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
Answer:
the answer is 12/8
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The fraction of the juice Alisa drank was
3/8 liter
--------------------
3/2 liters
and this fraction can be simplified by inverting the divisor (3/2 liters) and multiplying instead:
3 2
------ * ----- = 2/8 or 1/4
8 3
Alisa drank 1/4 of the juice that was originally in the bottle.
Answer:
5 of the bouquets are Daises.
Step-by-step explanation:
25 in all. 4/5 are Roses.
4/5 = Rose Bouquets 1/5 = Daisy Bouquets
4/5 = 20/25
1/5 = 5/25
So 5 are Daises
