Answer:
Fred is 28 yrs old. Nathalie is 12yrs old
Step-by-step explanation:
Let Nathalie's age be x
Let Fred's age be a
x+a=40 yrs•••••1
4x+a=76yrs•••••2
a=40-x
Substitute a for 40-x in equation (2)
4x+40-x=76
3x=76-40
3x=36
x=12
a=40-12
a=28
The sum of the convergent series
is 5.31
For given question,
We have been given a series 
We need to find the sum of given convergent series.
Given series is a geometric series with ratio r = sin(1)
The first term of the given geometric series is 
So, the sum is,
= 
= sin(1) / [1 - sin(1)]
This means, the series converges to sin(1) / [1 - sin(1)]

=
= 
= 
= 5.31
Therefore, the sum of the convergent series
is 5.31
Learn more about the convergent series here:
brainly.com/question/15415793
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Answer:
x²+8x+16
Step-by-step explanation:
f(x) = (x+4)²
= (x+4)(x+4)
= x² + 4x + 4x + 16
= x² + 8x + 16
Answer:
A
Step-by-step explanation:
let the number be x, then
the difference of x and 6 is x - 6 and
5 times the sum of x and 2 is 5(x + 2)
Equate both expressions
5(x + 2) = x - 6 ← distribute left side
5x + 10 = x - 6 ( subtract x from both sides )
4x + 10 = - 6 ( subtract 10 from both sides )
4x = - 16 ( divide both sides by 4 )
x = - 4 → A
Answer:
B2--> the answer is 121 degrees.This is because due to alternate interior angles, the triangle