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
LiRa [457]
3 years ago
10

Find the area of ΔABC.

Mathematics
1 answer:
zysi [14]3 years ago
6 0

Answer:

Step-by-step explanation:

You know two sides of the triangle and the angle between them, so use the Law of Cosines to solve the triangle.

a² = √(b²+c² - 2bc·cosA)

= √(9²+7.8² -  2·9·7.8·cos(32°)

≅ 4.8

Then use Heron's formula to calculate the area.

semiperimeter s = 0.5×(a+b+c) ≅ 10.8

area = √(s-(s-a)(s-b)(s-c)) ≅ 18.6 square units

You might be interested in
Evacuate 3 1.5 + 2 2.3
zaharov [31]

Answer:

53.8

Step-by-step explanation:

31.5 + 22.3

53.8

Hope it helps

3 0
3 years ago
Read 2 more answers
Linda purchased a used vehicle that depreciates under a straight line method. The initial value of the car is $7000, and the sal
makvit [3.9K]

Answer:

The value at the end of year 2 is $4400.

Step-by-step explanation:

The best approach here is to determine the expression for the line depreciation and then calculate the depreciation value at x = 2 years.

A line is given by

y = mx + b

where m is the slope and b the bias (aka y-intercept).  You can determine both directly from what is given. The slope is change in y divided by change in x. We know that over 5 years the car loses (500-7000)=-6500 in value. So, the slope is m=-6500/5 (note the negative sign). At time 0, the y-intercept is 7000, since that is the initial value (at year 0). So our line function is fully identified:

y = -\frac{6500}{5}x+7000

and gives you the value of the car in any given year. To answer the question, we now plug in 2 as value of x:

y=-\frac{6500}{5}\cdot 2 + 7000= 4400

3 0
3 years ago
Read 2 more answers
A class tossed coins and recorded 165 heads and 172 tails. What is the experimental probability of tails?
Nata [24]
165+172=337

172/337 is the experimental probability of tails.

Hope this helps!
5 0
3 years ago
Read 2 more answers
I NEED HELP FASTT!!! PLEASE
AysviL [449]

Answer:

5

Step-by-step explanation:

8x - 6 > 12 + 2x

Subtract 2x from each

8x -2x -6 > 12+2x-2x

6x -6 > 12

Add 6 to each side

6x -6+6 > 12+6

6x > 18

Divide by 6

6x/6 > 18/6

x > 3

The only value greater than 3 is 5

4 0
3 years ago
Read 2 more answers
DC↔ means “ _____ DC”<br><br> A. line DC<br> B. ray DC<br> C. line segment DC<br> D. angle DC
lidiya [134]
Your answer would be line DC or a have a nice day!
6 0
3 years ago
Read 2 more answers
Other questions:
  • Hellllllllłllllllllllllllllllllllllllllllllllpp
    14·2 answers
  • Help do this 868÷4 657÷2. 8473÷7 using long division
    9·2 answers
  • What is 4.79 rounded to the nearest tenth
    8·2 answers
  • HELP ASAP
    8·2 answers
  • The seventh grade class is putting on a variety show to raise money. It cost $700 to rent the banquet hall that they are going t
    5·2 answers
  • For each of the following portions,draw a diagram of the mixture in the jar. Then shade a layer that would correspond this porti
    9·1 answer
  • {letter in the word LOVE } {letter in the words MOVE}​
    14·1 answer
  • Book a has 24 more pages than book b.book c has 4 times as many pages as book a.the total number of pages of the three books is
    6·2 answers
  • A shelf can support 3 and 3/4 pounds.
    6·1 answer
  • The sum of two numbers is 18 and their difference is 6.
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!