Answer:
541.67m²
Step-by-step explanation:
Step 1
We find the third angle
Sum of angles in a triangle = 180°
Third angle = Angle V = 180° - (63 + 50)°
= 180° - 113°
Angle V = 67°
Step 2
Find the sides x 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 VWX
v/ sin V = w/ sin W = x / sin X
We have the following values
Angle X = 50°
Angle W = 63°
Angle V = 67°
We are given side w = 37m
Finding side v
v/ sin V = w/ sin W
v/ sin 67 = 37/sin 63
Cross Multiply
sin 67 × 37 = v × sin 63
v = sin 67 × 37/sin 63
v = 38.22495m
Finding side x
x / sin X= w/ sin W
x/ sin 50 = 37/sin 63
Cross Multiply
sin 50 × 37 = v × sin 63
x = sin 50 × 37/sin 63
x = 31.81082m
To find the area of triangle VWX
We use heron formula
= √s(s - v) (s - w) (s - x)
Where S = v + w + x/ 2
s = (38.22 + 37 + 31.81)/2
s = 53.515
Area of the triangle = √53.515× (53.515 - 38.22) × (53.515 - 37 ) × (53.515 - 31.81)
Area of the triangle = √293402.209
Area of the triangle = 541.66614164081m²
Approximately to the nearest tenth = 541.67m²
The slope of y=-2x+5 is -2 the intercept is 5
Answer: a) 3 2/3, b) 5 2/5
Explanation:
a) 5/3 + 6/3 = 11/3 = 3 2/3
b) 12/5 + 15/5 = 27/5 = 5 2/5
Answer: Yeah its a rational number.
Answer:
A) Associative Property of Addition
Step-by-step explanation:
<u><em>Associative Property of Addition</em></u>
Let A, B and C be any three real numbers
A+(B+C) = (A+B) + C
Given data
(20.4 + 3.75) + 4.25 = 20.4 + (3.75 + 4.25)
= 20.4 + 8.0
= 28.4
