Please explain in detail step by step

Answer:

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Step-by-step explanation:

The distance between both airplanes (r), in kilometers, can be determined by the Pythagorean Theorem, that is:

[tex]r^{2} = x^{2}+y^{2}[/tex] (1)

Where:

[tex]x[/tex] - Distance of the westbound airplane from airport, in kilometers.

[tex]y[/tex] - Distance of the southbound airplane from airport, in kilometers.

By Differential Calculus, we derive an expression for the rate of change of the distance between the airplanes ([tex]\dot r[/tex]), in kilometers per hour:

[tex]2\cdot r\cdot \dot r = 2\cdot x \cdot \dot x + 2\cdot y \cdot \dot y[/tex]

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex] (2)

Where:

[tex]\dot x[/tex] - Rate of change of the distance of the westbound airplane, in kilometers per hour.

[tex]\dot y[/tex] - Rate of change of the distance of the southbound airplane, in kilometers per hour.

If we know that [tex]x = 17\,km[/tex], [tex]y = 28\,km[/tex], [tex]\dot x = -164\,\frac{km}{h}[/tex] and [tex]\dot y = -271\,\frac{km}{h}[/tex], then the rate of change of the distance between the airplanes is:

[tex]\dot r = \frac{x\cdot \dot x + y\cdot \dot y}{\sqrt{x^{2}+y^{2}}}[/tex]

[tex]\dot r \approx -316.760\,km[/tex]

The rate of change of the distance between the airplanes is approximately 316.760 kilometers.

Answer:

i have done this so its 2

Step-by-step explanation:

Answer:

83

Step-by-step explanation:

a = 25

The biggest angle is (3a+8) = 83

Answer:

83

Step-by-step explanation:

(3a+8)+(60-a)+(4a-38)=180

combine like terms, 6a+30=180

inverse operation to isolate the variable, 6a=150

divide six on both sides, a=25

replace a in every expression, 3(25)+8=83

60-25=35

4(25)-38=62

83 is biggest out of the three, therefore 83 is the answer.

Answer:

580

Step-by-step explanation:

I wanted to use the Pythagoras theory but I noted that they've given us the hypotenuse which is 8.6 they have already given us the height is 7 and the base is 5 when you use the Pythagoras theory you'll find that there hypotenuse is 8.6 that's why I wrote forget it there's no need of finding the base and the height for the other triangle just transfer 7 and 5 then calculate the volume I guess I got the answer is 580 hope it helps you good day.

Answer:

70%

Step-by-step explanation:

7/10 = 0.70 x100 = 70%

Answer:

The answer would be 333.334 jumps.

Step-by-step explanation:

So remember, there are 1000 meters in 1 kilometer. The frog can jump 3 meters. The nearest water is 1 kilometer. So, lets divide 1 km(1000m) by 3m:

1000/3

=

333.34

This is the answer.

Hope this helps!

Answer:

Looks like we got the same packet so i'll answer all of the questions you wrote on it.

The answers are: B, C, and F

Answer:

B C and F

Step-by-step explanation:

Answer:

The second one.

Step-by-step explanation:

For first function y = 2x the rate of change = 2.

Second function: rate of change = (12-6)/(3-1) = 6/2 = 3

Third: it's -0.2.

Fourth: it's  (2.5 -3)/ 1= -0.5.

Answer:

around  1/4

Step-by-step explanation:

Answer:

AB = 48

AD = 7√2

Step-by-step explanation:

since AD - 26, DB = 26 and DC = 26

AE² = 26² - 10² = 676 - 100 - 576

AE = √576 = 24

AB = 2 x 24 = 48

If arc BC is 45°, then ∠BDC = 45°

AD² = 7² + 7² = 49 + 49 = 98

AD = √98 = 7√2

Answer:

13

------

28

I think that's the answer

Answer:

Yes, his calculation is reasonable. He will have about $16.67 left.

Step-by-step explanation:

200 - (200 * .2) = $160 Subtract money for savings

99.95 + (99.95 * .07) + (17*2) + (17 * .07) + (17 * .07) = $143.33 Add taxes

160 - 143.33 = $16.67 Subtract money for purchases from money left after savings

Answer:

go six units on the x-axis and move no spaces up or down.

Step-by-step explanation:

Answer:

I think its $8,480 if not I'm sorry

Answer:

8483.60 I had this question too and decided to help you.

Step-by-step explanation:

Skew lines are two or more lines that do not intersect, are not parallel, and are not coplanar. (Remember that parallel lines and intersecting lines lie on the same plane.)

