Answer:
Option B 
Step-by-step explanation:
we know that
The area of the rectangle room, is equal to

where
L is the length
W is the width
we have


Remember that
1 yard= 3 feet
Convert yards to feet


The area is equal to

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Answer:
x = 15°
Step-by-step explanation:
<u>We are given;</u>
sin(2x + 7) = cos(4x - 7)
We are required to solve for the value of x
- We need to know that for complementary angles;
Sin θ = Cos (90-θ) where, θ and 90-θ are complementary angles.
- Complementary angles are angles that add to 90°
- Therefore;
(2x +7) + (4x - 7) = 90
6x = 90
x = 15°
Therefore, the value of x is 15°
Answer: Real world problem is "A student have c toffee he distribute
th part of those toffees to his friends. He gave total 21 toffees to his friend".
Explanation:
Let a student have c number of toffees in his bag.
It is given that he distribute
th part of those toffees to his friends.
The
th part of c toffees is,

The total number of distributed toffees is 21.

It is the same as given equation.
If we change the equation in words it means the
th part of a number c is 21.
Answer:
Part A:

Part B:
Generations Age=25*39=975 years
Part C:
- Some ancestors on different branches of the family tree must be the same.
- There could not have been 39 generations in my line of ancestry.
Step-by-step explanation:
Given Data:
Two Parents, Four Grand Parents, Eight great Grand Parents.
Generation=39
Solution:
Part A:
From given data Following series is made:

Now, Above series will become:
![2[1+2+2^2+......+2^{38}]](https://tex.z-dn.net/?f=2%5B1%2B2%2B2%5E2%2B......%2B2%5E%7B38%7D%5D)
From geometric Sequence:
![2[\frac{2^{38+1}-1}{2-1} ]](https://tex.z-dn.net/?f=2%5B%5Cfrac%7B2%5E%7B38%2B1%7D-1%7D%7B2-1%7D%20%5D)

Part B:
Generations Age=years*Number of generations
Generations Age=25*39=975 years
Part C:
Number of people lived= 10^11
Ancestors=

It means ancestors are not distinct, it means:
- Some ancestors on different branches of the family tree must be the same.
- There could not have been 39 generations in my line of ancestry.