Answer:
Therefore the Area of Rhombus ABCD is 36 unit².
Step-by-step explanation:
Given:
ABCD is a Rhombus
A = (-1,0)
B = (5,-3)
C = (-1,-6)
D = (-7 ,-3)
To Find:
Area of Rhombus ABCD = ?
Solution:
We know that Area of Rhombus is given as
Where ,
d₁ and d₂ are the Diagonals.
We have,
Diagonals as AC and BD,
Using Distance Formula we get
Substituting coordinates A and C we get
Similarly for BD we have,
Now Substituting AC and BD in Formula we get
Therefore the Area of Rhombus ABCD is 36 unit².
The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].
<h3>What are the domain and range of the function as given in the task content?</h3>It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.
Also, the range of a function is the set of all possible output values for such function.
On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].
While the range is the difference between the minimum and maximum height attained and can be computed as follows;
At minimum height, t = 0; hence, h(t) = 0.
At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.
Hence, h(1.92) = 18.05.
The range is therefore; [0, 18.05].
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