Flight 101, headed straight north, climbed to 30,000 feet and started its cruising speed of 360 mph 10 miles south of the point directly above our location. Flight 222, headed straight west, already cruising at 30,000 feet at 300 mph, was 5 miles east of the point above us at that time. Clearly, the paths of the planes intersect directly above us. Do they collide? Parametrize the linear paths and give the times when they are at the intersection point. By how many seconds do they miss each other?

Answers

Answer 1

Answer:

The answer is "40 second".

Step-by-step explanation:

Flight 101 headed north straight, ascended to a speed of 30,000 feet, and began a 360 mph cruising speed 10 kilometers from the point above our place. Flight 222, heading right west, was at the same time five miles east of the above-used spot already at 30 000 feet at 300 mph.

[tex]flight\ 101: x=0;\\\\y-10 +360 t\\\\10=360 t\\\\t=\frac{1}{36} \ hrs\\\\flight\ 222: x=5-300t\\\\ y=0\\\\5=300 t\\\\t=\frac{1}{60} \ hr\\\\[/tex]

Their [tex]\frac{1}{36}-\frac{1}{60}=\frac{1}{90}\ hr=40[/tex]seconds are missing each other.


Related Questions

how many degrees is a acute angle

Answers

The answer is 90 degrees

Any angle that measures less than 90 degrees

3x2 - 4x + 2
a) cubic binomial
b) quartic trinomial
c) quadratic trinomial
d) quadratic binomial

Answers

Answer:

c

Step-by-step explanation:

A quadratic trinomial has the form of ax² + bx + c

e.g. 3x² + 4x + 2

A quadratic binomial has the form of ax² + bx

e.g. 3x² + 4x

A cubic binomial has the form : ax³ + bx

3x³ + 4x

Mr. Nelson sold a car for $1,380 that cost
him $1,500. What was his percent of loss
based on the cost?​

Answers

Answer:

The loss is $120 and the loss percentage is 8%.

Step-by-step explanation:

Given that,

SP of a car = $1,380

CP of a car = $1,500

As CP > SP, it means there is a loss in selling of that car.

Loss = CP - SP

= $1,500 - $1,380

= $120

Loss percentage,

[tex]\%=\dfrac{loss}{CP}\times 100\\\\=\dfrac{120}{1500}\times 100\\\\=8\%[/tex]

Hence, the loss is $120 and the loss percentage is 8%.

help pleaseeeeeee :(

Answers

Answer:

Do 16 times pi.

Step-by-step explanation:

The closest answer is D.

Answer:

8 (option 1)

Step-by-step explanation:

Mark it as option 1 => 8 is the crt answer

2pi r = 16

r = 8

Which of the following is true about the figure?

a. m MUC - m MUP = m PUC
b. m DUC + m VUA = m DUV
C. m MUC = m MUV = m VUA = m AUD
d. m CUA + m DUP = m PUM​

Answers

Answer:

a. m<MUC - m<MUP = m<PUC

Step-by-step explanation:

From the options given, the only statement that is true of the figure shown is:

a. m<MUC - m<MUP = m<PUC

Rationale:

m<MUC = m<MUP + m<PUC (Angle Addition Postulate)

Subtract m<MUP from each side

m<MUC - m<MUP = m<PUC

. Three employees each clocked a different number of hours worked this week.
Employee Hours Worked Total Earned (in dollars)
A 35 $420
B 22 $242
C 16 $216
Which employee has the highest earnings per hour?
A) Employee A
B) Employee B
C) Employee C

Answers

Answer:

C IS THE ANSWER

C im pretty sure is the answer

write an equivalent expression 8(y-7z+1)

Answers

Answer:

8y−56z+8

Step-by-step explanation:

help please triangles and trig

Answers

Answer:

[tex]\sin L = \frac{3}{5}[/tex]

[tex]\tan N = \frac{4}{3}[/tex]

[tex]\cos L = \frac{4}{5}[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Step-by-step explanation:

Given

The above triangle

First, we calculate the length LM using Pythagoras theorem.

