Answer:
Hector's kite is 61.84 feet from the ground.
Step-by-step explanation:
The angle of elevation of the kite is 42°15’30” when converted to decimals, it is
≅ 
Let the height of the kite to the horizontal of angle of elevation be represented as x. Applying the trigonometric function to the sketch of Hector's kite,
Sin θ = 
Sin
= 
⇒ x = 86 x Sin 
= 86 x 0.6725
= 57.835
x ≅ 57.84 feet
The height of Hector's kite from the ground = x + 4
= 57.84 + 4
= 61.84 feet
The answer is a) equilateral triangle. If you want to inscribe a hexagon inside a circle, the tools or constructions that should be used is 6 equilateral triangles. If you draw a hexagon inscribed in a circle and draw radii to the corners of the hexagon, you will create triangles, six of them.<span>
</span>
Answer:
D. {(2,3) (2,5) (4,7)}
Step-by-step explanation:
2 has an output od 3 and 5, and 4 has an output of 7
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.
<u>answers to 1 - 4:</u>
1.<em> </em><em>GCF: </em>2
2. <em>GCF:</em> 3
3. <em>GCF : </em>7
4.<em> GCF:</em> 3