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For question 4, units,
For question 5, units.
Step-by-step explanation:
Step 1:
Since the given polygons are similar to each other, all the ratios of one polygon to the other will remain equal for all the values of the two similar polygons.
We take the ratio of the same sides of both polygons i.e. the ratio of the lengths or the ratio of the widths.
Step 2:
For question 4, the first rectangle has a length of 9 units while the width is 3 units.
For the second rectangle, the length is x as x is greater than the width in the first rectangle. The width is 6 units.
The ratio of the first rectangle to the second is;
So
units.
Step 3:
The shapes in question 5 are made of a square and a triangle.
For the first shape, the side length is 6 units while the side of the triangle is 10 units.
For the second shape, the side length is 5 units while the side of the triangle is x units.
The ratio of the first shape to the second is;
So
units.
Answer:
The required recursive formula is
Step-by-step explanation:
Mohamed decided to track the number of leaves on the tree in his backyard each year.
The first year there were 500 leaves
Each year thereafter the number of leaves was 40% more than the year before so that means
For the third year the number of leaves increase 40% than the year before so that means
Similarly for fourth year,
So we can clearly see the pattern here
Let f(n) be the number of leaves on the tree in Mohameds back yard in the nth year since he started tracking it then general recursive formula is
This is the required recursive formula to find the number of leaves for the nth year.
Bonus:
Lets find out the number of leaves in the 10th year,
So there will be 10330 leaves in the 10th year.