A piece of land is shaped like a right triangle. Two people start at the right angle at the same time, and walk at the same speed along different legs of the triangle while spraying the land. If the area covered is changing at
5 m2/s, how fast are the people moving when they are 5 m from the right angle? (Round approximations to two decimal places.)

Answers

Answer 1

Answer:

1 m/s

Step-by-step explanation:

the area of the triangle = A = ¹/₂ab

where a is the distance covered by the first person and b is the distance covered by the second person. since they walk at the same speed, then a = b, so our formula can be changed to A = ¹/₂x²

now we find the derivative of both sides:

dA/dt = ¹/₂ ⋅ dx²/dt

dA/dt = ¹/₂ ⋅ 2x ⋅ dx/dt

dA/dt = x ⋅ dx/dt = x ⋅ velocity

we are told that x = 5 m, and dA/dt = 5 m²/s

velocity = dA/dt / x

velocity = 5 m²/s / 5 m = 1 m/s


Related Questions

If 9 (x) = – 5x2 – 4x + 19 find f (–3)

Answers

Answer:

- 14

Step-by-step explanation:

[tex]f(x) = - 5 {x}^{2} - 4x + 19 \\ plug \: x = - 3 \\ f( - 3) = - 5 {( - 3)}^{2} - 4( - 3) + 19 \\ f( - 3) = - 5 \times 9 + 12 + 19 \\ f( - 3) = - 45 + 31 \\ f( - 3) = -14[/tex]

Name 4 noncoplanar points.

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Answer:

RPVN

Step-by-step explanation:BRBR

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Answers

Answer:

( − 7 , − 2 ) , ( − 3 , 0 ) , ( 1, 2 ) , ( 5 , 4 ) , ( 7 , 5 )

From: iOE Your friend

:D :) *Be awesome.Be You*

Please help with my music math

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true
false
false
true
true
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Help solve step by step please? 3/7➗4/5=

Answers

Answer:

15/28

Step-by-step explanation:

Step-by-step explanation:

3/7 divided by 4/5

Find the reciprocal of 4/5 which is 5/4

Multiply 3/7 by 5/4

3*5= 15 which is the numerator

7*4=28 which is the denominator

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Answers

Answer: Yes She is correct

Step-by-step explanation:

A ____ is written as an if-then statement A.conjecture B.counterexample C.conditional D.negation​

Answers

Answer: C

Definition of a conditional:

A conditional statement is a statement that can be written in the form “If P then Q,” where P and Q are sentences. For this conditional statement, P is called the hypothesis and Q is called the conclusion. Intuitively, “If P then Q” means that Q must be true whenever P is true.

Cheri paid $6.50 for the bunch of grapes with the weight of 2.5 pounds. What is the price per pound?

Answers

It would be $2.6 (or $2.60) per pound.

An executive committee consists of 15 members: 7 men & 8 women. 5 members are selected at random to attend a meeting in Hawaii. The names are drawn from a hat. What’s the probability that all 5 selected are women?

Answers

Answer:

1.8%

Step-by-step explanation:

(8c5 * 7c0)/15c5

= 0.018

This is the answer which I get when I solve this... cross check the calculations once.

a. {1, 2, 3, 4, 5} = {x | x E N and x < 5}

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Answers

Answer:

true

i just anwwsered this one in my lessons

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x+y > 3
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Answers

Answer:2,2

Step-by-step explanation:

I guess

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Answers

Answer:

[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h[/tex]

Step-by-step explanation:

Divide V by everything you don't need on the right side.

So, You should end up with

[tex]\frac{v}{\frac{1}{3}\pi^{2}}=h\\[/tex]

Write a ratio for the following description: Kaleel made three times as many baskets as John during a basketball practice.

Answers

Answer:

3:1

Step-by-step explanation:

If John makes 3, Then Kaleel makes 9,  If John makes 1, Then Kaleel makes 3.

Can anybody please help me out with this problem I would really appreciate it so much . Please and thank you

Answers

"Supplementary" angles add up to 180°.

Opposite angles are supplementary, so . . .

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Clear the parentheses:  12x - 4 + 19x - 2 = 180°

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Add up the plain old numbers on the left side:  31x - 6  =  180°

Add  6  to each side:  31x  =  186°

Divide each side by  31 :  x  =  6°

Well !  Now that you know that  x = 6° . . .

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Answers

Answer:

a=12

Step-by-step explanation:

[tex]3a-2a+4=16\\\\(3a-2a)+4=16\\\\(3-2)a+4=16\\\\1a+4=16\\\\a+4-4=16-4\\\\a=12[/tex]

Solve for g.

C=1/2gq

Answers

Answer:

[tex] g = \frac{2c}{q}[/tex]

Step-by-step explanation:

[tex]c = \frac{1}{2} gq \\ 2c = gq \\ \huge \red{ \boxed{ g = \frac{2c}{q} }}[/tex]

Answer:

g = 2C/q

Step-by-step explanation:

C * (2) = 1/2gq * (2)  

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Answers

Answer:

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Step-by-step explanation:

[tex]13 +\frac{k}{3} =11[/tex]

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Answers

This Answer Is : True.

Answer:

true

Step-by-step explanation:

a mixed number can have the same value as an improper fraction but never as an proper fraction

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Answers

The first term is two.
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Answers

Answer:

No Solution

Step-by-step explanation:

When we solve linear inequalities using any one the methods such as

1) Elimination  or

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-2 0
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H Н
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Answers

Answer:

7

Step-by-step explanation:

$20,000 was invested in a 3-year simple interest money market account. After 3 years,
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What was the interest rate for the account?

Answers

Step-by-step explanation:

Amount = principal + S. I.

S. I. = p * t * r / 100

32000 = 20000 + 20000 * 3 * r / 100

12000 = 600 r

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Answers

Similar triangles have a scale factor that determine the length of each side.

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Answer:

18.75 sq.feet

Step-by-step explanation:

According to the question

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

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Answers

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Answers

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