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
Elena-2011 [213]
3 years ago
7

Find the area of a triangle with sides lengths 17, 18, and 21.4 units. Round the answer to the nearest hundredth.

Mathematics
1 answer:
mojhsa [17]3 years ago
8 0
To calculate for the area of the triangle given all its side, use the Heron's formula which is, 
 
                            A = sqrt ((s)(s - a)(s - b)(s - c))

where A is the area. a, b, and c are the measure of the sides and s the semi - perimeter or half of the perimeter.

With the given above, s = (17 + 18 + 21.4) / 2 = 28.2

Substituting the known dimensions to the Heron's formula,
          
          A = sqrt ((28.2)(28.2 - 17)(28.2 - 18)(28.2 - 21.4)) = 148 units^3

Thus, the area of the triangle is 148 units^3.



You might be interested in
What is the answer to this?
valkas [14]

Answer:

y=5-4x / 2

I cant do the fraction symbol

4 0
3 years ago
Carter has 37 coins, all nickels and dimes in his piggy bank. The value of the coins is $3.10. How many dimes does Carter have?
Sergio039 [100]
Carter has 25 dimes. He has 12 nickels.
3 0
3 years ago
A randomly generated list of integers from 1 to 5 is being used to simulate an
elena55 [62]

Answer: it’s 40% if your confused… aka (A.)

Step-by-step explanation:

4 0
3 years ago
During optimal conditions, the rate of change of the population of a certain organism is proportional to the population at time
Lana71 [14]

Answer:

The population is of 500 after 10.22 hours.

Step-by-step explanation:

The rate of change of the population of a certain organism is proportional to the population at time t, in hours.

This means that the population can be modeled by the following differential equation:

\frac{dP}{dt} = Pr

In which r is the growth rate.

Solving by separation of variables, then integrating both sides, we have that:

\frac{dP}{P} = r dt

\int \frac{dP}{P} = \int r dt

\ln{P} = rt + K

Applying the exponential to both sides:

P(t) = Ke^{rt}

In which K is the initial population.

At time t = 0 hours, the population is 300.

This means that K = 300. So

P(t) = 300e^{rt}

At time t = 24 hours, the population is 1000.

This means that P(24) = 1000. We use this to find the growth rate. So

P(t) = 300e^{rt}

1000 = 300e^{24r}

e^{24r} = \frac{1000}{300}

e^{24r} = \frac{10}{3}

\ln{e^{24r}} = \ln{\frac{10}{3}}

24r = \ln{\frac{10}{3}}

r = \frac{\ln{\frac{10}{3}}}{24}

r = 0.05

So

P(t) = 300e^{0.05t}

At what time t is the population 500?

This is t for which P(t) = 500. So

P(t) = 300e^{0.05t}

500 = 300e^{0.05t}

e^{0.05t} = \frac{500}{300}

e^{0.05t} = \frac{5}{3}

\ln{e^{0.05t}} = \ln{\frac{5}{3}}

0.05t = \ln{\frac{5}{3}}

t = \frac{\ln{\frac{5}{3}}}{0.05}

t = 10.22

The population is of 500 after 10.22 hours.

7 0
2 years ago
Dave surveyed 80 7th-graders and 90 8th-graders. He found that about 75% of the 7th-graders like pop music, while 80% of the 8th
dimaraw [331]

<u>8th Grade: </u>90 x 0.80 = 72

<u>7th Grade:</u> 80 x 0.75 = 60

Conclusion: 8th Graders like pop music more because 72 out of the 90 in 8th grade Dave surveyed enjoy it, compared to the 60 out of 80 in 7th grade that enjoyed it.

5 0
3 years ago
Other questions:
  • What is the length of segment SR? units
    13·2 answers
  • What is the slope for (20,8) and (4,4)
    8·1 answer
  • Solve for x.<br> 5(x – 10) = 30 – 15x<br> x = 1<br> x = 4<br> x = 5<br> x = 8
    12·2 answers
  • HELP HELP HELP PLEASE
    7·2 answers
  • A cell phone plan charges $15 per month for 300 text messages. The plan charges eight cents for each additional text message. Yo
    10·1 answer
  • Consider this argument: LOGIC BASED, NOT PERSONAL EXPERIENCE
    6·1 answer
  • What is the derivative of this?<br><br> Dy/dx=x^2y+y^2x
    9·1 answer
  • Question 23 of 25
    14·2 answers
  • Which statements are true about the graph shown below. There are more than one answer.
    6·1 answer
  • Please help me with this one
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!