aminamuhammad11
02.09.2021 •
Mathematics
Help will give points
Solved
Show answers
More tips
- F Food and Cooking What to Give as a Wedding Gift?...
- F Food and Cooking Everything You Need to Know About Pasta...
- C Computers and Internet How to Choose a Monitor?...
- S Style and Beauty How to Get Rid of Peeling Nails: Natural Remedies...
- S Science and Technology Understanding Magnetic Storms: A Guide to This Natural Phenomenon...
- F Family and Home What is Most Important in Men s Lives?...
- G Goods and services Which TV is better - LCD or Plasma?...
- C Computers and Internet Are there special gaming mice?...
- G Goods and services LED-подсветка в LCD-телевизорах: 5 причин, почему она лучше других технологий...
- C Computers and Internet Keep Your Mouse Pad Clean: The Right Way to Clean It?...
Answers on questions: Mathematics
- M Mathematics Given the equation 5x+23=-2x-12, which order of operations completely solves for x...
- M Mathematics After the last stop on mr. tuttle’s route, the number of students on the bus is 3/4 of its full capacity. once mr. tuttle has completed picking up all the students on his route,...
- M Mathematics At the first four stops, the number of students that board mr. tuttle’s school bus is 4, 6, 12 and 2 students, respectively, and no students exit the bus. after these four stops,...
- M Mathematics Answer the question in the picture below....
- M Mathematics Find the vertices and foci of the hyperbola with equation (x+1)^2/16-(y+5)^2/9=1...
- M Mathematics With number 11 plz? and tysm to the people who do me cause i have been asking for hours for...
- M Mathematics Marcel bought a,new hat for $21.99 and 2 pairs of socks for 3.99 each. what is the total price, including a 7.5% sales tax?...
- M Mathematics Which pair of quantities is least likely to be directly proportional? clear check area and side length of a rhombus , distance and time when speed is constant, total cost and...
- M Mathematics Hi! what is the slope of line line passing through 2,4 and 4,2?...
- M Mathematics If 2x^2-5x+7 is subtracted from 4x^2+2x-11, what is the coefficient of x in the result?...
Ответ:
Step-by-step explanation:
I don't know if, just because I'm a high school math teacher, I way over-think things, but the method I used to come to the answer here is crazy and convoluted...but it works. Follow me here while I explain it.
I put that drawing you have there in a coordinate plane and made a point D at the end of the segment that begins with A; made a point E at the end of the segment that begins with B. Putting that into a coordinate plane with E at the origin gives A coordinates of (0, 2); B (1, 2); D (2, 1). We need to find the coordinates of C to use later. That's the first job.
When you put this into a coordinate plane, it allows you to write the equations of the segments AD and BE.
AD: y = -1/2x + 2
BE: y = 2x
If you set these equal to each other, you can see where the lines intersect (the coordiantes of this point) by solving for x and y.
-1/2x + 2 = 2x and
2.5x = 2 so
x = .8
And if x = .8, we can sub that into either equation to find y:
y = 2(.8) so
y = 1.6
So the coordinates of C are (.8, 1.6).
Now we can find the lengths of each of these segments AC and BC. We already know that the length of segment AB is 1.
Find the lengths of each of these segments using the coordinates for each in the distance formula. The lengths are as follows:
AC = .8944
BC = .4472
This allows me to use the Law of Cosines to find the measure of angle A.
Angle A = 26.56°
Now I can use the area formula for a triangle that says
and
so
A = .1999 units squared