Hello from MrBillDoesMath!
Answer: 2
Description. Create a line from point A perpendicular to the x axis. This line, with the radius (OA) , and x axis, form a right triangle. By Pythagoras,
x-length y-length hypotenuse squared
( 3 ^ (1/2) ) ^ 2 + 1 ^ 2 = 3 + 1 = 4
So, the square of the hypotenuse (or radius OA in this case) is 4. That means OA is the square root of 4 or 2.
Regards, MrB
Together it would take 3 hours.
Team A can wrap all gifts in 7 hours; thus they can wrap 1/7 of the gifts in 1 hour.
Team B can wrap all gifts in 5 hours; thus they can wrap 1/5 of the gifts in 1 hour.
1/7h + 1/5h = 1, where h is the number of hours; it equals 1 because it is 100% of the gifts;
Find a common denominator. 35 is the first thing 7 and 5 will both divide into. Convert the fractions:
5/35h + 7/35h = 1
12/35h = 1
Divide both sides by 12/35:
12/35h ÷ 12/35 = 1 ÷ 12/35
h = 1/1 ÷ 12/35
h = 1/1 × 35/12
h = 35/12
h = 2.9
h ≈ 3
Answer:
1/28
Step-by-step explanation:
