying horizontally at an altitude of "1" mi and a speed of "430" mi/h passes directly over a radar station.

z=1

\frac{dx}{dt}=430

We need to find the rate at which the distance from the plane to the station is increasing when it is 2 mi away from the station.

y=2

According to Pythagoras

hypotenuse^2=base^2+perpendicular^2

y^2=x^2+1^2

y^2=x^2+1               .... (1)

Put z=1 and y=2, to find the value of x.

2^2=x^2+1^2

4=x^2+1

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3=x^2

Taking square root both sides.

\sqrt{3}=x

Differentiate equation (1) with respect to t.

2y\frac{dy}{dt}=2x\frac{dx}{dt}+0

Divide both sides by 2.

y\frac{dy}{dt}=x\frac{dx}{dt}

Put x=\sqrt{3}, y=2, \frac{dx}{dt}=430 in the above equation.

2\frac{dy}{dt}=\sqrt{3}(430)

Divide both sides by 2.

\frac{dy}{dt}=\frac{\sqrt{3}(430)}{2}

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\frac{dy}{dt}\approx 372

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As we can see in the graph, the total distance that the truck can travel with 500 liters of fuel is ≅ 825 kilometres.

For answering the question properly, we use the Rule of Three Simple, this way:

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825                              500

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