11.
Every handshake takes 2. If no one shakes hands twice with another, there are 10+1 total people shaking hands (11).
Name them 1 thru 11. Make a line and 11 goes down the line and shakes 10 hands and then leaves. 10 then shakes 9 hands and leaves. 8 then shakes 7 hands and leaves. Etc. 2 shakes hands with 1 and leaves. 1 just leaves.
11— 10 hs
10— 9 hs
9— 8 hs
8— 7 hs
7— 6 hs
6— 5 hs
5— 4 hs
4— 3 hs
3— 2 hs
2— 1 hs
1— leaves
Total handshakes 55, total people 11.
Answer: Step-by-step explanation:
angle 1=41°
angle 2=angle 1=41°
angle 3=180-2×41=98
P+q= 5x^2+2
q-p= -(x-2) (x+2)
Answer: the distance of the base of the house to the foot of the ladder is 6.84 feet
Step-by-step explanation:
The scenario is shown in the attached photo.
Right angle triangle ABC is formed when the ladder leans against the wall of the house.
AC = the height of the ladder
AB = x feet = distance of the base of the house to the foot of the ladder
BC is the wall of the building.
To determine x, we will apply trigonometric ratio
Cos # = adjacent/hypotenuse
Where
# = 70 degrees
Hypotenuse = 20
Adjacent = x
Cos 70 = x/20
x = 20cos70
x = 20 × 0.3420
x = 6.84 feets
So, You cross multiply and get 56x=244(100). Simplify and you get 56x=24400. Divide each side by 56 and you get 435.71. 56% of about 435.71 is 244.