[tex]LN^2 = LM^2 + MN^2[/tex]

[tex]10^2 = LM^2 + 6^2[/tex]

[tex]100 = LM^2 + 36[/tex]

Collect like terms

[tex]LM^2 = 100 - 36[/tex]

[tex]LM^2 = 64[/tex]

Take positive square root

[tex]LM=8[/tex]

Solving (a): Sin L

[tex]\sin L = \frac{Opposite}{Hypotenuse}[/tex]

[tex]\sin L = \frac{MN}{LN}[/tex]

[tex]\sin L = \frac{6}{10}[/tex]

Simplify

[tex]\sin L = \frac{3}{5}[/tex]

Solving (b): tan N

[tex]\tan N = \frac{Opposite}{Adjacent}[/tex]

[tex]\tan N = \frac{LM}{MN}[/tex]

[tex]\tan N = \frac{8}{6}[/tex]

Simplify

[tex]\tan N = \frac{4}{3}[/tex]

Solving (c): cos L

This calculated as:

[tex]\cos L = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos L = \frac{LM}{LN}[/tex]

[tex]\cos L = \frac{8}{10}[/tex]

Simplify

[tex]\cos L = \frac{4}{5}[/tex]

Solving (d): sin N

This is calculated using:

If [tex]a + b = 90[/tex]

Then: [tex]\sin a = \cos b[/tex]

So:

[tex]\sin N = \cos L[/tex]

[tex]\sin N = \frac{4}{5}[/tex]

Nicholas has a salt shaker in the shape of a cylinder. It has a radius of 8 mm and a height of 30 mm. What is the lateral surface area of the shaker?

Answers

Answer:

1507.96

Step-by-step explanation:

how many 5/8 pound bags does it take to get 16 pounds of soil?

Answers

Answer:

10

Step-by-step explanation:

25.6 bags or 25 3/5 bags




Someone answer this Please

Answers

Answer:

15 miles

Step-by-step explanation:

The Pythagorean theorem states that [tex]a^2+b^2=c^2[/tex] where a and b are the two legs (the sides of the triangle that are adjacent to the right angle) and c is the hypotenuse (the longest side). This only applies to right triangles.

Plug 12 mi and 9 mi into [tex]a^2+b^2=c^2[/tex] as a and b.

[tex]a^2+b^2=c^2\\12^2+9^2=c^2\\144+81=c^2\\225=c^2[/tex]

Take the square root of both sides

[tex]15=c[/tex]

Therefore, the length of the hypotenuse is 15 miles.

I hope this helps!

Help. Please and a few others are

Answers

Answer:

YES ITS MEDIAN!!!

Step-by-step explanation:

Answer:

yes you are correct it is the median.

Step-by-step explanation:

Please answer number 9 I’ll give brainliest thank you!

Answers

Answer:

C (95 people)

Step-by-step explanation:

380 is basically like 100% so 380÷100= 3.8 (which is equal to 1%), then use a calculator to do 3.8x25=95 (this makes 25%)

Answer:

C.95

Step-by-step explanation:

25/100=0.25

380*0.25=95

PLEASE HELP !! ILL GIVE BRAINLIEST !! Ohh

Answers

Answer: Angle VUW and QRP are alternate exterior angles.

They are both exterior and are on alternate sides of the transversal.

Hope this helps!

someone actually help me please :/ I REALLY NEED HELP AND NO ONES HELPING

Answers

Answer:

a) 8 m  

Step-by-step explanation:

a) all sides of a square are equal - there's 4 sides.

4x = 32m

x = 32/4

x = 8 m

i like ur toga pfp besty :)

someone please help me answer this!!

Answers

Answer:

c = 8.4m is the answer.

Step-by-step explanation:

a = 6m

b = 6m

c = ?

According to the Pythagorean theorem,

a² + b² = c²

6² + 6² = c²

36 + 36 = c²

c² = 72

c = 8.4m

∴ The mouse runs 8.4 m from the opposite corners of the room.

