Let's see
In ∆ABE and ∆CBE
- BE=BE(Common side)
- AE=EC[Diagonals of a parallelogram bisect each other]
- <AEB=<BEC[90°]
So by
SAS congruence the triangles are congruent
AB=BC
Fact:-
It's already given AC is perpendicular to BD
- It means diagonals are perpendicular to each other
According to general property of rhombus this parallelogram is also a rhombus.
So sides are equal hence AB =BC
Answer:
I'll setup the problem, then you can do the calculations
Step-by-step explanation:
Perimeter = 2width(W) + 2length (L)
Area = LW
L = 2.5 + 2W
LW = 62.5
substitute L in equation for area

a = 2; b = 2.5; c = 62.5
send a comment if you have a question
Assume the parabola is placed on a graph where the x-axis is the top of the dish.
The vertex is then at (0,-30) The x-intercepts or zeros are at (-30,0) and (30,0)
The equation of such parabola would be:

Plug in vertex to find value of 'a'

Now find the focus given that


Answer: the microphone should be placed 7.5 inches from vertex.
Answer:
13.125 in³
Step-by-step explanation:
So first convert all the numbers to decimal form. 3/2 converts to 1.5. 7/2 converts to 3.5. 5/2 converts to 2.5.
Now for the actual math. Take 1.5×3.5=5.25. Then take your new number and multiply it by 2.5. 5.25×2.5=13.125.
the first one is the answer to #1
and the second one is the answer to #2