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2 years ago

Why is 1/8 greater than 1/10 but less than 1/3

1 answer:

6 0

because the bigger the bottom or left number is the smaller the value unless t was like 10/10 that's bigger than them all

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An airliner maintaining a constant elevation of 2 miles passes over an airport at noon traveling 500 mi/hr due west. At 1:00 PM,

butalik [34]

Answer:

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

Step-by-step explanation:

Let suppose that airliners travel at constant speed. The equations for travelled distance of each airplane with respect to origin are respectively:

First airplane

$r_{A} = 500\,\frac{mi}{h}\cdot t\\r_{B} = 550\,\frac{mi}{h}\cdot t$

Where t is the time measured in hours.

Since north and west are perpendicular to each other, the staight distance between airliners can modelled by means of the Pythagorean Theorem:

$s=\sqrt{r_{A}^{2}+r_{B}^{2}}$

Rate of change of such distance can be found by the deriving the expression in terms of time:

$\frac{ds}{dt}=\frac{r_{A}\cdot \frac{dr_{A}}{dt}+r_{B}\cdot \frac{dr_{B}}{dt}}{\sqrt{r_{A}^{2}+r_{B}^{2}} }$

Where $\frac{dr_{A}}{dt} = 500\,\frac{mi}{h}$ and $\frac{dr_{B}}{dt} = 550\,\frac{mi}{h}$ , respectively. Distances of each airliner at 2:30 PM are:

$r_{A}= (500\,\frac{mi}{h})\cdot (1.5\,h)\\r_{A} = 750\,mi$

$r_{B}=(550\,\frac{mi}{h} )\cdot (1.5\,h)\\r_{B} = 825\,mi$

The rate of change is:

$\frac{ds}{dt}=\frac{(750\,mi)\cdot (500\,\frac{mi}{h} )+(825\,mi)\cdot(550\,\frac{mi}{h})}{\sqrt{(750\,mi)^{2}+(825\,mi)^{2}} }$

$\frac{ds}{dt}\approx 743.303\,\frac{mi}{h}$

6 0

2 years ago

Coordinate plane with quadrilaterals ABCD and EFGH with A at 0 comma 0, B at 2 comma 0, C at 3 comma negative 2, D at negative 1

charle [14.2K]

Answer:

No, quadrilaterals ABCD and EFGH are not similar because their corresponding segments are not proportional

Step-by-step explanation:

Corresponding sides have the same slope, so corresponding angles are congruent.

Side AB is 1/2 the length of side EF; side BC is equal to the length of FG, so corresponding sides are not proportional.

The two quadrilaterals are not similar because their corresponding segments are not proportional (last choice).

8 0

2 years ago

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Which equation has a solution of 26?

lys-0071 [83]

Answer:

x=− 2/3 =−0.667

x=4

Step-by-step explanation:

3 0

2 years ago

What is the slope of this graph? I WILL GIVE BRAINLIEST PLSSSS 100 points 3,2 1,4

jeyben [28]

Step-by-step explanation:

Slope = -5/5 = -1

8 0

2 years ago

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Morgan jogged51.2kilometersin one weekkelly jogged6 less whats my answer

Andrei [34K]

If you would like to know how many kilometers did Kelly jog that week, you can calculate this using the following steps:

Morgan: 51.2 kilometers
Kelly: Morgan - 6 kilometers = 51.2 - 6 = 45.2 kilometers

The correct result would be 45.2 kilometers.

7 0

2 years ago

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