Answer:

46080000

I think you didnt give the dimensions right so I had to get them

The expanded form of a number is every digit with its own zero's and its own SINGLE digit. For example, the expanded form of 12 is 10+2=12, or the expanded form of 13498 is 10000+2000+400+90+8=13498.

We can now figure out that 5600 in expanded form is 5000+600+00+0=5600, but the extra 00+0 is not neccessary, so our final answer is 5000+600=5600

:)

Answer:

28 i think [⩾▾⩽]

Step-by-step explanation:

since this is a right angle, all you have to do is subtract 62 from 90 because a right angle is equal to 90 degrees.

hope this helps^^

have a great day :D

Answer:

Step-by-step explanation:

y=2x²-6x+3

y=2x+3

2x²-6x+3=2x+3

2x²-6x+3-2x-3=0

2x²-8x=0

2x(x-4)=0

x=0,4

y=0+3=3

and y=2(4)+3=11

so solutions are (0,3) and (4,11)

To figure this out we keep in mind two rules

1. A triangles sum of angles is 180

2. An angle of a triangle can not be 0

So the answer is the following

2, 3 & 4

(っ◔◡◔)っ ♥ Hope It Helps ♥

9514 1404 393

Answer:

  7 1/3 hours

Step-by-step explanation:

We are to assume that the total number of heater-hours required is a constant. That is, the time is inversely proportional to the number of heaters.

If the number of heaters goes up by a factor of 6/4 = 3/2, then the number of hours will go down by the inverse factor: 2/3.

With 6 heaters instead of 4, the time required is (2/3)(11 hours) = 7 1/3 hours.

Answer:

7 days or, more specifically 7.455 days

Step-by-step explanation:

71 miles divided up into groups of 11

71 mi. ÷ 11 mi. at a time

71 ÷ 11 = 6.455

rounds up to 7 days

6 days will it take him to run 712 miles.

The division is the process of repetitive subtraction. It is the inverse of the multiplication operation. It is defined as the act of forming equal groups. While dividing numbers, we break down a larger number into smaller numbers such that the multiplication of those smaller numbers will be equal to the larger number taken.

Given

Emilio has to run 712 miles every week to train for the football team.

If he runs 112 miles every day

Based on the given conditions

= [tex]\frac{712}{112}[/tex]

= 6.35

≅ 6 days

Thus, 6 days will it take him to run 712 miles.

Find out more information about division here

https://brainly.com/question/1575906

#SPJ3

Answer:

the length of ac is 16.

Step-by-step explanation:

Given;

A is right angle, = 90⁰

B is 30⁰

ab = 16√3

              C

              ↓

               ↑

               A   →      ←  B

If this right angle triangle is considered, length bc is the hypotenuse and length ac is the opposite side of angle B.

The length of ac is calculated as follows;

[tex]tan \ B = \frac{opposite \ side}{adjacent \ side} \\\\tan \ B = \frac{ac}{ab} \\\\ac = ab \ \times \ tan \ B\\\\ac = 16\sqrt{3} \ \times \frac{\sqrt{3} }{3} \\\\ac = \frac{16 \sqrt{9} }{3} \\\\ac = \frac{16 \times 3}{3} \\\\ac = 16[/tex]

Therefore, the length of ac is 16.

Answer:

The fractional probability of having 4 boys and 0 girls, in any order, in a family's first 4 births is 1/16

Step-by-step explanation:

Total number of kids in Jackson family = 4 (4 boys and 0 girls)

Probability of having a boy = 1/2 =0.5

Probability of having a girl = 1/2 =0.5

Fractional probability of having 4 boys and 0 girls in any order

(1/2*1/2*1/2*1/2) + 0

= 1/16

Answer: the answer choices listed above are wrong the correct answer would be 7

Step-by-step explanation:

Answer:

6x+8

Step-by-step explanation:

Answer:

6x+8

Step-by-step explanation:

i just got i right

Answer:

x = 60

Step-by-step explanation:

That square on the angle means 90 degrees so since the other angle is 30 that means x has to be 60

Answer:

B) $143

Step-by-step explanation:

Answer:

4th option

Step-by-step explanation:

The chord- chord angle 67.5° is half the sum of the arcs intercepted by the angle and its vertical angle, that is

67.5 = [tex]\frac{1}{2}[/tex] (x + 90)