Answer:
The length of the ladder is 14.5 ft
Step-by-step explanation:
For a right triangle
sinx = opposite / hypotenuse
Since we know the angle and the opposite side, we can calculate the hypotenuse
sin 64 = 13/ hypotenuse
Multiply each side by the hypotenuse
hypotenuse * sin 64 = 13
Divide by sin 64
hypotenuse = 13/sin 64
hypotenuse=14.4638
Rounding to the nearest tenth
14.5
Answer:
9 meter.
Step-by-step explanation: 4 1/2 meters is too short, he would have to buy 2 lengths. 4 1/2 meters is 450 cm while 9 meters is 900 cm, if he gets the 900 cm length he can just cut off the excess to use later.
Answer:
74.4°
Step-by-step explanation:
Given
- ∠G=90° => ΔEFG is a right triangle
- EF = 95 feet
- FG = 26 feet
Use sine law to find ∠F
As we know:
Sin(GEF)/ GF = Sin(EGF)/EF
<=> Sin(GEF) / 26 = Sin(90)/95
<=>Sin(GEF) / 26 = 1/95
<=> Sin(GEF) = 26/95
<=> ∠GEF ≈ 15.8°
=> ∠F = 180° - ∠G - ∠GEF
∠F = 180° - 90° - 15.8° = 74.4°
Answer:
The answer is C.
Step-by-step explanation:
The number between 0 and 1. Think of decimals as cents, 100 cents makes a whole. So the number will be greater than 0 but less than 100.
Answer:
be the second player, and always leave a multiple of 3 balloons
Step-by-step explanation:
In order to win, a player must force the other player to leave one or two balloons. To do that, the winning player must leave one more balloon than the maximum number that can be popped. That is, the winner will be the player who leaves 3 balloons,
Working backward, we find that the winner must leave a multiple of 3 after each turn. Since the starting number is a multiple of 3, the first player must lose if the second player plays optimally.
The winning strategy is ...
- be the second player
- always leave a multiple of 3 balloons.