Genius question: A long level railway bridge passes over a railroad track, which is 100 feet below it and at right angles to it. If a law-abiding calculus student, one who always travels at the posted speed and who always does his homework, is traveling 45 miles per hour is directly above a train going 60 miles per hour below, how fast will they be separating 10 seconds later

Answers

Answer 1

Answer: 110 feet per second

Step-by-step explanation:

In this problem we will assume that the car at 45 miles per hour is moving into the x direction with a high of 100 feet, and the train is going in the y direction, so they trajectories will made an angle of 90º.

Now we can calculate the speed of the trains in feet per second so:

[tex]S1=\frac{45*5280}{3600}=66[/tex]

[tex]S2=\frac{60*5280}{3600}=88[/tex]

So we can make a right triangle with sides 66 and 88 and the hypotenuse will be the rate that the trains will separate per second so:

[tex]h=\sqrt{66^{2} +88^{2} } =\sqrt{4356+7744}[/tex]

[tex]h=\sqrt{12100}=110[/tex]

Is important to have in mind that the initial high is not going to change how fast the trains will separate, however, if we are going to calculate the distance we should have it in the calculations.

Answer 2

In this exercise we have to use the knowledge about distance to calculate the time that a route with a car will be carried out, in this way we find:

[tex]H= \sqrt{12100}=110[/tex]

In this question we will acquire that the vehicle driven on streets at 45 5 per period exist mobile into the x direction accompanying a extreme of 100 extremities, and the train happen going fashionable the y course, so they course will fashioned an angle of 90º.

[tex]S_1=(45*5280)/3600=66\\S_2=(60*5280)/3600=88[/tex]

So we can curve trio accompanying edge 66 and 88 and the hypotenuse will exist the rate that the trains will separate per second so:

[tex]H=\sqrt{(66^2+88^2}=\sqrt{(4356+7744} \\=110[/tex]

See more about distance at brainly.com/question/989117


Related Questions

PLEASE HELP ASAPPP!!

Answers

Answer:

34

Step-by-step explanation:

im pretty sure its 34.

vertical angles are basically angles from the opposite side of each other, so saying that one of the angles is 68 degrees and they're vertical angles, means that the other unknown angle is 68 degrees.

but in this case it'll be 34 since ur multiplying 2 with 34

2(34) = 68

i hope this helped

The population of a certain town is known to increase at a rate proportional to the current population. If the population doubles every 15 years, and the current population is 32,000, then what will be the population in 11 years g

Answers

Answer:

The population in 11 years will be of 53,199.

Step-by-step explanation:

Equation for a population that doubles every n years.

The population of an specie, after t years, considering that is doubles after n years, is given by an equation in the following format:

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

In which P(0) is the initial population.

The population doubles every 15 years, and the current population is 32,000

This means that [tex]n = 15, P(0) = 32000[/tex]. So

[tex]P(t) = P(0)(2)^{\frac{t}{n}}[/tex]

[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]

What will be the population in 11 years?

This is P(11). So

[tex]P(t) = 32000(2)^{\frac{t}{15}}[/tex]

[tex]P(11) = 32000(2)^{\frac{11}{15}}[/tex]

[tex]P(11) = 53199[/tex]

The population in 11 years will be of 53,199.

A cylinder has a height of 10 millimeters and a radius of 3 millimeters. What is its volume?
Use - 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

18312.5mm³

Step-by-step explanation:

Given parameters:

Height of cylinder  = 18mm

radius  = 18mm

Unknown:

Volume of the cylinder = ?

Solution:

The volume of cylinder is given as;

 Volume  = π r ² h

Insert the given parameters and solve;

 Volume  = 3.14 x 18² x 18

 Volume  = 18312.5mm³

Answer:

282.6

Step-by-step explanation:

volume= h*(pie*r^2)

3*3=9

9*pie=28.26

10*28.6=282.6

Two figures have a similarity ratio of 3 : 7. If the area of the larger figure is 294 cm2, which is the area of the smaller figure?

Answers

Answer:

The area of the smaller figure is 126 cm^2.

Step-by-step explanation:

3:7 ratio

Divide 294 by larger ratio.

