Dos aviones salen del mismo aeropuerto,uno se dirige hacia el norte y el otro,al oriente.Cuando estan a 1580 km de distancia uno del otro,uno de ellos ha recorrido 800 km¿Que distancia ha recorrido el otro avion?

Answers

Answer 1

Answer: El otro avión recorrió a distancia de 1362.5 km.

Step-by-step explanation:

Vamos a definir:

Norte es el eje y-positivo.

Oriente (o este) es el eje x-positivo.

Y también sabemos que si tenemos los puntos (a, b) y (c, d)

La distancia entre esos puntos es:

Distancia = √( (a - c)^2 + (b - d)^2)

Ahora, uno de los aviones va hacia el norte, entonces si el aeropuerto está en la posición (0, 0), después de un rato viajando hacia el norte su nueva posición va a ser (0, A)

Mientras que el que va al oeste va a tener una nueva posición (B, 0)

La distancia entre ellos es:

Distancia = √( (B - 0)^2 + (0 - A)^2) = √( B^2 + A^2)

Sabemos que cuando la distancia entre ellos es 1580 km, uno de ellos ha recorrido 800km, asumamos que A = 800km.

Entonces tenemos la ecuación:

1580 km = √( B^2 + (800km)^2)

(1580km)^2 = B^2 + (800km)^2

(1580km)^2 - (800km)^2 = B^2

√((1580km)^2 - (800km)^2 ) = B = 1362.5 km

El otro avión recorrió a distancia de 1362.5 km.


Related Questions

6s + 3 = - 27 s=___ help

Answers

3=-27s-6s
3=-33s divide both sides by 3
s=-11

Answer:

[tex]6s + 3 = - 27 \\ 6s = - 27 - 3 \\ = - 30 \\ s = \frac{ - 30}{6} \\ s = - 5[/tex]

b = -4g + 52
Hi can u help me thanks

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Answer:

54wy35syrdhtrd

Step-by-step explanation:

oy86t4s2r4ssuc78t87y8ma769798bowss668768

In EFG, L is the centroid. If LJ=9 find EL.

Answers

Answer:

LG=LE=LF since it is the centroid. So I think it would also be 9.

What is the slope of the line that passes through the points (-4,5) and (0, -5)? Choose the BEST answer!

m = -10/4
m = -5/2
m= 0
m = 5/2

Answers

Answer:

m= -5/2

Step-by-step explanation:

formula for slope(m) : ΔY/ΔX (change in y coordinates - change in x coordinates)

change in y coordinates: 5-(-5) = 10

change in x coordinates: -4-(0) = -4

10/-4 = -5/2= -2.5

PLS HELP WILL GIVE BRAINLIEST!
if the diameter of a circle changes from 8 cm to 4 cm, how will the circumfrence change?
A.) multiplies by 1/2
B.) multiplies by 2
C.) increases by 6
D.) decreases by 6

Answers

The answer would be A) multiplies by 1/2

Write the linear equation in slope-Intercept form passing through the point with the glven slope. 1. (0, 3): slope = -2
2. (-5,-3); slope = -3/5
3. (-8,6); slope 1/4 Write the linear equation in slope-intercept form that passes through the given points.
4. (1,3) and (-3,-5)
5. (1,4) and (6.-1)
6. (-12, 14) and (6,-1)​

Answers

Answer:

1)y=-2x+3

2)Y=-3/5x-6

3)y=1/4x+8

4)M=2

5)y=5x-1

6)M=-5/6

Step-by-step explanation:

show step by step......​

Answers

Answer:

Step-by-step explanation:

Amount paid for first 100 watches = (65% of 80) *100

                                                        [tex]=\frac{65}{100}*80*100\\\\= 65*80\\= 5200[/tex]

Amount paid for next 50 watches = (55% of 80) * 50

                                                        [tex]= \frac{55}{100}*80*50\\\\= 55 * 8 * 5\\\\= 2200[/tex]

Remaining watches = 280 -(100+ 55)

                                 = 280 - 155 = 125

Amount paid for 125 watches = (45% of 80) *125

                                                  [tex]= \frac{45}{100}*80*125\\\\= 45 * 20 * 5\\\\= 4500[/tex]

Amount received by the watch maker = 5200 + 2200 + 4500

                                                               = £ 11900

hi hi help math please ill give brainliest too the person whom gets it right :))))))))))))​

Answers

Answer:

4/1

Step-by-step explanation:

The slope of the line is y/x or rise/run. The line increases in height (y) by 4, while it only travels (x) 1. The line travels 4y in the time it takes to travel 1x. 4/1 (or just 4)

PLZZ ANSWER FAST!! (WITH EXPLANATION)Mrs. Evans took a poll of which students in her class have a dog. If 24 students (4/5 of her entire class) have a dog, then how many total students are in Mrs. Evans' class?

