GIVING BRAINLIEST easy question
A bridge is 10 m above a railroad track and at right angles to it. A train is running at the rate of 20 m/s passes under the center of the bridge at the same instant that a car running 15 m/s reaches that point. How rapidly are they separating 3 seconds later?

Answers

Answer 1
Taking the point directly under the center of the bridge as the origin,
x = 20t, y = 15t, z = 10
let s be thedistance between them at time t,
s^2 = (20t)^2 + (15t)^2 + 10^2 = 625t^2 + 100
2s ds/dt = 1250t
ds/dt = 625t/s

when t = 3, s = √(625*9+100) = 75.6637
ds/dt = 625*3/75.6637 = 24.78 m/s
Answer 2

The time taken that should be rapidly are distinct 3 seconds later should be considered as 24.78 m/s.

Calculation of the time taken:

Here the point should be considered directly under the center of the bridge as the origin

Here

x = 20t, y = 15t, z = 10

let us assume s be the distance between them at time t,

So it be like

[tex]s^2 = (20t)^2 + (15t)^2 + 10^2 = 625t^2 + 100[/tex]

2s ds/dt = 1250t

ds/dt = 625t/s

Now at the time when

t = 3,

[tex]s = \sqrt (625*9+100)[/tex] = 75.6637

So,

ds/dt = [tex]625*3/75.6637[/tex] = 24.78 m/s

Learn more about time here: https://brainly.com/question/11325462


Related Questions

Help me plz!!!!!!!!!!!

Answers

Answer:

40 in^3

Step-by-step explanation:

5 x 4 x 2 = 20 x 2 = 40

Question 1
Simplify: f (2) +49 (3)

Answers

2f+147
-
All you have to do is simplify each term.

Use the distributive property
write an equivalent expression.
2x6 + 2x9 =

Answers

12+18= 30! 30 is the answer bud!
12+18=30. I really hope this help

McKenzie sells textbooks. She receives 7% on her first $1,000 in sales and 15% on the balance of her sales. If her sales in one month were $14,500. How much did she earn in total commissions?

Answers

Answer:

She earns $2,025 in commissions.

Answer:

★ The answer is she EARNED $2,025 in TOTAL commissions.

Step-by-step explanation:

Hope you have a great day

Solve for the last missing side any way you'd like.

55°
10
35°
8.2

Answers

Answer:

12.2

Step-by-step explanation:

Let C be the last angle c + 55° + 35° = 180° (sum of angles in a triangle)

C + 90° = 180°

C = 180° - 90°

C = 90°

Let c be the last side

Using the sine rule a/sinA = b/sinB = c/sinC

Using any of the other two sides,

10/sin55° = c/sin90°

c = 10/sin55° × sin90°

c = 10/0.8192 × 1

c = 12.21

c ≅ 12.2

10. What is the value of the function f(x) = 7x when x = 0.75 ?

Answers

Answer:

7(0.75) = 5.25

f = 7

Step-by-step explanation:

The first three terms of a sequence are given. Round to the nearest
thousandth (if necessary).
12, 15, 18, ...
Find the 32nd term.
Answer:
Submit Answer

Answers

Answer:

the answer is 183

Step-by-step explanation:

Answer: 105

Step-by-step explanation:

The high temperature today is 80 degrees. If the high temperature tomorrow is supposed to
be 5% lower than the high today, what is the high temperature tomorrow supposed to be?
(SHOW WORK)

Answers

Answer:

76

Step-by-step explanation:

80 x 0.05 = 4

80 - 4 = 76

find the common factor and least first 3 possible multitiple of each number using any of the method 25and 75
35and 45
21and 56
54and 72
27and 36
12and 16​

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

The greatest common factor (divisor) is found in the GCD column of the attached spreadsheet. The GCD is calculated using the spreadsheet function. The least common multiple (LCM) is the product of the numbers, divided by their GCD.

Other multiples shown are 2 times, 3 times, and 4 times the least common multiple.

PLEASE THIS IS A MAPS TEST I NEED HELP What is the best estimate for the value of 29?
A. 2.9
B. 5.4
O C. 7.3
D. 9.7
O E. 14,5

Answers

ion know this one but go for A. cause 29 as a decimal is 2.9

Answer:

O E.14,5

Step-by-step explanation:

It is the closest answer that it gives to 29

Verified by FaZe DoDo

Sixteen times a number x is less than -2.

Answers

Answer:

16x<-2

Step-by-step explanation:

What are the dimensions of a parallelogram if the area of the parallelogram is 435 square feet? Also find the perimeter of the parallelogram.
Please tell me the answer and explanation because I dont understand and have exams next week.

Answers

Answer:

You deleted my answer, but let me tell you something I BROUGHT IT BACK ()ITCH!!!!

Step-by-step explanation:

I DID THIS FOR POINTS!!!

I DID THIS FOR POINTS!!

I DID THIS FOR POINTS!!!!!!!!

I need help with
(−9)(−13)

Answers

Answer:

(−9)(−13)= 117

Step-by-step explanation:

Answer:127

Step-by-step explanation:cancel minus with minus and then multiply

Solve for t in terms of the other variables.
k= 3tm + rs

Answers

Answer:

              [tex]t=\dfrac{k-rs}{3m}[/tex]

Step-by-step explanation:

It's like solving any equation, except we have letters instead of numbers .

k = 3tm + rs           {subtract rs from both sides}

k - rs = 3tm            {divide both sides by (3m)}

[tex]\dfrac{k-rs}{3m}=t[/tex]              {swap sides}

[tex]t=\dfrac{k-rs}{3m}[/tex]            m≠0    

{m must be ≠0 because  you cannot divide by 0. There is no t for m=0}    

How do you do this ?

