ANSWER
The slant height is 40cm.
EXPLANATION
The lateral area of a cone is given by:
where r=10cm is the radius of the circle and l is the slant height.
It was also given that, the lateral area is 400π cm²
We substitute the values to get,
We now divide both sides by 10π.
This implies that,
Hence the slant height is 40cm.
Answer:
11°
Step-by-step explanation:
Kindly find the diagram attached.
From the diagram we are given two interior angles ∠NLM and ∠LMN and exterior angle ∠MNO.
You must understand that sum of interior angles is equal to the exterior angles.
∠NLM+ ∠LMN = ∠MNO
Given parameters
∠NLM = x-4
∠LMN = x+9
∠MNO = 4x-17
Substitute the given parameters into the equation above;
x-4+x+9 = 4x-17
2x+5 = 4x-17
2x-4x=-17-5
-2x = -22
x = -22/-2
x = 11°
Hence the value of x is 11°
