1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
faust18 [17]
3 years ago
15

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 spee

d 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.)
Mathematics
1 answer:
sweet [91]3 years ago
7 0

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

You might be interested in
Please help by giving me the 3 digit code and a explanation.
Tresset [83]

Answer:   281

Step-by-step explanation:

5 0
3 years ago
Which expression is equivalent to 1/6 - 3/8 + 1/2
serg [7]

Answer:

7/24

Step-by-step explanation:

1/6-3/8+1/2

4/24-9/24+12/24

-5/24+12/24

7/24

3 0
2 years ago
Yesterday I ran 5 miles. Today, I ran 3.7 Miles.
Stella [2.4K]

Answer:

percent decrease

26%

Step-by-step explanation:

Yesterday you ran 5 miles

Today you ran 3.7 miles

The amount went down, so the percent decreased

The percent decrease = (original - new)/original * 100 %

                                      = (5-3.7)/5 * 100%

                                      = 1.3/5 * 100 %

                                      =.26 *100%

                                      = 26%

                 

5 0
3 years ago
Read 2 more answers
N the recursive formula f(n) = f(n - 1) + 5, the value of the previous term is represented by
eimsori [14]
F(n-1) = f(n) - 5, based off of the first one
3 0
3 years ago
What is the mean, median and mode of the following data set? Please label each response.
irinina [24]

Answer:

Mean: 21

Median: 23

Mode: 27

Step-by-step explanation:

order from least to greatest:

1, 15, 18, 22, 23, 25, 27, 27, 31

mean: add all the numbers and divide by 9 bc thats how many numbers there are so that means the answer is

21

Median: to find the median you order the numbers from least to greatest and find out the middle number so in that case the median is 23

Mode: to find the mode you look to see what number is repeated multiple times, so the mode is 27

8 0
3 years ago
Other questions:
  • What is the meaning for “mean” in math?
    10·2 answers
  • What is 7.375 to the nerest whole number​
    8·2 answers
  • I need help please!!
    12·1 answer
  • A pair of linear equations is shown below:
    9·2 answers
  • Which triangle would be impossible to create?
    9·2 answers
  • Which of the following expressions is equal to 5 - 2m
    9·1 answer
  • Write an equation in standard form passing through the points (-2,0) and (-3,-1).
    8·1 answer
  • Find the measure of each exterior angle of the regular polygon.
    8·2 answers
  • 8h 29min<br> + 3h 29min<br> ----------------<br> h min
    5·1 answer
  • A 3.0-kg ball moving eastward at 4.0 m/s suddenly collides with and sticks to a 5.0-kg ball moving northward at 3.0 m/s. what is
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!