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
Find the value of X.
anastassius [24]

Answer:

839

Step-by-step explanation:


3 0
3 years ago
17% of what number is 3.4
saw5 [17]

Answer:

20

Step-by-step explanation:

We already have our first value 3.4 and the second value 17. Let's assume the unknown value is Y which answer we will find out.

As we have all the required values we need, Now we can put them in a simple mathematical formula as below:

Step 1 ---> 3.4 = 17% × Y

Step 2 ---> 3.4 = 17/100 × Y

Multiplying both sides by 100 and dividing both sides of the equation by 17 we will arrive at:

Step 3 ---> Y = 3.4 × 100/17

Step 4 ---> Y = 3.4 × 100 ÷ 17

Step 5 ---> Y = 20

Finally, we have found the value of Y which is 20 and that is our answer.

<h3><u>*You can easily calculate 3.4 is 17 percent of what number by using any regular calculator, simply enter 3.4 × 100 ÷ 17 and you will get your answer which is 20*</u></h3>
4 0
2 years ago
Enrico deposited $2000, in a savings account. Each month he will deposit an additional $25. Which kind of function best models t
AfilCa [17]

Answer:

<em> Linear model </em>

The function f(x) which represents the total amount in the savings account in x months is given by:           f(x)=25x+2000

Step-by-step explanation:

Given:

Enrico deposited $2000 in a savings account.

Each month he will deposit additional $25.

This shows that the rate at which the amount is increasing each month is constant.

Therefore, the model will be  linear with a slope 25.

So , if x represents the number of months.

and f(x) represents the corresponding amount in the account.

Then the function f(x) is given by: f(x)=25x+2000

3 0
3 years ago
if i am 57 years old and i have known someone for 6 and a half years what percentage of my life have i known that person​
Mekhanik [1.2K]

Answer: 11.4%

Step-by-step explanation:

100% of your life is 57 years

?% will be 6.5 years?

this is a simple ratio problem:

57 --> 100%

6.5 ---> (6.5 x 100)/57 ≅ 11.4%

You have known the person for about 11.4% of your life.

4 0
2 years ago
A crafts store investigates the sales of paintings. It records the category of painting and whether it is in a frame or on a can
worty [1.4K]

Answer:

4/11

Step-by-step explanation:

I got the question wrong and it told me the right answer.

6 0
3 years ago
Other questions:
  • a garage floor measures 150 feet by 120 feet a scale drawing of the floor on grid paper uses a scale of 1 unit : 15feet what are
    7·2 answers
  • What is the solution set of the quadratic inequality x^2+x-2&gt;0?
    7·2 answers
  • Need help ASAP
    8·1 answer
  • lvava is calculating the area of a circle with a radius of 3/4 which of the following gives the BEST estimation of the area?
    5·1 answer
  • jacks car used 18 gallons of gasoline to go for 68 miles at that rate how many gallons would be used to go 754 miles
    12·1 answer
  • An ice cream shop owner wants to find out what new flavor of ice cream he should sell in his shop. Which method would be the BES
    15·1 answer
  • I been confused about this for the longest whats this answer 1500g+10.0m/s^2.
    11·1 answer
  • _______ × 0.89 &gt; 0.89 whats answer
    12·2 answers
  • I need to solve 6 2/3-21/6
    10·1 answer
  • What is the shape of the cross-section formed when a plane containing line AC and line EH intersects this cube? What is the area
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!