294/7 = 42

Multiply 42 by the smaller ratio.

42 x 3 = 126

Tina's user ID is a 5-digit number.
• 9 is in the ten thousands place.
• The digit in the ones place is two less than the digit in ten thousand place.
• Digit in the thousands place is one less than digit in ten thousand place.
• 4 is in the tens place.
• Digit in the hundreds place is the number of sense organs.
What is Sara’s user ID number? _____________

Answers

Answer:

98547

Step-by-step explanation:

Robin has colored pants in a drawer that she wears for work. She has the following pants:

6 red pants
9 yellow pants
8 blue pants
2 orange pants
If Robin picks a pair of pants from the drawer without looking, the probability that she will pick a red or yellow pair of pants is

i need help asap pls anyone i will be so thankful

Answers

Answer:

3/5 times or 60%

Step-by-step explanation:

Answer:

3/5 or 60%

Step-by-step explanation:

The total amount of pants are 6 + 9 + 8 + 2 = 25. The amount that are red or yellow are 9 + 6 = 15. The probability is 15/25, or 3/5, or 60%

may you help me with this question?

Answers

Step-by-step explanation:

OK so add the 66 and the square=90, so add 66 and 90 then subtract it from 180 and then you will get x

Step-by-step explanation:

On April 30, 1789, George Washington, standing on the balcony of Federal Hall on Wall Street in New York, took his oath of office as the first President of the United States.Examples of magnetic force is a compass, a motor, the magnets that hold stuff on the refrigerator, train tracks, and new roller coasters. All moving charges give rise to a magnetic field and the charges that move through its regions, experience a force.

Express the given repeating decimal as a quotient of integers. If possible, reduce to lowest terms.

Answers

Answer:

4

Step-by-step explanation:

11. How can you solve the system? Complete the
sentence
(3x + 3y = 9
-6x – 4y = -14
Multiply 3x + 3y = 9 by ?and add
it to -6x – 4y = -14.
X Х

Answers

Answer:

Multiply by 2.

Step-by-step explanation:

Given the following simultaneous equations;

3x + 3y = 9 ......equation 1

-6x – 4y = -14 ......equation 2

To solve the equation by elimination, we would multiply eqn 1 by 2;

6x + 6y = 18

-6x – 4y = -14

Adding them together, we have;

0x + 2y = 4

2y = 4

y = 4/2

y = 2

To find the value of x;

3x + 3y = 9

3x + 3(2) = 9

3x + 6 = 9

3x = 9 - 6

3x = 3

x = 3/3

x = 1

Therefore, to solve the system of equations, you will multiply 3x + 3y = 9 by 2 and add it to -6x – 4y = -14.

3 to the fourth power +9

Answers

Answer:

81

Step-by-step explanation:

3*3=9

9*3=27

27*3=81

Answer:  90

Step-by-step explanation:

3 to the fourth power =  81

81 + 9 = 90


PLEASE HELP ME ASP !!!

Answers

Answer:

x=11

Step-by-step explanation:

22*y=32

y=16/11

So,

x*16/11=16

x=11

Answer:A

Step-by-step explanation:

The table shows the number of miles driven and the number of gas used in 4 cars.Which car drives the most miles per gallon of gas

Answers

Answer:

Car C

Step-by-step explanation:

Miles per gallon = miles traveled / gallon of gas used

Miles per gallon :

Car A = 19 / 1 = 19 miles per gallon

Car B = 39 / 3 = 13 miles per gallon

Car C = 42 / 2 = 21 miles per gallon

Car D = 48 / 3 = 16 miles per gallon

Car with most miles per gallon is car C

find the radius of a circle if the circumference is 66cm​

Answers

Answer:

Approximately 10.5, or 10.5095541.

Step-by-step explanation:

To find the radius given the circumference of a circle, we first have to divide the circumference by pi, or an estimation of 3.14. This will give us the diameter.

Since we know that the radius of a circle is simply half the diameter, we divide the number we got from the problem above by 2. This will give you your answer!