Answers

So if it is 4/5, think of 1/5. 20% is 1/5. 40% is 2/5. 60% is 3/5. 80% is 4/5 so 24 divided by 80% is 30 students Total. Hope this helps!

Are the following equations parallel, perpendicular, or neither?
help me

Answers

Answer:

Neither

because parallel equations often have the same exact slop but different y- intercept and nor is it perpendicular because slop must be flipped over 1 and negative so its not evident there.

Hope it helps:))

Step-by-step explanation:

neither, the slopes are not opposite reciprocals from each other

A toy store sells accessories to go with the latest action figure. The store projects that it will sell a certain number of accessories for every box of a dozen action figures it orders. Let d represent one box of a dozen action figures.

Use the table to write an expression to represent the actual number of each accessory sold per box of action figures.

Accessory Turbo JET Pack X-Ray Vision Glasses Invisible SHIELD
Word Description Six times the number of boxes plus seven Five less than two times the number of boxes One more than ten times the number of boxes

Answers

The expression for the turbo jet pack is 6d+7, the equation for the x-ray vision glasses is 2d-5, and the equation for the invisible shield is 10d+1.

How to write an expression?

The steps to write an expression are:

Identify the variables or factors involved.Write the factors by relating them correctly using symbols such as +, -, x, etc.

What is the expression for the turbojet back?

The expression is 6d (six times the boxes) + 7 (plus seven).

What is the expression for the x-ray vision glasses?

The expression is 2d - 5 (two times the number of boxes minus five.

What is the expression for the invisible shield?

The expression is 10d + 1 (ten times the number of boxes plus one).

Learn more about x ray in: https://brainly.com/question/2833441

Need help on these please

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Answer:

1)16(x+y) is not equal to 4x+12y, it is equal to 16x+16y

2)2x^2-y+5+3 is not equal

3)3x & 3y

4)15x+15

5)commutative

The length of a rectangle is 1 foot less than 3 times the width. The area is 310 ft². Find the dimensions of the rectangle.

Answers

the dimension would be 10, i think


brainly pleaseee

please help(: ( 8th grade lesson)

Answers

Step-by-step explanation:

Since angle 1 is on a straight line and we know that angle 4 is 160, and a straight line has a sum of 180 degrees, simply subtract 160 from 180 to get angle 1.

Angle one would be 180-160 = 20

Since the sum of angles in a triangle is 180 and we already know 2 of them, angle 1 is 20 and angle 3 is 30, just add them together and then subtract that from 180. 20 + 30 = 50, and 180 - 50 = 130.

So in conclusion:

Angle 1 is: 20

Angle 2 is: 130

pls help how many terms r there?

Answers

Answer:

3

Step-by-step explanation:

This is to help me study for a math exam. Anyone that takes advantage of the points will be reported. ​Thank you!​

Answers

Answer:

2) (see image below)

3) x = 8  

   side(s) = 74

4) x = 10

   EF = DE = 67

   base = 31

Step-by-step explanation:

For No. 2, if you draw out two triangles with the corresponding angles, you can make it a lot easier. See the image below:

For No. 3, it is given that it's an equilateral triangle, meaning all sides and angles are congruent. So:

12x – 22 = 10x – 6 = 7x + 18

Instead of using all three at once, you can use any two. I'll be using:

12x – 22 = 10x – 6

2x = 16

x = 8

Plugging x in, we can get all the sides, because this is an equilateral triangle:

12x – 22

12(8) – 22

96 – 22

74

For No. 4, it is given that the triangle is an isosceles triangle where DE ≅ EF, so:

8x – 13 = 5x + 17

3x = 30

x = 10

Plugging in x for one of the congruent sides and the base, you can get your needed side length values:

8x – 13

8(10) – 13

80 – 13

67

x + 21

10 + 21

31

please help 20 points !!!! right answers please

Answers

Answer:

0.6 inch

Step-by-step explanation:

The volume of a sphere is calculated through the equation,

                           V = 4πr³/3

Which means that the radius is calculated by the equation,

                                (3V/4π)^(1/3) = r

Substituting,

           Sphere A,       (3x30/4π)^(1/3) = r = 1.927 in

           Sphere B,        (3x10/4π)^(1/3) = r = 1.336 in

When we subtract the radius, we get an answer of 0.59 inch. Therefore, the answer to this item is approximately 0.6 inch.

if you spin the spinner 40 times, how many 4'

Answers

Answer:

10

Step-by-step explanation:

Answer:

Your prediction would be eight 4's

Step-by-step explanation: I just solved it!

Select the correct answer.

Look at the graph below.

Which of the following statements are true, based on the graph?

