Let m = the total number of medals.
To find the total number of medals we can use either of the clues they gave us.
If Tara's team received 8 medals and that was 1/3 of the medals. That must mean that:
m x 1/3 = 8
What number divided by 3 is 8? Well, that is 24. Thus, the total number of medals is 24.
Note: we can check to see if 1/2 of 24 is 12, the total number of medals Jennifer team received, and it checks out!
Answer:
the factor is this problem is
7(9 - 5)
Step-by-step explanation:
Answer should be 12 3 times 4-2 is 6 times 2 is 12
Answer:
Step-by-step explanation:
Given voltage of primary coil is 
And voltage of secondary coil is 
A transformer is a device that contains primary and secondary coil. These coils are mounted on soft iron. The change in voltage depends upon the number of turns of primary coil 
and secondary coil 
.
Following equation represents the relation between them.
Then, ratio of the number of wire turns on the primary coil to the number of turns on the secondary coil is
9514 1404 393
Answer:
2√30 ∠-120°
Step-by-step explanation:
The modulus is ...
√((-√30)² +(-3√10)²) = √(30 +90) = √120 = 2√30
The argument is ...
arctan(-3√10/-√30) = arctan(√3) = -120° . . . . a 3rd-quadrant angle
The polar form of the number can be written as ...
(2√30)∠-120°
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<em>Additional comments</em>
Any of a number of other formats can be used, including ...
(2√30)cis(-120°)
(2√30; -120°)
(2√30; -2π/3)
2√30·e^(i4π/3)
Of course, the angle -120° (-2π/3 radians) is the same as 240° (4π/3 radians).
__
At least one app I use differentiates between (x, y) and (r; θ) by the use of a semicolon to separate the modulus and argument of polar form coordinates. I find that useful, as a pair of numbers (10.95, 4.19) by itself does not convey the fact that it represents polar coordinates. As you may have guessed, my personal preference is for the notation 10.95∠4.19. (The lack of a ° symbol indicates the angle is in radians.)
