Ask question

Ask question

All categories

2 years ago

15

Astronomers measure large distances in light-years. One light-year is the distance that light can travel in one year, or approxi

mately 5.88*10*10*10*10*10*10*10*10*10*10*10*10 light-years from Earth. In scientific notation, approximately how many miles is it?

1 answer:

Blababa [14]2 years ago

4 0

The earth is about 2.5578*10'13 miles

You might be interested in

Lisa is planning for a party. She receives quotes from two party planners. Choice A quotes $18 per guest, plus $100 for renting

Ghella [55]

Answer:

x<20

Step-by-step explanation:

7 0

2 years ago

Lucy reads 72 chapters of a book in 8 hours. What is her rate in chapters per hour?

Sophie [7]

She read nine chapters each hour

8 0

2 years ago

Read 2 more answers

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

Anika [276]

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.

$2^2=x^2+1^2$

$4=x^2+1$

$4-1=x^2$

$3=x^2$

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.

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

$\frac{dy}{dt}=372.390923627$

$\frac{dy}{dt}\approx 372$

Therefore 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.

6 0

3 years ago

17=5k-2 what Is (k) help me please

MAXImum [283]

17=5k-2
add 2 to both sides
19=5k
divide both sides by 5
19/5=k
19/5=3 and 4/5

4 0

3 years ago

Read 2 more answers

a keycode must contain 2 letters and 3 numbers. the letters may be any letter of the alphabet. the numbers should be any number

Rufina [12.5K]

THERE ARE AT LEAST TWO KEY CODES

4 0

3 years ago