Answer:
63.44 feet
Step-by-step explanation:
tan(68 degrees)= 85/y
y tan (68 degrees)=85
y=85/tan(68 degrees) ( cross multiply)
y = 34.34 feet
tan (41 degrees)=85/x+y
(x+y)tan(41 degrees)=85
x+y=85/tan 41 degrees
x=85/tan(41 degrees) - y
x= 85/tan (41 degrees)-(34.34) (cross multiply)
Therefore, Travis stepped back 63.44 feet to gain a better view!
Answer:
BE = FC = 3 inches, EF = 2 inches
Step-by-step explanation:
The sum of angles A and D is 180°, so the sum of their half-angles is 90°. That is, half of A plus half of B add to 90°, so the bisector from B intersects AE at a right angle. Call that point of intersection X.
Then angle ABX = angle EBX, so triangle ABX is congruent to triangle EBX. Sides AB and BE are corresponding sides of congruent triangles.
The same argument applies to sides DC and CF.
Thus we have BE = CF = 3 inches, and EF is the left-over distance, 2 inches.
Answer:
The probability of Javier volunteers for less than three a month is 25%
Step-by-step explanation:
According to the questions,
The probability of Javier to attend exactly 5 events :-
P ( x = 5 ) = 25% =
The probability of Javier to attend exactly 4 events :-
P ( x = 4 ) =
The probability of Javier to attend exactly 3 events :-
P ( x = 3 ) =
The probability of Javier to attend exactly 2 events :-
P ( x = 2 ) =
The probability of Javier to attend exactly 1 events :-
P ( x = 1 ) =
The probability of Javier to attend no events :-
P ( x = 0 ) =
Now we have to calculate the probability of Javier volunteers for less than three P ( x < 3 ).
P ( x < 3 ) = P ( x = 0 ) + P ( x = 1 ) + P ( x = 2 )
P ( x < 3 ) = = = = 0.25 = 25 %.