1. infinite sollutions 2. Infinite sollutions i think
The first hexagon: 2, 2, 3, 4, 6, 7
The second hexagon: 3, 3, a, b, c, d
The hexagons are similar. Therefore the sides are in proportion.
multiply both sides by 3
multiply both sides by 4
multiply both sides by 6
multiply both sides by 7
The perimeter:
6/7 divide by 3/14
Divide = multiply reciprocal
6/7 * 14/3 = 84/21 = 4
She can paint 4 pictures in a full hour
4 is the whole number equivalent. When dealing with an improper fraction or one that is "top heavy" you take the denominater (the bottom number) unto the numerator.
Two(2)goes into 8, 4 times, making it whole!
Here you would use right triangle trig (SOH CAH TOA)
So first draw a right triangle. Imagine youre standing at the angle opposite the right angle which is the one on the ground.This angle is the 41°. Now Imagine the balloon is as the angle above the right triangle. Well since the balloon is 1503 m from his location this would be the hypotenuse. SInce we are trying to find the height (x) we would use sine since
sine = opposite/hypotenuse . Now lets solve make sure calculator is in degree mode:
sin41 = x/1503 multiply both sides by 1503 to cancel it out
1503sin41 = x plug into calculator
x = 986.057 ft
The balloon is 986.057 feet above the ground.