Answer:

r = 10.50

Step-by-step explanation:

Circumference =

[tex]2\pi \: r[/tex]

[tex] 66 = 2\pi \: r[/tex]

[tex] \frac{66}{2\pi} = r[/tex]

r = 10.5

what degree of rotation about the origin will cause the triangle below to map onto itslef

Answers

Answer:

[tex]360^o[/tex]

Step-by-step explanation:

Given

The attached plot

Required

Which degree maps the triangle onto itself

The degrees that can map a point, line, or shape onto itself are:

[tex]\theta=360,720,1080,1440, 1800, 2160, 2520, 2880, 3240, 3600[/tex]

i.e. multiples of 360

Looking at the given options

[tex](a)\ 360^o[/tex] is correct because it can be found in the listed multiples

In other words, it will map point [tex](x,y)[/tex] to point [tex](x,y)[/tex]

Find 35% of a number is 70 find the number

Answers

Answer:

200.

Step-by-step explanation:

35% = 0.35 so

0.35x = 70

x = 70 / 0.35

= 200.

Answer:

200

Step-by-step explanation:

Let the number = x

35% of x = 70

35/100 * x = 70                      Multiply by 100

35x = 70 * 100

35x = 7000                           Divide by 35

x = 7000/35

x = 200

Pleaseeeee help me with this question

Answers

Answer= Pedro pony time to eat Pepasin Englan

(3)^4 times (3)^3 simplified version using exponents

Answers

Answer:

I'm pretty sure your answer is [tex]3^1^1[/tex]

Step-by-step explanation:

Calculate the average rate of change in the amount of the surcharge for non-account holders between 2004 and 2008. Write the result in a sentence of interpretation. (Round your answer to two decimal places.)

Answers

Answer:

The average rate of change in the amount of the surcharge for non-account holders between 2004 and 2008 is $0.08

Step-by-step explanation:

Given

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]3 \le t \le 13[/tex]

[tex]t \to[/tex] years since 2001

Required

Average rate of change between 2004 and 2008

In 2004,

[tex]t = 2004 - 2001[/tex]

[tex]t =3[/tex]

So:

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]s(3) = 0.72 * 1.081^3[/tex]

[tex]s(3) = 0.9095[/tex]

In 2008,

[tex]t = 2008 - 2001[/tex]

[tex]t = 7[/tex]

So:

[tex]s(t) = 0.72 * 1.081^t[/tex]

[tex]s(7) = 0.72 * 1.081^7[/tex]

[tex]s(7) = 1.2420[/tex]

The average rate of change (m) is calculated as:

[tex]m = \frac{s(a) - s(b)}{a - b}[/tex]

In this case:

[tex](a,b) = (3,7)[/tex]

So, we have:

[tex]m = \frac{s(3) - s(7)}{3 - 7}[/tex]

[tex]m = \frac{s(3) - s(7)}{-4}[/tex]

Substitute values for s(3) and s(7)

[tex]m = \frac{0.9095 - 1.2420}{-4}[/tex]

[tex]m = \frac{-0.3325}{-4}[/tex]

[tex]m = 0.083125[/tex]

[tex]m = 0.08[/tex]  --- approximated

It is well known that steroid usage is banned in athletes. As a result, athletes are randomly tested. The steroid test procedures are believed to be equally effective on both steroid users as well as non-steroid users. The effective rate is 98%. Assume 90% of the athletes are clean (not steroid users). Suppose an athlete is tested as a steroid user (and thus could be disqualified from the Summer Olympics games), what is the probability that the athlete is actually clean (i.e., not a steroid user)

Answers

Answer:

18% that the athlete is disqualified but is actually clean

Step-by-step explanation:

In order to find the probability of two events happening together, in this case the athlete being disqualified and being clean, we need to multiply the probabilities. So,

It is a 90% chance that the athlete is clean and a 2% chance that the test fails so multiply the two

.9 * .2 = .18

This means that it is an 18% chance that the athlete is clean but is still disqualified.

increase 21 kobo by 35%​

Answers

Answer:

28.35

Step-by-step explanation:

you can use mathswatch or hegarty maths to help u

15,60,240,... Find the 6th term .

