If P has Cartesian coordinates (7, pi/3), then its Polar coordinates are (square root of ((7)^2 + (pi/3)^2) , arcton (pi/21))
<u>Explanation</u>:
The given coordinates (
7
, π
/3
) look as if they are already in polar form (radius = 7
, and angle = π/3).
but in case (
7
, π
/3
) really are Cartesian coordinates (i.e. (
x
,
y
) =
(
7
, π/3
)
)
The radius is given by √(
x /2 + y/
2) and the angle by the arctan (
y
,x
).
Answer:
15 hours
Step-by-step explanation:
To solve this you start by setting up the proportion: = . This is because we want to know if 3 hours is 20 percent, then how much is 100 percent.
Next we cross multiply to get 300 = 20x
Now we can divide both sides by 20 to get 15.
To check the work we can multiply 15 by .2 and we get 3, so we know it's correct.
Answer:
Consider the following calculations
Step-by-step explanation:
Since 1 Blimp uses 2 components of B and C each
=> choosing 2 components of B(remaining after using in other prototypes) for 1st model= 22C2
choosing 2 components of B(remaining after using in other prototypes) for 2nd model= 21C2
choosing 2 components of B(remaining after using in other prototypes) for 3rd model= 20C2
choosing 2 components of B(remaining after using in other prototypes) for 4th model= 19C2
choosing 2 components of B(remaining after using in other prototypes) for 5th model= 18C2
and choosing 2 components of C(remaining after using in other prototypes) = 24C2
Similarly for C
P(5 prototypes of Blimp created)=[(22C2 / 25C2 )*(24C2 / 25C2 )] + [(21C2 / 25C2 )*(23C2 / 25C2 )]+[(20C2 / 25C2 )*(22C2 / 25C2 )]+[(19C2 / 25C2 )*(21C2 / 25C2 )]+[(18C2 / 25C2 )*(20C2 / 25C2 )]
Answer:
1.80
Step-by-step explanation:
He spent 1.20 on the gum in total. 3.00-1.20=1.80