A. The number of hours depends on the number of boxes manufactured.

B. The number of boxes manufactured depends on the number of hours.

C. The number of pens depends on the number of boxes manufactured.

D. The number of pens depend on the number of hours.

Answers

Answer:

B. The number of boxes manufactured depends on the number of hours.

Step-by-step explanation:

The graph shows that as more time passes, more boxes are being manufactured. Therefore, the number of boxes relies on the number of hours.

Hope this helps :)

5(a-6) in expanded form?

Answers

Answer:

5a - 30

Step-by-step explanation:

Answer:

5a - 30

Step-by-step explanation:

Distributive property: a(b + c) = a*b + a*c

5(a - 6)= a * 5 - 6*5

          = 5a - 30

How far is the portion of her route from H to A? Round to the nearest whole number. Explain. PLS HELP ME I NEED IT BY TONIGHT

Answers

Answer:

2089

Step-by-step explanation:

please help me on this will give you brainliest!!

Answers

Answer:

bc= 6

Step-by-step explanation:

since the triangles are similar, the sides are in a ratio

xz/ac = 20/4 (5:1)

yx/ba = 15/3 (5:1)

yz/bc = 5:1 = 30/6

The answer would be ?=6 because 15/3=5 20/4=5 so 30/5=6

Hope this helps

Have a great day/night

If I was asked to think of a number and multiply it by 2, I could write this algebraically as 2x.
Write the following algebraically using x as your unknown.

“I think of a number, multiply it by 2, subtract 3 and multiply the result by 4”

Answers

Answer:

8x - 12

Step-by-step explanation:

Let the number be x

multiply by 2

= x * 2 = 2x

Subtract 3 ;

2x-3

Multiply result by 4

=

4(2x -3) = 8x-12

Help me with this one!

Answers

Answer:

It’s A

Step-by-step explanation:

Cuz it’s just the numbers are replaced in different places but when u multiply u get the same ans ig

Alex is y years old. His sister Bella is 4 years older than him. Carla is double Alex's age. The sum total of their ages is 32 form and solve an equation to work out the ages of the three children

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Answer:

I dont understand what this question is trying to say, but you should just use a calculator.

Step-by-step explanation:

Sorry!

Help me pleaseeeeeeeeeeeeewe

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Answer:

no its x = - 4

Step-by-step explanation:

Write each phrase as an algebraic expression
1. Jenny is 5 times as old

2. Brandon spent 10 dollars more

Answers

Answer:

1. "5 times as" means multiply by 5.

Jenny = x * 5

2. "10 dollars more" means add 10

Brandon = x + 10


Match the description to the graph:
help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help help pls help. I will mark you as Brainly if you help me, also I will also very thank to u.

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Answer:

1.)B 2.)C 3.)D

Step-by-step explanation:

sanaakantulong please give me brainlist

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The first distance is b. The second distance is c. And the last distance is d.

Step-by-step explanation:

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Answer:

4 square root 5 is the answer

root(20*4)

2 × root(5×4)

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PLZ HELP PLZ HELP WHATS THE ANSWER


Seven times the first number plus six times the second number equals 31.


- Three times the first number minus ten times the second number is 29.

WHAT ARE THE TWO NUMBERS

Answers

For the first equation it should be 1 and 4 because 7(1)+6(4) would simplify to 7+24 which equals 31.

Then for the second equation, well... there’s multiple answers:

First would be 3 and -2 because 3(3)-10(-2) simplifies to 9+20=29.

Another one would be 23 and 4 because 3(23)-10(4) simplifies to 69-40=29.

Hopefully this helps :D

The first number will be [tex]\frac{11}{2}[/tex] and the second number will be [tex]-\frac{5}{4}[/tex].

Let the first number be x and the second number be y.

According to the question,

Since seven times the first number plus six times the second number equals 31. So,

[tex]7x+6y=31.......(1)[/tex]

Similarly,Three times the first number minus ten times the second number is 29.So,

[tex]3x-10y=29.......(2)[/tex]

Multiplying equation (1) by 3 and equation (2) by 7, we get

[tex]21x+18y=93[/tex]

[tex]21x-70y=203[/tex]

Now subtracting both the equations we get,

[tex]88y=-110[/tex]

[tex]y=-\dfrac{110}{88}[/tex]

[tex]y=-\dfrac{5}{4}[/tex]

putting the value of x in equation (1) we get,

[tex]7x+6\times-\dfrac{5}{4} =31[/tex]

[tex]7x-\dfrac{15}{2}=31\\[/tex]

[tex]7x=31+\dfrac{15}{2}[/tex]

[tex]7x=\dfrac{77}{2}[/tex]

[tex]x=\dfrac{11}{2}[/tex]

Hence the first number is [tex]\frac{11}{2}[/tex] and the second number is [tex]-\frac{5}{4}[/tex].

For more details on solving linear equation in two variables follow the link:

https://brainly.com/question/10270150

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