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
Oksi-84 [34.3K]
3 years ago
5

The altitude of a triangle is increasing at a rate of 1 cm/min while the area of the triangle is increasing at a rate of 2 cm2/m

in. At what rate is the base of the triangle changing when the altitude is 10 cm and the area is 190 cm2? cm/min
Mathematics
1 answer:
Mnenie [13.5K]3 years ago
8 0

Answer:

The base is reducing at a rate of 3.4cm per min.

Step-by-step explanation:

Let The Height of the Triangle, h

Area of the triangle = A

Area of a Triangle, A= \frac{1}{2}bh

When A=190 cm^2, h=10cm

190= \frac{1}{2}*b*10\\b=38cm

\frac{dA}{dt}=\frac{1}{2}h\frac{db}{dt}+ \frac{1}{2}b\frac{dh}{dt}\\\frac{dh}{dt}=1 cm/min, \frac{dA}{dt}=2cm^2/min,

2=\frac{1}{2}*10*\frac{db}{dt}+ \frac{1}{2}*38*1\\2=5\frac{db}{dt}+19\\2-19=5\frac{db}{dt}\\-17=5\frac{db}{dt}\\\frac{db}{dt}=-\frac{17}{5} =-3.4 cm/min

The base is reducing at a rate of 3.4cm per min.

You might be interested in
There are 5 times as many males as females on the maths course at university. What fraction of the course are female? Give your
koban [17]

Answer: 1/6

Step-by-step explanation: Let the no of females be x

The no of males be 5x

The total no of males and females in the math course be 5x+x= 6x

The fraction of females is x/6x = 1/6

4 0
3 years ago
Help i need help i cant figure this out
katovenus [111]
Xis less than or equal to 3

8 0
3 years ago
Read 2 more answers
<img src="https://tex.z-dn.net/?f=4859%20%5Cdiv%2023" id="TexFormula1" title="4859 \div 23" alt="4859 \div 23" align="absmiddle"
DerKrebs [107]
The answer is 211.26087
3 0
3 years ago
Read 2 more answers
Wich is greater 8kg or 30 oz
Anna11 [10]
8kg, Because 8kg in oz is 282
5 0
3 years ago
Read 2 more answers
D. (30 * 4) + (8 * 2)
RideAnS [48]
30•4=120, 8•2=16. 120+16=136
7 0
3 years ago
Read 2 more answers
Other questions:
  • A flower store sold 2,450 flowers in a month. If 60% of the flowers the store sold were roses, how many roses did the store sell
    11·2 answers
  • How much will you pay for 5 pounds of shrimp if the cost is 2 pounds for 10.99
    12·1 answer
  • Which sets of numbers are closed under addition?
    13·1 answer
  • If tan x = , and 0 &lt; x &lt;<br> , what is cos(x – 3x)?
    5·1 answer
  • Use distributive property to rewrite problem so it had only two factors. Then solve (25x9)+(75x9)=
    6·1 answer
  • When a customer places an order at Ying Ying's bakery, there is an 8\%8%8, percent probability that the customer will report a f
    12·1 answer
  • Please help me right answers please!
    5·2 answers
  • A square has a side length of 9 yards. What is its area in square​ feet?
    14·2 answers
  • Which congruency statements could be correct for the figures? Check all that apply. MNOP ≅ STUV MNPO ≅ TSVU NPOM ≅ VUTS OPNM ≅ T
    11·2 answers
  • 5x - 3<br> BUNDYS<br> 21 - X<br> -<br> -<br> Q<br> S
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!