Answer:
No, the 270 cm rope Clint has is not enough to do the job.
Explanation:
The height of tree where rope has to be tied = 180 cm
The distance of the stake from the base of the tree = 200 cm
We can say that the arrangement makes a right angle triangle, with the right angle situated at the base of the tree. The figure is attached below. Consult it for better understanding.
Length of the rope can be found by using Pythagoras theorem.
(Length of rope)² = 180² + 200²
Length of rope = 269 cm
As it is stated the additional 30cm of rope is required for tying from both ends. Total length of rope required is:
Total length of rope = 269 + 30
Total length of rope = 299 cm
As length of rope required is 299cm, the 270 cm rope Clint has is not enough to do the job.
Answer:
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Explanation:
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Answer:
m<MON = 100°
Explanation:
Given:
Area of shaded sector LOM = 2π cm²
NL = 6 cm
Required:
m<MON
Solution:
m<MON = 180° - m<LOM (angles in a straight line)
We don't know m<LOM. Therefore, let's find m<LOM.
Area of a sector = θ/360 × πr²
Area of sector LOM = 2π cm²
r = 3 cm
θ = m<LOM = ?
Plug in the values
2π = m<LOM/360 × π × 3²
2π = m<LOM/360 × 9π
2π = m<LOM × 9π/360
2π = m<LOM × π/40
Multiply both sides by 40
2π × 40 = m<LOM × π
80π = m<LOM × π
Divide both sides by π
80π/π = m<LOM
80 = m<LOM
m<LOM = 80°
✔️m<MON = 180° - m<LOM (angles in a straight line)
Substitute
m<MON = 180° - 80°
m<MON = 100°
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