Mr. grimm is trying to build a playground set in his backyard. part of the playground set will have a slide. the ladder is 5 feet tall, and the slide is 7 feet long. what is the distance between the ladder and the bottom of the slide? round your answer to the nearest tenth.

4.9 ft

Step-by-step explanation:

The Pythagorean Theorem tells us that the sum of the square of each leg in a right triangle is equal to the square of the hypotenuse. It can be written as:

Where

The picture of the problem is attached.

Now, using pythagorean theorem, we can write (letting the distance from base of ladder to base of slide be ):

Now solving for :

Hence, the distance between the ladder and the bottom of the slide is 4.9 ft (rounded to the nearest tenth)

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.