Answer:
b
Step-by-step explanation:
Answer:
2960 ft.........is the difference between -40ft and 3000ft
Word form-five hundred six thousand,seven hundred nine
Expanded form-500,000+6,000+700+9
Answer:
a. 80.83 ft b. 40.42 ft
Step-by-step explanation:
Let h = height of pole = 70 ft, L = length of cable and x = distance of cable on ground to pole and Ф = angle between cable and ground.
a) How long is the cable?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and L being the hypotenuse side, by trigonometric ratios,
sinФ = h/L
L = h/sinФ
L = 70 ft/sin60°
L = 70 ft/0.8660
L = 80.83 ft
b) How far from the pole should the cable be attached to the ground?
Since L, h and x form a right-angled triangle with angle Ф and h being the opposite side to Ф and x being the adjacent side, by trigonometric ratios,
tanФ = h/x
x = h/tanФ
x = 70 ft/tan60°
x = 70 ft/1.7321
x = 40.42 ft
Answer:
0.001145
Step-by-step explanation:
Given that you are certain to get 3 jacks when selecting 51 cards from a shuffled deck.
When we draw 3 cards from 51 cards, we keep one card aside
The card can be either Jack or non Jack
Prob (the left over card to be Jack) = P(A) = 
Prob (the left over card to be non jack ) = P(B) = 
A and B are mutually exclusive and exhaustive
Let drawing 3 Jacks be the event C
P(C) = P(AC)+P(BC)
P(BC) = P(B)*P(C/B)\\
= \frac{28}{52} (4/51C3)\\
=1.034(10^{-4}
Adding we get
P(C)
= 
