Pennies (P) = 24
Nickels = 1/2P
Dimes = 1/2P + 5
Quarters = (1/2P + 5) -6
Therefore...
Nickels = 1/2P = 1/2(24)= 12
Dimes = 12 + 5 = 17
Quarters = 17 - 6 = 11
Answer:
x = 17
, y = 34
Step-by-step explanation:
Since the triangle is right use trig ratios to find x and y
note exact values sin30° =
, tan30° = 
sin30° =
= 
multiply both sides by y
y sin30° = 17 ( divide both sides by sin30° )
y =
= 34
tan30° =
= 
multiply both sides by x
x tan30° = 17 ( divide both sides by tan30° )
x =
= 17
Answer:
d) 27
Step-by-step explanation:
The expanded form of (a+b)³ is ...
(a +b)³ = a³ +3a²b +3ab² +b³
When we are expanding (x +3)³, the x-term is ...
3(x)(3²) = 27x
The coefficient of x in the expansion is 27.
Y= k/x
When y=42, x=6
42= k/6
k= 42x6
=252
When x=9,
y= 252/9
= 28