Answer:
10
Step-by-step explanation:
Answer:
The unit circle centered at the origin in the Euclidean plane is defined by the equation:

Given an angle , there is a unique point P on the unit circle at an angle θ from the x-axis, and the x- and y-coordinates of P are:

Consequently, from the equation for the unit circle:
the Pythagorean identity.
Answer:
$54.6
Step-by-step explanation:
Amount borrowed = $560
Interest paid in the 12-month period = 6.5% of 560 =$36.4
The amount of interest Trudy pays in 18 months is worked out as
Monthly interest = $36.4/12
Interest payable in 18 months
= ($36.4/12) x 18
= $54.6
Step-by-step explanation:
In a standard deck of 52 cards, there are 2 red aces, 2 red Queens, and 13 spades. That leaves 35 cards for everything else.
For the game to be fair, the cost must equal the expected value. The expected value is the sum of each outcome times its probability.
C = (12) (13/52) + (20) (2/52) + (38) (2/52) + (0) (35/52)
C = 68/13
C ≈ 5.2308
For this case we have that by definition, the density is given by:

Where:
M: It is the mass of the diamond
V: It is the volume of the diamond
According to the data of the statement we have:

So the volume is:

Thus, the volume of the diamond is approximately 
Answer:
