Answer:
The area is approximately 30.69 cm^2.
Step-by-step explanation:
To solve this problem, we first have to recognize that the side of the block is a rectangle with a semicircle missing. This means that to find the area, we must find the area of the rectangle and then subtract the area of the semicircle. Using the respective formulas, we get the following expression for area:
A = (length * width) - (1/2*pi*r^2)
Now, we must plug in the given values shown in the figure. The length is 9 cm, the width is 4.5 cm, and the diameter is 5 cm. However, the formula asks for the radius, which is simply half of the diameter, or 2.5 cm.
A = (9 cm * 4.5 cm) - (1/2 * 3.14 * (2.5 cm)^2)
Next, we should perform the operations indicated inside the parentheses.
A = 40.5 cm^2 - 9.81 cm^2
Finally, we can subtract the two values (this represents taking away the area of the semicircle from the rectangle).
A = 30.69 cm^2
Therefore, the area of the side is approximately 30.69 cm^2.
Hope this helps!
Answer:
18/5 = 3.6 (note that 3/2 = 1.5 )
the actual division is 3.387
Step-by-step explanation:
The correct answer is 10/15, simplified to 2/3.
Answer:
204
Step-by-step explanation:
i took the test
Answer:
The complex number 
has Cartesian form
.
Step-by-step explanation:
First, we need to recall the definition of 
when 
is a complex number:
.
Then,
. (I)
Now, recall the definition of the complex exponential:
.
So,
(we use that 
.
Thus,
Now we group conveniently in the above expression:
.
Now, substituting this equality in (I) we get
.
Thus,
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.
