Whats the 32nd Term of the sequence 34,37,40,43
1 answer:
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Answer:
1.6m
Step-by-step explanation:
The length of the blade is 3.2m
The angle which the blade makes is 30°
Assuming the path of the blade and the length it covers is a right-angled triangle,
The length of the blade is the hypothenus while the path at which it clears is the opposite of the triangle.
See attached document for better illustration.
Using SOHCAHTOA,
Sinθ = opposite / hypothenus
opposite = x
hypothenus = 3.2
θ = 30°
Sin30 = x / 3.2
X = 3.2sin30
X = 3.2 × 0.5
X = 1.6m
The path which the snow plough clears is 1.6m
The length of the rectangle is = 72 cm
The width of the rectangle is = 56 cm
Area of the rectangle is =
= cm²
As given, the other rectangle has the same area as this one, but its width is 21 cm.
Let the length here be = x
Hence, length is 192 cm.
We can see that as width decreases, the length increases if area is constant and when length decreases then width increases if area is constant.
So, in the new rectangle,constant of variation=k is given by,
or
Hence, the constant of variation is