(15√6 / √5)
<span>(15√6/√5) *(</span>√5/√5)
(15*√6*√5)/(√5*√5)
15*√30 / 5
3√30
Answer:
nCr = n! / (r!)(n-r!).
Step-by-step explanation:
That would be nCr = n! / (r!)(n-r!).
A quick way of working these out is as follows:
Take 7C4:
this is 7*6*5*4/4*3*2*1 Cancelling out the 4 and 3*2:
= 7*5
= 35.
15C12 = 15C(15-12)
= 15C3
= 15*14*13 / 3*2*1
= 5*7*13
= 455.
Answer:
c
Step-by-step explanation:
Answer:
- building: 222.61 ft
- flagpole: 32.15 ft
Step-by-step explanation:
The tangent function of an angle in a right triangle is the ratio of the opposite side to the adjacent side. Here, the adjacent side is 500 ft, so we have ...
tan(24°) = (building height)/(500 ft)
building height = (500 ft)tan(24°) ≈ 222.61 ft
__
Similarly, the height to the top of the flagpole is ...
total height = (500 ft)tan(27°) ≈ 254.76 ft
The length of the flagpole is the difference of these heights:
flagpole length = 254.76 ft -222.61 ft = 32.15 ft
The height of the building is 222.61 ft; the length of the flagpole is 32.15 ft.
