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°
3xy
<span>y(3y)/3xy + y(xy)/3xy + (y+1)(3x)/3xy </span>
<span>NOW since all of the fractions have a denominator of 3xy, drop the denominators and solve using the numerators. </span>
<span>y(3y) + y(xy) + (y+1)(3x) </span>
<span>3y^2 + xy^2 + 3xy +3x </span>
<span>cannot simplify further.</span>
The sequence is
740, 707.60,675.20,642.80,...
Here first term is 740, and common difference, d is

Now we use the formula of nth term, which is

Substituting the values of a,n and d, we will get

Correct option is the second option .
There were 30 packages of cucumber and 50 packages of tomatoes.
Work)
2x+1.5y=135
x+y=80