Answer:

8.5 m

Step-by-step explanation:

If you draw the segment from one corner to the opposite corner, you'll have the hypotenuse of a triangle with two legs of 6 m. We can find the length of the hypotenuse using the Pythagorean Theorem.

a^2 + b^2 = c^2

6^2 + 6^2 = c^2

36 + 36 = c^2

c^2 = 72

c = sqrt(72)

c = 6sqrt(2) = 8.5

Answer: 8.5 m

12 = 0.005 X W
Solve the equation

Answers

Please mark me brainliest!!!

The answer is W= 2400 bc you have to divide both sides.

Hope this helps!

Answer: look at the picture

Step-by-step explanation: Hope this help :D

PLEASE HURRYYYYYYYYY​

Answers

Answer:

12r ft

Step-by-step explanation:

you're welcome have a nice day

Simplify fully
4x2 + 4x
2x² – 2

Answers

Answer:

4 × 2 = 8 + 4 = 12 × 2 = 24 - 2 = 22

22 is the FINAL answer

#carryonlearning

Which expression has a value of 252?

Answers

Step-by-step explanation:

6^3+6^2=216+36=252

25^2=625

hope that helps :)

Answer:

6^3 + 6^2

Step-by-step explanation:

6^3+6^2=216+36=252

25^2=625

625≠252

Hope this helps =]

A coat cost $37.88 at Walmart. The sales tax is 5.5%. What is the total amount of the coat including the sales tax?​

Answers

$39.96 should be ur answer

Find the value of f(4) for the function

Answers

Answer:

f(4) = 7

Step-by-step explanation:

The notation for these type of problems is very confusing. Just remember that f(x) is the same thing as y (or some variable). Even if there is a number or something on the inside of the parentheses, it's still just a variable.

In our case

f(a) = 2(a + 4) -9

could be rewritten as

y = 2(a + 4) - 9

the thing on the inside of the parentheses signifies what the equation is dependent on.

so when is says f(4), it just want's you to trade out a for a 4, but the equation is still the same.

f(4) = 2((4) + 4) - 9

Now, just follow the order of operations

f(4) = 2(8) - 9

f(4) = 16 - 9

f(4) = 7

Question 5 (2 points)
Given the function rule y = 3x + 11, what is the value of y if x = 27

Answers

Answer: Y=83

Step-by-step explanation:

Answer:

y = 92

Step-by-step explanation:

plug in x = 27 into the equation y = 3x + 11,

y = 3(27) + 11

=> y = 81 + 11

=> y = 92

PLEASE HELP QUICK PLS PLS PLSSSSS

Answers

i think the answer is 265

if $1000 is divided among the three people In the ratio 2:3:5,find the share of each​

Answers

Answer:

$200, $300, $500

Step-by-step explanation:

Given data

Total Amount= $1000

Ratio=  2:3:5

The combined ratio is = 10

Let us apply the part to all method to find the individual amount

The first person will take

10/1000= 2/x

1/100=2/x

cross multiply

x= 200

The second person will take

10/1000= 3/x

1/100=3/x

cross multiply

x= 300

The third person will take

10/1000= 5/x

1/100=5/x

cross multiply

x= 500

WILL GIVE BRAINLIST
What is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15?

Answers

Answer:

y = 3/2x + 3/2

Step-by-step explanation:

perpendicular to: y = -2/3x + 5

so slope of new line must be 3/2

y = mx + b

3 = 1(3/2) + b

6/2 = 3/2 + b

b = 3/2

Marina will attend choir practice for 2-
hours on Saturday, 24 hours on Sunday,
and 3 hours on Monday. Next week,
Marina will attend choir practice for the
same number of hours on Saturday,
Sunday, and Monday.
What is the total number of hours
Marina will have choir practice over
these 6 days?