Answers

Answer:

61440

Step-by-step explanation:

15 x 4= 60

60 x 4= 240

240 x 4= 960

960 x 4= 3840

3840 x 4 = 15360

15360 x 4= 61440

The 6th term = 15360.

What is  multiplication?

In mathematics, multiplication is a method of finding the product of two or more numbers. It is one of the basic arithmetic operations, that we use in everyday life.

here, we have,

the given sequence 15,60,240,...

1st trem = 15

common ratio = 4

so, 6th term = 15*  4^5

                   =15360

hence, The 6th term = 15360.

To learn more on multiplication click:

brainly.com/question/5992872

#SPJ2

i know the answer but i need a thorough explanation on how to do this. pls answer the questions i have for brainliest thank you

Answers

Answer:

i think because it's powered by 4

(27x^3)^4/3 = 27^(4/3) * (x^3)^(4/3) =
(3^3)^(4/3) * (x^3)^(4/3) =
3^(3*4/3) * x^(3*4/3) =
3^4 * x^4 =
81*x^4

Amy runs 10 miles in 85 minutes. At the same rate, how many minutes would she take to run 8 miles?

Answers

9514 1404 393

Answer:

  68 minutes

Step-by-step explanation:

At the same rate, she will run 8/10 of the distance in 8/10 of the time.

  (8/10)(85 minutes) = 68 minutes

It would take Amy 68 minutes to run 8 miles.

The question is in the picture (:

Answers

Answer:

[tex] \frac{(x - 2)(x + 2)}{x - 8} [/tex]

That’s answer is correct

in 2007 the poverty threshold for a family of four two of whom were related children was $21027 at the same time the poverty threshold for a family of four three of whom were related children was 21100 for each of the preceding years the difference between these two thresholds was less than $100 what is the conclusion you can draw from this

Answers

Answer:

MINIMUM WAGE does not increase much over time

Step-by-step explanation:

Based on the information given the conclusion you can draw from this is that MINIMUM WAGE DOES NOT INCREASE OR TEND TO GO UP MUCH OVER TIME Since the MINIMUM WAGES of the poverty threshold of whom TWO were related children was the amount of $21,027 and the poverty threshold of whom THREE were related children was the amount of $21,100 indicating that the minimum wages only increase from $21,027 to $21,100 given us the amount of $73 ($21,027 -$21,100) which is less than the amount of $100 as the difference between these TWO THRESHOLDS for each of the preceeding year.

7th grade math help :)​

Answers

70

One McDonald’s drink is $10
The burger is $5
The fries are $2
5+2 = 7x10 = 70
If the drinks time 3 equal 30 they equal 10 individually then is you put the drink plus the burgers the burgers equal 5 individually then the burger plus fries together equal 9 so the fries equal 2 individually so 10+5+2 is our formula and the answer is 17!

How much would you have to deposit today to have an accumulated amount of 20,000 in 20 years if yearly interest is 4.75% compounded continuously?

Answers

here u go!! I hoped it helped

PLEASE HELP! 30 POINT!!!

What is the value of y when x = 3 in this equation
Y = 2x + 2

Answer:
5
7
8
12

Answers

Answer:

Step-by-step explanation:

8

Came someone help me answer this one?

Answers

Answer:

Let x = ducks

Let y = goats

Equation 1: x+y=38

Equation 2: 2x+4y=90

Step-by-step explanation: (Work)

The question says two kinds of animals, so let x be "ducks" and y be "goats."

Number one equation: x+y=38

Number two equation: 2x+4y=90

Explanation:

The x+y=38 represents how many animals there will be if you add both the ducks and goats.

The 2x+4y=90 represents the legs of the animals, the 2x represents the 2 legs of the ducks and the 4y represents the 4 legs of the goats.

A dozen apples costs $2.35. At this rate, how much would 5 apples cost?

Answers

Answer:

0.95 is your answer

Step-by-step explanation:

Answer:

$.98

Step-by-step explanation:

so if a dozen apples cost $2.35 that can be represented by the equation 12x=2.35

so solve that for x because that is the price of a single apple

so then if you just leave it because it is a weird decimal then x times 5(to figure out how much 5 apples cost) is

(2.35/12) * 5 = 47/48 or about $.98

so five apples cost $.98

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