It's already reduced it remains as 69/80 because the is no greater common factor between the two.
The phase shift is the value of the angle when the variable
in the angle is zero.
The angle in the sin function in this equation is (pi X + 2).
When the variable 'X' is zero, the angle is 2 .
So the phase shift of this sin function is 2 (of whatever
the unit of the angle is ... 2 degrees, 2 radians, etc.)
The picture of the calendar is shown in the attached image.
Now, first we will get the volume of the calendar itself, we can note the calendar has the shape of a triangular prism.
Volume of triangular prism = area of base * depth
The area of base = area of triangle = 1/2 * base * depth
Therefore:
Volume of prism = 1/2 * base * height * depth
where:
base = 4 in
height is he height of the base = 6 in
depth is the depth of the calendar = 8 in
Therefore:
Volume of calendar = 1/2 * 4 * 6 * 8 = 96 in^3
Now, we are given that the volume of each candy is 2 in^3, this means that:
number of candies to fill the calendar = volume of calendar / volume of candy
= 96/2
= 48 candies
Hope this helps :)
Answer:
10 ft
Step-by-step explanation:
Use theorem pythagoras
Length = x

the answer is 10 because length can't be in negative number
X^2+5x=2
you then solve by completing the square using the formula (b/2)^2 in order to create the new term. Solve for x by using this term to complete the square.
Your answer is then
x=-5/2+-√33/2