Plug in the point (1,6) into each answer choice.
A) f(n) = 5n - 1
f(1) = 5(1) - 1 = 5 - 1 = 4
(1,4) ≠ (1,6)
Answer choice A is incorrect.
B) f(n) = 5n + 1
f(1) = 5(1) + 1 = 5 + 1 = 6
(1,6) = (1,6)
Answer choice B is correct.
C) f(n) = 4n + 3
f(1) = 4(1) + 3 = 4 + 3 = 7
(1,7) ≠ (1,6)
Answer choice C is incorrect.
D) f(n) = 4n - 3
f(1) = 4(1) - 3 = 4 - 3 = 1
(1,1) ≠ (1,6)
Answer choice D is incorrect.
Your answer is B) f(n) = 5n + 1
Firstly, you've got to expand the brackets, this becomes;
8a-4= -10a+ 50
You've then got to eliminate the -10a and you do this by adding 10a to both sides,
This then becomes 18a-4=50
You've then got to add 4, to eliminate this, which then becomes 18a=54
You've then got to divide both sides by 18, and this becomes 3.
Therefor, a=3
Hope this helps :)
Answer:
see explanation
Step-by-step explanation:
We require to find the third side of the triangle.
Using Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides.
let x represent the third side, then
x² + 15² = 17², that is
x² + 225 = 289 ( subtract 225 from both sides )
x² = 64 ( take the square root of both sides )
x = 
= 8
Thus
tanΘ = 
= 
cosΘ = 
= 
sinΘ = 
= 
cscΘ = 
= 
= 
We know that
[LA]=pi*r*l
where
LA is the lateral area of the cone
r is the radius
l is the slant height
l=LA/(pi*r)
r=15.1 cm
LA=555*pi cm²
l=(555*pi)/(pi*15.1)----> l=36.75 cm
the answer is
the slant height is 36.75 cm
