Answer:
x = 36°
Step-by-step explanation:
interior angle of regular pentagon: 180 x (5-2) /5 = 540 / 5 = 108
∠C = 108
CD = CB ∠CDB = ∠CBD = (180 - ∠C) /2
x = (180 - 108) / 2 = 36°
Interesting that only integrals along the 
-axis are suggested when integrating along the 
-axis would be much simpler... Anyway, you have to split the interval of integration into two. The "height" of the region is not uniform over the entire interval.
When 
, we have 
. When 
, we have 
. Then the area we want is given by
which seems to agree with the last option.
Answer:
The altitude is changing at a speed of 200 √3 km/hr
Step-by-step explanation:
Here, we want to know how far the altitude of the plane is changing
we are told that the airplane makes an angle of 60 degrees with the ground
So therefore , the rate of change of its altitude will be ;
sin 60 = x/ 400
x = 400 sin 60
x = 400 * √3/2
x = 200 √3 km/hr
Answer:
i think its 96
Step-by-step explanation:
Answer:
f^(-1)(x) = -3x/(3x-3)
Step-by-step explanation:
1) replace f(x) by y
● y = 3x/(5x+3)
2) exchange x and y
● y = 3x/(5x+3)
● x = 3y / (3y +3)
3) solve for y
● x = 3y / (3y +3)
● x (3y +3) = 3y
● 3xy + 3x = 3y
● 3xy - 3y = -3x
● y (3x - 3) = -3x
● y = -3x /(3x-3)
4) replace y with f^(-1)(x)
● y = -3x/(3x-3)
● f^(-1)(x) = -3x/(3x-3)