Answers

Answer:

fourth option

Step-by-step explanation:

A translation of 6 units right ( positive x- direction ) means add 6 to the original x- coordinate.

A translation of 2 units down ( negative y- direction ) means subtract 2 from the original y- coordinate.

Thus the translation rule is

(x, y ) → (x + 6, y - 2 )

Use the distributive property to write an equivalent expression.
3(10f+8g-2)

Answers

30f+24g-6 because you distribute

Answer:

30fg+24g-6

Step-by-step explanation:

All you got to do is distibute

6. What is the vertex of the graph of y = x2 – 8x + 6
(Hint: use x = - to find the AOS)
b
2a
Show work

Answers

Answer:

[tex] \boxed {( 4, - 10)}[/tex]

Step-by-step explanation:

[tex]y = {x}^{2} - 8x + 6[/tex]

Here are some formulas that you might need.

[tex]h = - \frac{b}{2a} \\ k = \frac{4ac - {b}^{2} }{4a} [/tex]

The vertex of graph is at (h, k) from the vertex form.

[tex]x = h \\ y = k[/tex]

Substitute in the formula.

[tex]h = - \frac{( - 8)}{2(1)} \\ h = \frac{8}{2} \\ h = 4[/tex]

Next we find the value of k.

[tex]k = \frac{4(1)(6) - {( - 8)}^{2} }{4(1)} \\ k = \frac{24 - 64}{4} \\ k = \frac{ - 40}{4} \\ k = - 10[/tex]

Therefore the vertex is (4,-10).

Simplify
(x + 3)^8
(x + 3)^5

Answers

Answer:

Step-by-step explanation:

This question is the same as x^8 + 3^8

X^5 + 3^5

It will look like this, x×x×x×x×x×x×x×x + 3×3×3×3×3×3×3×3 all over x×x×x×x×x + 3×3×3×3×3

Your final answer becomes x^3 + 3^3

Good luck

Simplify the expression:



7x + 3y + 2z

Answers

Answer:

its already simplified as it doesn't have any common letters

What is the awnser? Like where do I plot them??

Answers

This is closest to your problem

Solve forx:
*
7(x + 5) = -35
O
x = -10
x = 5
O x = -5
X = 0

Answers

Answer: x = -10

Step-by-step explanation:

7 (x + 5) = -35

Distribute 7 to x + 5

7 * x = 7x

7 × 5= 35

7x + 35 = -35

Subtract both sides by 35

7x = - 70

Divide both sides by 7

x = -10

Hope I helped!

Evelyn would like to run at least 12 miles in practice this week. How many more miles will she need to run this week than last week to run 12 miles?

Answers

how many miles had she already ran?

Answer:

0.25

Step-by-step explanation:

She already ran 11.75 miles last week

If the original quantity is 15 and the new quantity is 18​, what is the percent​ increase?

Answers

It is a 120% increase
Hope this will help you!
Have a nice day!

The product of three-fourths of a number and 7 is one-half of 672.​

Answers

Answer:

n=64

Step-by-step explanation:

3/4(n)*7=1/2(672)

21 /4 n=336

n=64

List all the common multiples of 9,12 and 15 between 1 and 100

Answers

Answer:

There is no common multiple of 9, 12 and 15 between 1 and 100

Step-by-step explanation:

The common multiples of 9, 12 and 15 between 1 and 100

Fist the lowest common multiple

9 = 3 * 3

12 = 3 * 4

15 = 3 * 5

Hence the lowest common multiple

= 3 * 3 * 4 * 5

= 180

Since the lowest common multiple of 9, 12 and 15 is greater than 100, it means that there is no common multiple of these numbers between 1 and 100

Write a fraction that is equivalent to 7 divided by 13

Answers

Answer:

14/26

Step-by-step explanation:

a fraction that is equivalent to 7/13 is 14/26 because to make the fraction equivalent the numerator and denominator have to be multiplied by the same number so another fraction that would be equivalent would be 21/39

i hope this helps

Write the equation of the line the passes through (1, -2) and (3, 4) in slope intercept form.​

Answers

Answer:

y=3x-5

Step-by-step explanation:

First find the slope, 4+2 over 3-1, giving you the slope of three

then set up your equation, y=3x+?

I played with the y=3x - part on the website desmos graphing calculator, I first inserted the points then found the slope and then played with the equation till it went through both the points.

If 6x − 8 = 26 , what is the value of 3x − 4 ?

Answers

Answer:

I'm pretty sure it's 32.

Step-by-step explanation:

8+6=14

26-14=12

x=12

If x is equivalent to 12 then your new equation is 3*12-4 which equals 32.

Write two equivalent ratios for 1/4

Answers

2/8, 3/12, 4/16 that the equivalent ratios to 1/4

An electrician has 3 7/10 cm of wire. He needs only 2 5/8 cm
of wire for a job. How much wire does he need to cut?

Answers

Answer:

The answer can either be 2 5/8 cm in terms of grammar but because it is a mathematics question you will have to subtract the fractions giving us 1 3/40 cm

Step-by-step explanation:

3 7/10 - 2 5/8

subtract the whole numbers and find the LCM of the fractions which is 40

=1 (( 28-25)/40)

=1 3/40cm

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