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
Business leaders in the late nineteenth century utilized vertical integration by maintaining control of production and distribution of their products.
Answer: Option C
<u>Explanation:
</u>
Vertical integration is a competitive strategy that gives the company full control over one or more stages of product production or distribution. Rockefeller tirelessly tried to take full control of business 'oil refinery'. While other business people were flooding the area in search of quick fortune, Rockefeller was thinking of destroying his rivals and creating a real monopoly in the refining industry.
Looking for even more control, Rockefeller saw the benefits of organizing the transportation to his products. Then, he began to develop his business through vertical integration, in which the company analyses all aspects of the product life cycle, from raw material extraction, through the production process, to the final delivery of the product.
Other industrialists quickly followed, including Gustavus Swift, who at the end of the 19th century used vertical integration to dominate the American meat packaging industry.
Y-intercept: (0,-3)
x-intercept: (0,5)
Answer:
B: 12
Step-by-step explanation:
length of one side =150
length of one path =12.5
Number of patches= 150 / 12.5
Number of patches = 12
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