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
Helga [31]
3 years ago
6

In a triangle, the base is increasing at a constant rate of 2.8 cm per second, while the height is decreasing at a constant rate

of 0.7 cm per second. At the instant when the base of the triangle is 6 cm and the height of the triangle is 10 cm, what is the rate of change of the area of the triangle?
Mathematics
1 answer:
Ad libitum [116K]3 years ago
4 0

Answer:

Step-by-step explanation:

Area of a triangle = 1/2bh

b is the base

h is the height

dA/dt = dA/db * db/dt + dA/dh * dh/dt

h = 10cm

b = 6cm

dA/db = h/2 = 10/2

dA/db = 5cm

dA/dh = b/2

dA/dh = 6/2 = 3cm

db/dt = 2.8cm/s

dh/dt = 0.7cm/s

Substitutte into the formula;

dA/dt = 5(2.8) + 3(0.7)

dA/dt = 14 + 2.1

dA/dt = 16.1cm²/s

Hence the rate of change of the area of the triangle is 16.1cm²/s

You might be interested in
The graph below represents the path of a grasshopper as it jumps which type of function models the data on the graph
Rom4ik [11]

Answer:

4. quadratic

Step-by-step explanation:

8 0
3 years ago
Help Me Please.................(5)
just olya [345]
The answer is 5 you’re welcome
6 0
3 years ago
DeAngelo is training for a half marathon. Today he is running 13.25 miles. He jogs for the first half hour at a rate of 5.5 mile
Nezavi [6.7K]
For this case, the first thing we must do is define a variable.
 We have then:
 p: rate in miles per hour for the last 1.5 hours
 We now write the equation that models the problem.
 We have then:
 (0.5) * (5.5) + 1.5p = 13.25

 Rewriting we have:
 2.75 + 1.5p = 13.25

 From here, we clear the value of p.
 We have then:
 1.5p = 13.25 - 2.75

p = 10.5 / 1.5

p = 7
 Answer:
 
DeAngelo's rate for the last 1.5 hours of his run is 7 miles per hour.
5 0
3 years ago
HELP ASAP PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ
Stella [2.4K]

Answer:

a. The price per ticket is 4 bucks, and b. you get 1/4 of a ticket for a dollar.

1. the penguin walks 75 feet in 45 seconds, and 2. it takes 27 seconds to walk 45 feet.

Step-by-step explanation:

Tickets:

16 dollars divided by 4 tickets is 4 dollars, so 4 dollars = 1 ticket. therefore, 1 dollar gives you 1/4 of a ticket.

Penguins

formula: X = feet, Y = seconds

X*0.6=Y

10 feet*0.6=6 seconds

(?) feet*0.6= 45 seconds

75 feet*0.6=45 seconds

same thing, but backwards this time

45 feet*0.6=(?) seconds

45 feet*0.6= 27 seconds

Hey can I have brainly please I am really close to leveling up

thx

5 0
3 years ago
Read 2 more answers
ASAP please I need help
Anna007 [38]
In this problem, you are looking at a pair of similar trapezoids. So we must be looking for a ratio between a side in the smaller trapezoid and the corresponding side in the bigger trapezoid. We are given the lengths of AB and EF, which we can use to find this ratio.
But before we do anything we must convert units so that all units are the same. Let's convert the 60 feet into inches. 60 feet is 720 inches.
Next, set up the ratio I mentioned earlier. If we set up the ratio so that it is smaller:larger, we would get 4:720, which simplifies to 1:180. Basically what this ratio says is that every 1 inch in the smaller trapezoid corresponds to 180 inches in the bigger trapezoid. Now we can use this ratio to find the lengths of the sides in the bigger trapezoid. Just multiply all the lengths of the smaller trapezoid by 180 to get the lengths for the bigger trapezoid. Finally, when we have all our side lengths, divide them all by 12 (because 12 inches in 1 foot) to get the measurements in feet.

From here, I'll let you find the total length yourself.
6 0
3 years ago
Other questions:
  • There are 4 semi-trailer trucks parked in a line at the rest stop. After the first truck, each truck in the line weighs 2 tons m
    5·2 answers
  • A standardized​ exam's scores are normally distributed. In a recent​ year, the mean test score was 1521 and the standard deviati
    15·1 answer
  • Write four equivalent expressions for 3(6m+3)
    9·1 answer
  • What is the slope of the the line that goes through (4,3) and (8,5)
    5·1 answer
  • División 210 dividido para 3​
    9·2 answers
  • In what way is five groups of two different from two groups of five ?
    6·2 answers
  • Help ME ASAP PLZZZZZ!!!!!!!!!
    14·1 answer
  • What are the lengths of sides a and b?​
    9·1 answer
  • 2. I earned $9. I bought 4 candy bars for $0.85 each. How much money do I
    14·2 answers
  • What’s the length of the square game board with that area ?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!