A30 foot pole is supported by two wires that extend from the top of the pole to points that are each 8 feet from the base of the pole. find the total length of the two wires. round to the nearest tenth, if necessary.

31.05 feet  

Step-by-step explanation:

Hi, to answer this question we have to apply the Pythagorean theorem since the situation forms a right triangle. (the pole and the ground form a 90° angle).

x ^2= 30 ^2 + 8^2

Where x is the length of the wires.

Solving for x:

x ^2 = 900+64

x^2 = 964

x = √964

x = 31.05 feet  

Feel free to ask for more if needed or if you did not understand something.

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.