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3 years ago

Each model represents a fraction which correctly compares the fractions

Mathematics

1 answer:

777dan777 [17]3 years ago

6 0

If i’m not wrong, i would say C is the correct answer because for the first circle, there’s 8 in total and there is 4 shaded out, for the second one, there’s 4 total and 1 shaded out.

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Need help on this don't get it

Gnoma [55]

Your answer would be 62

3 0

3 years ago

A plane flying horizontally at an altitude of 1 mi and a speed of 470 mi/h passes directly over a radar station. Find the rate a

kiruha [24]

Answer:

407 mi/h

Step-by-step explanation:

Given:

Speed of plane (s) = 470 mi/h

Height of plane above radar station (h) = 1 mi

Let the distance of plane from station be 'D' at any time 't' and let 'x' be the horizontal distance traveled in time 't' by the plane.

Consider a right angled triangle representing the above scenario.

We can see that, the height 'h' remains fixed as the plane is flying horizontally.

Speed of the plane is nothing but the rate of change of horizontal distance of plane. So, $s=\frac{dx}{dt}=470\ mi/h$

Now, applying Pythagoras theorem to the triangle, we have:

$D^2=h^2+x^2\\\\D^2=1+x^2$

Differentiating with respect to time 't', we get:

$2D\frac{dD}{dt}=0+2x\frac{dx}{dt}\\\\\frac{dD}{dt}=\frac{x}{D}(s)$

Now, when the plane is 2 miles away from radar station, then D = 2 mi

Also, the horizontal distance traveled can be calculated using the value of 'D' in equation (1). This gives,

$2^2=1+x^2\\\\x^2=4-1\\\\x=\sqrt3=1.732\ mi$

Now, plug in all the given values and solve for $\frac{dD}{dt}$ . This gives,

$\frac{dD}{dt}=\frac{1.732\times 470}{2}=407.02\approx 407\ mi/h$

Therefore, the distance from the plane to the station is increasing at a rate of 407 mi/h.

6 0

4 years ago

7. In which step does a mistake first occur?

BartSMP [9]

Answer:

8+2+

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Water is leaking out of an inverted conical tank at a rate of 12,500 cm3/min at the same time that water is being pumped into th

Scorpion4ik [409]

Answer:

12500cm x3= 37500

6x3=18

37500+18=37518

7 0

3 years ago

A diver is a horizontal distance of 50 feet from a boat and 120 feet beneath the surface of the water. What distance will the di

amid [387]

Answer:

The answer is 130 feet

Step-by-step explanation:

Using Pythagoras' Theorem:

120² + 50² = diagonal²

diagonal² = 16900ft

diagonal = √16900

= 130ft

(Correct me if i am wrong)

4 0

3 years ago