Answer:
The number of unique rhombuses that can be constructed is one.
Step-by-step explanation:
A rhombus is a 2D shape with 4 straight sides that are all equal length. Also opposite sides are parallel and opposite angles are equal.
The addition of the 4 angles in a rhombus is equal to 360°. We know that one angle is 40°, its opposite angle is also 40°, then the addition of the other 2 angles (which are equal) is 360° - 2*40° = 280°. The other 2 congruent angles measure 140°.
If you have the length of one side (8 cm in this case), you have the length of all sides.
In conclusion, with one side and one angle a rhombus is completely defined and it's unique.
Answer:
5
Step-by-step explanation:
I'm assuming you want to find the maximum value of y
recall that for any cosine function y = A cos ( g(x) ), where g(x) is any arbitrary function, that A represents the amplitude of the cosine function.
By definition, the amplitude is the maximum the value which the cosine term can take.
hence for your expression:
y= -1 + 6 cos ( 2π/7(x-5) )
max value of y = -1 + (max value of cosine function)
max value of y = -1 + (amplitude of cosine function)
max value of y = -1 + 6 = 5
Given:
The function is:
To find:
The initial value of the function.
Solution:
We have,
The value of the function at x=0 is called the initial value of the function.
For x=0, we get
Clearly 0.88 is a non zero number and zero to the power of a non zero number is always 1.
Therefore, the initial value of the function is 350.
(0,6) and (8,8)
slope = (8-6)/(8-0) = 2/8 = 1/4
answer
1/4
