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

Here is the question 20 points and brainlest but I want a detailed answer​

Answers

Answer:

18.75 sq.feet

Step-by-step explanation:

According to the question

1 card = 18 sq.in

150 cards = 150 * 18

                =  2700 sq.in

                = 18.75 sq.feet

7/8 divided by 6 help me NOW please

Answers

I think is 0.14583 but I’m not sure

Answer:

0.14583333333

Step-by-step explanation:

0.14583333333

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.

which ordered pair is not a solution to this system?
x+y > 3
x + 2y > 5

Answers

Answer:2,2

Step-by-step explanation:

I guess

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)  

2C / q= gq / q

2C/q = g

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

True or False

Answers

Answer:

true

i just anwwsered this one in my lessons

(7x+40)+(6x+43)=180 x? Z?

Answers

[tex](7x + 40) + (6x + 43) = 180\\7x + 40 + 6x + 43 = 180\\7x + 6x = 180 - 40 - 43\\13x = 97\\x = \frac{97}{13}[/tex]

I'm not sure what you mean by Z but x is [tex]\frac{97}{13}[/tex]

Find the unknown length y in the pair of similar triangles.

Answers

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

15 / 7.5 = 2

The scale factor = 2

17 / 2 = 8.5

y = 8.5

In an arithmetic progession T7 =20 and T13 =38,. Find the first term and the common difference. ​

Answers

The first term is two.
The common difference is three. Hope this helps!

$20,000 was invested in a 3-year simple interest money market account. After 3 years,
the account balance was $32,000.
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

r ( Rate of interest) = 20 %

A mixed number can have the same value as an improper fraction. True False​

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

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.

What is the length of EF?
6 units
10
8 units
7 units
10%
-2 0
-2-
2 units
H Н
-4
G
-6
-B
10

Answers

Answer:

7

Step-by-step explanation:

Bentley signed up for a streaming music service that costs $13 per month. The service allows Bentley to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.75 per song. How much total money would Bentley have to pay in a month in which he downloaded 10 songs? How much would he have to pay if he downloaded s songs

Answers

Answer:

multiply 0.75 × 10 = 7..50

AHHHH please help answer and I’ll give you points

Answers

Answer: Yes She is correct

Step-by-step explanation:

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 . . .

(12x - 4) + (19x - 2)  =  180°

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

Add up all the x's on the left side:  31x - 4 - 2  =  180°

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° . . .

Angle  EPC  is  (12x - 4)°

That's  (12·6  -  4)°

Which is  (72 - 4)°

Which is  68°

3a − 2a + 4 = 16 Solve for a.

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]

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]

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

so the final answer is 15/28

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.

Find the inverse of s.
= {(-2, -7), (0, -3), (2, 1), (4, 5), (5, 7)}

Answers

Answer:

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

From: iOE Your friend

:D :) *Be awesome.Be You*

Of 150 goldfish in the fish pound, 27 are red. What percentage of goldfish are red?

Answers

To get the percent, divide 27 by 150 then multiply the quotient by 100.

(27 / 150) * 100 = 18%

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.

4x + y = 2
I need to solve the literal equation for y.

Answers

Answer: y=2−4x

Step-by-step explanation:

When solving for y in this problem(4x+y=2) we need to get y by itself in the equation. To do this we need to move 4x over to the right side of the equation. To do this we subtract, 4x from both sides of the equation.

V=1/3(pie)r(squared)h Need to isolate h.

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]

. When the process of solving a linear inequality results in the variable being eliminated with a false statement remaining, what does this mean about the solution set of the inequality?

Answers

Answer:

No Solution

Step-by-step explanation:

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

1) Elimination  or

2) Substitution

And we get  the variable eliminated with a false statement remaining, this means there is no solution.

In other words the solution does not exist or the solution is not possible in the given range or the values given are false.

But when the values are true we get a solution for the variable solved.

In the elimination method we eliminate the same terms by addition or subtraction after making them equal.

And the substitution method requires putting the values of one variable in place of another.

What is the property of (4y + 1) x 0 =0

Answers

Answer: Zero Property

Step-by-step explanation:

Name 4 noncoplanar points.

Answers

Answer:

RPVN

Step-by-step explanation:BRBR

please help me and also show work plz​

Answers

Answer:

[tex]\boxed{k = -6}[/tex]

Step-by-step explanation:

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

→ Multiply everything by 3

[tex]39 + k = 33[/tex]

→ Minus 39 from both sides to isolate k

[tex]k = -6[/tex]

Please help with my music math

Answers

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false
false
true
true
false
true
false
false
true
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