Answers

Answer:

58

Step-by-step explanation:

1).2+24+3 = 29

2) 29 x 2 = 58

Use the following image to multiply.
5/8 of 4 =

Answers

Answer:

2.5

Step-by-step explanation:

Answer:

[tex]2\frac{1}{2}[/tex] or 2.5

Step-by-step explanation:

[tex]\frac{5}{8}*4\\ \\ =\frac{5}{8}*\frac{4}{1} \\ \\ =\frac{5*4}{8*1} \\ \\ =\frac{20}{8} \\ \\ =\frac{5}{2} \\ \\ =2\frac{1}{2} or 2.5[/tex]

Write an expression for " x divided by nine".

Please help!!

10 POINTS

Answers

Answer:

x/9

Step-by-step explanation:

x divided by 9

=> x ÷ 9

Take that and turn it into a fraction

=> x/9

hope this helps and is right. p.s. i really need brainliest :)

Answer:

45

Step-by-step explanation:

find the diagonal that goes through the 3D shape.

Answers

Answer:

Diagonal = 13 yd

Step-by-step explanation:

The diagonal of the 3D shape can be solved using the extension of the pythagorean theorem, which is given as: d² = a² + b² + c²

Where,

a = 12 yd

b = 3 yd

c = 4 yd

d = diagonal

Plug in the values

d² = 12² + 3² + 4²

d² = 169

d = √169

d = 13 yd

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Find the measure of angle N Help The wings of butterflies and birds are ----------- structures because, although they are used for the same purpose (flight) they have very different structural compositions. Bird wings are made of bones and feathers while butterfly wings are made from chitin and are part of the insects exoskeleton.A) homologous B) analogous C) vestigial ABC Corporation has total assets of 120 million, total liabilities of 80 million, Goodwill of 12 million, and 4 millions of shares outstanding. If you believe the reasonable price to tangible book value should be 1.6 for this company, what is the implied share price of ABC Solve the system of equations. 2y-y=5 and 3x+2y=4 WILL GIVE BRAINLISTWhat is the equation of the line that passes through the point (1, 3) and is perpendicular to the line 2x+3y=15? complete sentences with conjunction of purpose Selected sales and operating data for three divisions of different structural engineering firms are given as follows: Division A Division B Division C Sales $ 5,100,000 $ 9,100,000 $ 8,200,000 Average operating assets $ 1,020,000 $ 2,275,000 $ 1,640,000 Net operating income $ 214,200 $ 746,200 $ 118,900 Minimum required rate of return 17.00 % 32.80 % 14.00 % Required: 1. Compute the return on investment (ROI) for each division using the formula stated in terms of margin and turnover. 2. Compute the residual income (loss) for each division. 3. Assume that each division is presented with an investment opportunity that would yield a 19% rate of return. a. If performance is being measured by ROI, which division or divisions will probably accept or reject the opportunity? b. If performance is being measured by residual income, which division or divisions will probably accept or reject the opportunity Find the value of x. NO ANSWERING WITH LINKHURRY Is this correct???Im really worried this is a test worth 100 points?? Pls help if I made a mistake!!??? Which of the following relationships is most similar to the relationship below?game : play A. trip : vacation B. use : energy C. kind : person D. bike : ride What is an effect of the Spanish arriving in Tenochtitln What is the speed of a car that traveled atotal of 300 kilometers north in 2 hours? Use the following image to multiply.5/8 of 4 = Which solute, an electrolyte or a nonelectrolyte, has the greater effect on the boiling point when a given amount of eachsolute is dissolved in the same mass of water?O The nonelectrolyte does because it disperses into molecules.O The electrolyte does because it disperses into molecules.O The nonelectrolyte does because it dissociates into ions.O The electrolyte does because it dissociates into ions. which do you like more?Neon colorsPastel colorsOstrichesDull colorsDark colors is 0.70 equal to 7/10 what is the surface area? Factory Overhead Volume Variance Dvorak Company produced 5,100 units of product that required 3.5 standard hours per unit. The standard fixed overhead cost per unit is $2.50 per hour at 18,750 hours, which is 100% of normal capacity. Determine the fixed factory overhead volume variance. Enter a favorable variance as a negative number using a minus sign and an unfavorable variance as a positive number. Find the length of the third side. If necessary, write in simplest radical form.(screenshot provided)no links please ;')