What’s the surface area of this shape?
1 answer:
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Answer:
see explanation
Step-by-step explanation:
a
The tangent and the radius at the point of contact form a right angle
Using Pythagoras' identity on the right triangle formed.
Let x be the distance from the centre to P, then
x² = 4² + 10² = 16 + 100 = 116 ( take the square root of both sides )
x = ≈ 10.77 cm (to 2 dec. places )
b
let the required angle be Θ, then
Using the sine or cosine ratio in the right triangle.
cosΘ = =
Θ = (
) ≈ 21.8°
Answer:
81.8%
Step-by-step explanation:
Mean =
Standard deviation =
Now we are supposed to find out what percent of the numbers fall between 35 and 50
Substitute the values
Now for P(35<x<50)
Substitute x = 35
Substitute x = 50
So, P(-1<z<2)
P(z<2)-P(z<-1)
=0.9772-0.1587
=0.8185
=
=81.8%
Hence 81.8% percent of the numbers fall between 35 and 50