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
juin [17]
3 years ago
10

The base of a triangle is decreasing at the rate of 1 ft/sec, while the height is increasing at the rate of 2 ft/sec. At what ra

te is the area of the triangle changing when the base is 10 ft and the height is 70 ft? Remember to use the product rule when you find the expression for dA, dt.
Mathematics
2 answers:
astra-53 [7]3 years ago
8 0

Answer:

-25ft/second

Step-by-step explanation:

The explaination above is correct, except you forgot that the base is decreasing.  So db/dt should be -1 not 1.  Therefore, it is -35 + 10, equaling -25.  

Vera_Pavlovna [14]3 years ago
3 0
We are given with the rate of change of the base, db/dt equal to 1 ft/ sec and the rate of change of the height of the triangle, dh/dt equal to 2 ft/sec. b is 10 ft and h is 70 ft. Area of triangle is equal to A= 0.5 bh The rate of change of the area is equal to dA/dt = 0.5 b dh/dt + 0.5 h db/dt. Substituting, dA= 0.5*10*2 + 0.5*70 * 1 equal to 45 ft2 / sec.
You might be interested in
How many fixed-requirement constraints does a transportation problem with 5 factories and 6 customers have?a. 30.b. 11.c. 6.d. 5
bulgar [2K]

Answer:

Option B

Step-by-step explanation:

From the question we are told that:

Demand point m=5

Supply Point n=6

Generally the equation for fixed-requirement constraints is mathematically given by

 X=m+n

 X=5+6

 X=11

Therefore the correct option is

Option B

7 0
2 years ago
Swim team members can race or dive. At a meet, 18 members race. The ratio of racers to divers is 6 : 2. How many members are on
AnnyKZ [126]

Answer:

24

Step-by-step explanation:

Given that:

Total number of members who race = 18

Ratio of racers to divers = 6 : 2

To find:

Total number of members of the team = ?

Solution:

Given the ratio = 6 : 2

As per the ratio given, we can let the number of racers = 6x

and

As per the ratio given, we can let the number of divers = 2x

As the swim team members can either race or dive, we can say that:

Total number of members on the team = Number of racers + Number of divers

Total number of members on the team = 6x+2x=8x

As per the question statement, we are given that:

6x=18\\\Rightarrow x =\dfrac{18}{6}\\\Rightarrow x =3

Therefore, total number of team members = 8 \times 3 = <em>24</em>

7 0
2 years ago
A triangle has sides that measure 3 cm, 4 cm, and 5 cm. What type of triangle is it?
IRISSAK [1]

Answer:

it is A Scalene Triangle

7 0
2 years ago
Find the unknown angle measure
laiz [17]

Answer:50

Step-by-step explanation:

Since the total of angles is 180, you just substract two numbers given by 180. Then, you will get 50. 180-(58+72) = 50

3 0
3 years ago
Question 1 of 10
11111nata11111 [884]

Answer:

145.2 + .3 = 145.5

145.2 - .3 = 144.9

144.9 <= x <= 145.5

7 0
2 years ago
Other questions:
  • A plant grows 3 centimeters in 10 days. How much does it grow per day? How can I answer my question as a fraction in simplest fo
    9·1 answer
  • Look at the picture for the question please show work.
    15·1 answer
  • The area of the rectangle below is ___sq. units.
    7·1 answer
  • 6.6 as a mixed number
    5·1 answer
  • Solve for x: x^2 = 289<br>step by step​
    12·2 answers
  • Reduce this fraction to lowest terms. 27/45<br><br> A.3/5<br> B.9/15<br> C.5/9
    15·1 answer
  • 4. What is the correct simplified form? See picture
    9·1 answer
  • Plz help Which statements are true about the circle shown below? Select three options.
    9·2 answers
  • Since the fabric store only sells string in millimeters, Sara needs to convert 5 cm to mm in order to figure out how much
    15·1 answer
  • A store charges a restocking fee for any returned item based upon the item price. An item priced at $200 has a fee of $12. An it
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!