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
zepelin [54]
3 years ago
10

Area of a Triangle

Mathematics
1 answer:
jek_recluse [69]3 years ago
8 0

Answer:

3.51 (round to the nearest hundreds)

Step-by-step explanation:

PART A

slope of the line passing through AC : (6-1)/(1-2) = 5/-1 = -5

equation of the line passing through B and perpendicular to AC:

y-3 = 1/5(x-3)

y-3 = 1/5x -3/5

y = 1/5 x - 3/5 + 3

y = 1/5 x + (-3+15)/5

y = 1/5 x + 12/5

PART B

line that passes through the points A and C

y-1 = -5(x-2)

y = -5x+10 + 1

y = -5x + 11

Interception of the lines

y = 1/5x + 12/5

y = -5x + 11

-5x + 11 = 1/5x + 12/5

-25x +55 = x + 12

26x = 43

x = 43/26

y = -5(43/26) + 11

y= -215/26 + 11

y = (-215+286)/26 = 71/26

D (1.65, 2.73)

PART C

AC = \sqrt{(1-2)^2 + (6-1)^2} = \sqrt{1 + 25} = \sqrt{26} = 5,09902

BD = \sqrt{(3-1.65)^2 + (3-2.73)^2} = 1,376735

PART D

AREA = (5,09902 * 1.376735)/2 = 3,509999

You might be interested in
Casey uses some of his savings on batting practice. the cost of renting a batting cage for 1 hour is $6. he rents a cage for 9 h
sammy [17]
It 54 thank you welcome you
5 0
2 years ago
Mary has $267 in her checking account. She writes checks for $33, $65, and $112. What is the balance in her account now?
nata0808 [166]

Answer:

267 - 112 - 65 - 33 = $57

Step-by-step explanation:

subtract to get the answer

5 0
3 years ago
A factorial experiment was designed to test for any significant differences in the time needed to perform English to foreign lan
yuradex [85]

Answer:

For main effects

Factor (Language translator) confirms that there is no significance difference between two levels of language translator of main effect at 5% level of significance.

Factor (Types of language) confirms that there is no significance difference between three levels of types of language at 5% level of significance.

also,

For interaction effect between language translator and types of language, there is no significant difference that the interaction between language translator and types of language at 5% level of significance.

Step-by-step explanation:

see attached.

3 0
3 years ago
Exact real Value of accros (1/2)
kicyunya [14]

Answer:

0.5

Step-by-step explanation:

3 0
3 years ago
Add a meeting six people each one another by shaking hands. If each person must shake hands once with every other person in the
Phantasy [73]

The number of handshakes is the number of ways 6 objects can be selected 2 at a time.

.. C(6,2) = 6·5/(2·1) = 15


The appropriate choice is

... C) 15


_____

Consider that each person can shake hands with 5 others. That's a total of 6*5 = 30 handshakes, but it counts both A shaking with B and B shaking with A. If each pair of persons only shakes hands once, the number of handshakes is 30/2 = 15.

8 0
3 years ago
Other questions:
  • Gas mileage actually varies slightly with the driving speed of a car​ (as well as with highway vs. city​ driving). Suppose your
    14·1 answer
  • PR and PS are tangent to center Q. Find the measurement of angle Q
    7·1 answer
  • What is the solution of 7k+2=4k-10?
    15·1 answer
  • Find the perimeter of the rectangle whose vertices are the points with coordinates (0,0), (2,0), (0,5), and (2,5).
    13·1 answer
  • During one snowy month a kentucky school held classes 9/11 of possible the school days if there are 22 possible school days how
    5·1 answer
  • If f (x) = x2 + 3x + 4 and g(x) = 5x + 7, for what values of x does f (x) = g(x)​
    9·1 answer
  • You buy tomatoes in 25- pound cases. One batch of cobb salad requires 6 ounces of tomatoes. How many portions can be made with o
    10·1 answer
  • Find the slope of the line
    11·2 answers
  • Please round to nearest hundredth and give explanation.
    7·1 answer
  • Find the mean of the following data set: 40, 58, 37, 23, 66, 42, 35, 37, 51, 42, 56, 37, 61, 52.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!