Answer:
388.5yd²
Step-by-step explanation:
We have Triangle TUV
In the question, we are given already
Angle U = 32°
Angle T = 38°
Angle V = ???
Side t = 31yd
Side u = ?
Side v = ?
Area of the triangle= ?
Step 1
We find the third angle = Angle V
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (32 + 38)°
= 180° - 70°
Angle V = 110°
Step 2
Find the sides u and v
We find these sides using the sine rule
Sine rule or Rule of Sines =
a/ sin A = b/ Sin B
Hence for triangle TUV
t/ sin T = u/ sin U = v/ sin V
We have the following values
Angle T = 38°
Angle U = 32°
Angle V = 110°
We are given side t = 31y
Finding side u
u/ sin U= t/ sin T
u/sin 32 = 31/sin 38
Cross Multiply
sin 32 × 31 = u × sin 38
u = sin 32 × 31/sin 38
u = 26.68268yd
u = 26.68yd
Finding side x
v / sin V= t/ sin T
v/ sin 110 = 31/sin 38
Cross Multiply
sin 110 × 31 = v × sin 38
v = sin 110 × 31/sin 38
v = 47.31573yd
v = 47.32yd
To find the area of triangle TUV
We use heron formula
= √s(s - t) (s - u) (s - v)
Where S = t + u + v/ 2
s = (31 + 26.68 + 47.32)/2
s = 52.5
Area of the triangle = √52.5× (52.5 - 31) × (52.5 - 26.68 ) × (52.5 - 47.32)
Area of the triangle = √150967.6032
Area of the triangle = 388.5454973359yd²
Approximately to the nearest tenth =388.5yd²
Answer: Thats a question for the pro's
Step-by-step explanation:
Dude im a very smart programing 8th grader but i have no idea how to do this
Answer: y<2
Step-by-step explanation:
Since we can say a functions could be added to the system without changing the solution set if after including it to the system the feasible region of entire system is not affected.
Here, the solution to the system of inequalities is,
y≤ 0.5x+2
y>3x-3
Since after ploting these two enequslties in the graph we get our feasible region.
When we include y > 2 in the system there is no solution of the system.
Therefore it affects the system.
Now when we include y < 2 in the system the solution or feasible region remain same.
Therefore it does not affect the system.
When we include y > 3 in the system there is no solution of the system.
Therefore it affects the system.
When we include line y=3 in the system then the system has no solution.
Therefore, it affects the system.
Thus, second Option is correct.
Explanation:
The functions are givenm below as
Find:
To figure out the value of the function above, we will use the formula below
By substituting the functions, we will have
Hence,
The final answer is
OPTION B is the correct answer