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 x is 6, then 7x =

Answers

Answer:

42

Step-by-step explanation:

Answer:

42 is the answer because 7*6

Name the property for the given statement 2(10 + 15) = 2(10) + 2(15)

Answers

Distributive property

plzzzzzz helpppppp meeeeee​

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c you can find the decimal value for these type of questions in future

PLEASE HELP WILL MAKE BRAINLIEST
Complete the table below to show the number of rods in staircase frames with different number of steps

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4: 28, 5: 40, 6: 54, 7: 70

Five less than one half of a number is 18.

Answers

Answer:

x/2 - 5 = 18

Step-by-step explanation:

Determine the table of values for these simultaneous equations.

5 x + y = 7

3 x - y = 1

Answers

Step-by-step explanation:

5x + y = 7 ...1

3x - y = 1 ...2

...1 + ...2

5x + y + 3x - y = 7 + 1

8x = 8

x = 8/8

x = 1

please help meeeeeeeee​

Answers

Answer:

2 4/5 and 3 2/3

Step-by-step explanation:

find how many times the denominator can go into the numerator the left over numbers are now your second part of the fraction going with the whole number

There are 48 empty seats and 52 occupied seats on an airplane. What is the ratio of the number of empty seats to the number of occupied seats?

Answers

Answer:

48/52

Step-by-step explanation:

The balanced scale represents the equation: 4x + 2 = x + 5

If one x block is subtracted from the right side and two numbered blocks are subtracted from the left side. What process will balance the scale?

Answers

Answer: D) subtract one x block from the left side and subtract two numbered blocks from the right side

Step-by-step explanation:

which statement is true about this equation?
y = -3x^2 + 4x - 11

a) it represents a function only
b) it represents a relation only
c) it represents both a relation and a function
d) it represents neither a relation nor not function ​

Answers

Answer:

C

Step-by-step explanation:

it represents both a relation and a function

Answer:

The correct answer is C. It represents both a relation and a function.

Step-by-step explanation:

I got it right on the Edmentum test.

Solve
-6y + 4 = |4y + 12|

Answers

Answer:

[tex]y = - \frac{4}{5} [/tex]

after measurements or observation are made in a scientific investigation. it is most appropriate to what?​

Answers

Answer:

Once you collect your measurements, the next step would be to analyze them to see if they support your hypothesis or not.

If you find your predictions to be inaccurate and your hypothesis was not supported, go back, make another hypothesis and redo the experiment.

he grocery store has bulk pecans on sale, which is great since you're planning on making 5 pecan pies for a wedding. How many pounds of pecans should you buy? First, determine what information you need to answer this question, then click here to display that info (along with other info). You will need to buy pounds of pecans.

Answers

You Need to Find out how much Pecans each pie Will need

I need help and can u explain how to do it please and thank u

Answers

Answer:

[See Below]

Step-by-step explanation:

✦ [tex]Formula:[/tex] π[tex]r^{2}[/tex]

π[tex]6^{2}=113.0973355[/tex]

✦ Round:

[tex]113.0973355=113.1[/tex]

So your answer would be [tex]C[/tex], [tex]113.1 ~cm^{2}[/tex].

~Hope this helps Mate. If you need anything feel free to message me.

Answer:

yes ion think u need my help

Step-by-step explanation:

Convert the equation 3x^2+3y^2+6x+24y=9 to the standard form of a circle

Answers

Answer:

3 x 2 + 3 y 2 + 6 x = 0

does rational numbers, irrational numbers, integers or whole numbers have the fewest numbers

Answers

Answer:

Whole Numbers

Step-by-step explanation:

whole numbers are just the counting numbers starting from zero: 0,1,2,3...

integers are whole numbers with negatives: ...-3,-2,-1,0,1,2,3...

rational numbers are any numbers that can be expressed as fractions:

2/3, 5, -3, -12/3,4,5,0....

irrational number are numbers that can't be expressed as fractions, which means that they are never-ending decimals.

Hope this helps!

The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed since the beginning of this period to the present day?

Answers

Answer:

Step-by-step explanation:

The exact result is 1.0518984 x 1011 Minutes

(sorry if this doesn't make much sense)

The required number of minutes have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes

Given that,
The Jurassic period began approximately 200 million years ago. Approximate how many minutes have passed from the beginning of this period to the present day is to be determined.


What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

What is arithmetic?

In mathematics, it deals with numbers of operations according to the statements. There are four major arithmetic operators, addition, subtraction, multiplication and division,

Here,
200 million = 200 * [tex]10^6[/tex]
Now,
200 * [tex]10^6[/tex] year = 200 * [tex]10^6[/tex] * 365 days
200 * [tex]10^6[/tex] * 365 days =  200 * [tex]10^6[/tex] * 365 * 24 hours
200 * [tex]10^6[/tex] * 365 * 24 hours = 200 * [tex]10^6[/tex] * 365 * 24 * 60 minutes
= 1.0512 * [tex]10^{14}[/tex] minutes

Thus, the required minutes that have passed from the beginning of this period to the present day is 1.0512 * [tex]10^{14}[/tex] minutes.

