Answer:
2 - 
Step-by-step explanation:
Using the addition formula for tangent
tan(A - B) = 
and the exact values
tan45° = 1 , tan60° = , then
tan15° = tan(60 - 45)°
tan(60 - 45)°
= 
= 
Rationalise the denominator by multiplying numerator/ denominator by the conjugate of the denominator.
The conjugate of 1 + is 1 -
= 
← expand numerator/denominator using FOIL
= 
= 
= 
+ 
= 2 -
Answer:
166.72
Step-by-step explanation:
A= 2(wl+hl+hw)
A= 2(3.2×8.5+4.8×8.5+4.8×3.2)
A= 2(27.2+40.8+15.36)
A= 2(83.36)
A= 2×83.36
A= 166.72
Answer:
8!=40320
Step-by-step explanation:
SInce their are 8 athletes and 8 positions we can assume this: The first sprinter has 8 positions to end in, the next has 7 places to finish in, the third has 6 places and so on... Using this we can multiply these possibilities to find that the possibilities are 8×7×6×5×4×3×2 which results in 40320 (this function is known as a factorial and denoted !).
Answer:2 hrs
Step-by-step explanation:
x+2x+3x=12
6x=12
x=2
Answer:
y = 9x cents
y = (36 + 3x) cents
Step-by-step explanation:
Given that:
Newtown telephone company :
Fee per minute = 9c
Tyrus company :
Fee per minute = 3c
Connection fee = 36c
Cost equation :
y = total cost for each phone call:
x = minutes phone call last ;
Newton Company :
y = (fee per minute * minute phone call last)
y = 9 * x
y = 9x cents
Tyrus Company:
y = (connection fee + (fee per minute * minute phone call last))
y = (36 + (3 * x))
y = (36 + 3x) cents
