Two friends natasha and tricia share a sum of money in the ratio 5:3 respectively .if tricia share is $126.75 calculate the tota
1 answer:
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Sam divided a rectangle into 8 congruent rectangles that each have a area of 5 cm2. what is the area of the rectangle before it is divided?
Answer:
Step-by-step explanation:
Given:
Sam divided a rectangle into 8 congruent rectangles that each have an area of
We need to find the area of the rectangle before Sam divided it.
The area of the rectangle before Sam divided is 8 times of the area of the congruent rectangles.
Area of the rectangle =
Area of the congruent rectangle is
So the area of the rectangle is
Area of the rectangle =
Area of the rectangle =
Therefore the area of the rectangle before divided is
Answer:
Step-by-step explanation:
Simplifying the fraction by multiplying d into the (n-1) term,
Simplifying the fraction by multiplying 2 throughout,
Multiply on both sides
Cancel the on the right hand side
Multiply s to the terms,
Move to the right hand side by subtracting
on both sides
On the right hand side of the equation, take out
Divide Left hand side by ,
Answer:
2^n
Step-by-step explanation:
So whenever you flip a coin, you can see it as 2 nodes branching off of each existing node. so for example when you flip a coin once you're going to have 2 sequences initially H and T, now when you flip a coin again for each of those 2 sequences 2 are going to branch off of that, making the total sequences 4, and the next flip 2 sequences are going to branch off each of the 4 sequences and so on. this can generally be described as: 2^n
I attached an image describing this a bit better but the bottom line is that for each 'end node'/sequence you're going to have 2 branch off of it, thus for each coin flip the number of sequences multiplies by 2