Learn more about arithmetic here:

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find the solution of 4t - 2 = 9

Answers

Answer:

t = 11/4

Step-by-step explanation:

Step 1: Write out equation

4t - 2 = 9

Step 2: Add 2 on both sides

4t = 11

Step 3: Divide both sides by 4

t = 11/4

Answer:

[tex]t = 2\frac{3}{4} \\\\t = 11/4[/tex]

Step-by-step explanation:

[tex]4t -2 =9[/tex]

Collect like terms and simplify

[tex]4t=9+2\\\\4t =11[/tex]

Divide both sides of the equation by 4

[tex]\frac{4t}{4} = \frac{11}{4} \\\\t = \frac{11}{4} \\\\11\div 4 =2 \:remainder\: 3\\\\= 2\frac{3}{4}[/tex]

The amounts of vitamin C (in milligrams) for 100g (3.57 ounces) of various randomly selected fruits and vegetables are listed. Is there sufficient evidence to conclude that the standard deviation differs from 12 mg? Use alpha = 0.10. Use a graphing calculator with the program SDHYP and the P-value method. Source: Time Almanac 2012. State the hypotheses and identify the claim with the correct hypothesis. H_0: sigma H_1: sigma This hypothesis test is a (select) test.

Answers

Answer:

H0: sigma=12

H1:sigma≠12

This hypothesis test is a two tailed test.

Step-by-step explanation:

The null value described in the statement is 12 mg. So, the null hypothesis would be sigma=12. As the statement states that whether there is sufficient evidence to conclude that standard deviation differs from 12 mg, so the alternative hypothesis would be sigma ≠12. The alternative hypothesis contains inequality sign so, the hypothesis test is a two tailed test.

Simplify (x4 – 3x3 – 11x2 + 3x + 10) (x – 5)

Answers

Answer: -17+3x

step by step:

4-3x3-11x2+3x+10

4-9-11x2+3x+10

4-9-22+3x+10

-17+3x

Zeros at the end of the multiplier and/or multiplicand are never attached to the product.

Answers

Answer:

False

Step-by-step explanation:

Solve the equation 1/4(x+2)+5=-x

Answers

Answer: Exact Form:

x=−225

Decimal Form:

x=−4.4

Mixed Number Form:

x=−4/25

Step-by-step explanation:



Find the area of a circle with a radius of 11 inches. Use a 3.14. The area of the circle is approximately

inches. Enter only the number.

Answers

Answer:

A = 379.94 square inches

Step-by-step explanation:

The area of a circle equation is:

A = pi *  r^2

Fill in what you know and solve:

A = 3.14 * 11^2

A = 3.14 * 121

A = 379.94

The area of the circle is 379.94 square inches.

What is area of a circle?

The area of a circle is the space occupied by the circle in a two-dimensional plane. Alternatively, the space occupied within the boundary/circumference of a circle is called the area of the circle. The formula for the area of a circle is A = πr², where r is the radius of the circle.

Given that, the area of a circle with a radius of 11 inches.

Here, area of a circle is

A=3.14×11²

= 3.14×121

= 379.94 square inches

Therefore, the area of the circle is 379.94 square inches.

Learn more about the area of a circle here:

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12, 60, 300, ...
Find the 9th term.

Answers

The 9th term is 4,687,500. The explanation is is that you multiply each answer by 5, nine times.

Jeremy spends $4.00 for breakfast and then spends $4.00 for lunch

Answers

Answer:

He spends 8 dollars

Step-by-step explanation:

4 + 4 = 8

Hopefully this helps you :)

pls mark brainlest ;)

what is one and three hundred twenty-four thousand in decimal

Answers

Answer:

1.324

Step-by-step explanation:

"and" is basically the decimal

Answer:

.32400

Step-by-step explanation: just cs

In a group of 53 children, 22 had a dog, 18 had a cat, and 6 had both a
dog and a cat. How many children had neither a dog nor a cat as a pet?
A.37 B.19 C.12 D.31

Answers

Answer: the answer would be 7 because:

Step-by-step explanation:

you have to add 22, 18, and 6 to each other.

22+18=40+6=46

Then you subtract 46 from 53.

53-46=7

Solve the equation. 9x−(3x+9)=2x−25 Select the correct choice below and fill in any answer boxes in your choice. A. The solution set is ​(Simplify your​ answer.) B. There is no solution.

Answers

Answer: Choice A, x=-4

Step-by-step explanation:

1. 9x−(3x+9)=2x−25

2. 9x-3x-9=2x-25

3. 6x-9=2x-25

4. 6x-9=2x-25  

   -2x          -2x

5. 4x-9=-25

       +9    +9

6. 4x=-16 (divide both sides by 4)

7. x=-4

Jeff bought 10 cookies and ate 4 of them. He ate ____% of the cookies. (Make sure to enter the answer using numbers only. Do not enter special characters such as the percent symbol.)

Answers

Answer:

40 percent

Step-by-step explanation:

4/10=40/100=40 percent

he ate 40% of the cookies. you would set this up by putting 4 (the # of cookies that he ate) on top of 10 (the total # of cookies.) by doing this, just divide 4 by 10, which equals .40. move the decimal two places to the right, which will give you a final answer of 40%

What number should be added to 78to get a sum of 97

Answers

THE ANSWER TO THAT PROBLEM IS SIMPLY 175

Answer:

19

Step-by-step explanation:

All you need to do is subtract 78 from 97 to find the "remainder." Or you can also add until you get to 97.

97 - 78 = 19

78 + 19 = 97.

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