A boat sailing at a speed of 35 mph set to head due west encounters a wind blowing 15 mph due south. What is the approximate resulting speed of the boat?

38.08mph

Step-by-step explanation:

The question tells us that the speed of

Speed of boat = 35mph

Wind blowing = 15mph

We have to use the pythagorean theorem in other to find the resulting speed.

So,

Speed² = 35² + 15²

Such that

Speed = √35² + 15²

Speed = sqr(1225 + 225)

Speed = sqr(1450)

Speed = 38.08

The approximate resulting speed of the boat is therefore 38.08mph

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.

i believe the answer is the polygon, heptagon.