Before rock climing, fernando, who is 5.5 ft tall, wants to know how high he will climb. he places a mirror on the ground and walks six feet backwards until he can see the top of the cliff in the mirror.

31. 16 ft

Step-by-step explanation:

The other part of the question is:

If the mirror is 34 feet from the cliff side, determine the height of the cliff.

We can solve this problem with geometry, if we imagine two righ triangles (figure attached):

-One formed by Fernando, who is 5.5 ft tall, and the ground

-The other formed by the height of the cliff, the cliff side and the ground.

In addition both triangles are congruent, hence we can use the following relation to find :

Iolating :

This is the height of the cliff

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

8

step-by-step explanation:

to find the amount of gift bags to use all the supplies, find the gcf or greatest common factor. this is the largest number which multiplies evenly into each term.

48 has factors: 1, 2, 3, 4, 6, 8, 12. 16, 24, 48

80 has factors: 1, 2, 4, 5, 8, 10, 16, 20, 40, 80

64 has factors: 1, 2, 4, 8, 8, 16, 32, 64

the highest number factor they all share in common is 8. this means there will be 8 bags with 6 pencils, 10 markers, and 8 stickers in each bag.