Answer:
0.628 m (This is the correct answer but I cant find it in your options)
Step-by-step explanation:
Radius = 10 cm = 0.1 m
<u><em>Now, The circumference:</em></u>
=> Circumference = 
=> C = 2(3.14)(0.1)
=> C = 0.628 m
Answer:
Total cards in a deck=52
Face cards =12
So probability of picking a face card is 12/52=3/13
Step-by-step explanation:
Usually there are 12 face cards in a group, so that would be 12/52 -- but wait! You can simplify, always. check. for. simplifying. possibilities.
Usually in an answer they will include both simplified, and not simplified. Believe it or not, usually they ask for the simplified. Make sure you read carefully.
Answer:
The distance of the overpass above the ground is approximately 26.795 ft
Step-by-step explanation:
The parameters given are;
The distance from the overpass the engineer stands before determining the angle of elevation of the overpass from his standing point = 100 ft
The angle of elevation of the overpass as determined by the engineer from 100 ft = 15°
By trigonometric ratios, we have;

The opposite side to the 15° angle of elevation in the above case is the distance of the overpass above the ground
The opposite side to the 15° is the distance of the engineer from the base of the overpass
Therefore;
Tan(15°) the height of the overpass=
length

The distance of the overpass above the ground = 100 × tan (15°) ≈ 26.795 ft.