To evaluate the given expression, we must follow the rules of PEMDAS (Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction) in solving.
Therefore, first calculate what's inside the parentheses:
(1619.2) / (8194.23)
Then perform the operation in between the parentheses:
<span>(1619.2) / (8194.23) = 0.20
</span>
Therefore the answer after evaluating the expression is 0.20.
I hope my answer has come to your help. Thank you for posting your question here in Brainly.
You can use this formula to solve this problem... it uses the surface area to find the volume.
V= (A^3/2)/(6√pi)
Substitute the surface area value into "A" and then solve as you would on paper. I'm sorry I couldn't show you the entire process but this should get you your answer. Plus if your teacher asks for work, I just set you up and everything else should be self explanatory.
But the answer is ----> 33.5 inches cubed
The surface area would be 166.
The value of x in the given sector is determined as 7.1.
<h3>Area of the sector</h3>
Total area of the sector = area of the shaded + area of the unshaded
Since shaded and unshaded areas are equal, the value of x is calculated as follows;
πr²θ/360 = πx²60/360 + πx²60/360
πr²θ/360 = 2(πx²θ/360)
πr² = 2(πx²)
r² = 2x²
x² = r²/2
x² = (10²)/2
x² = 50
x = √50
x = 7.1
Thus, the value of x in the given sector is determined as 7.1.
Learn more about area of sector here: brainly.com/question/22972014
#SPJ1
Rotation and translation are rigid transformations, they don't change figure sizes. Dilation change figure sizes increasing or decreasing them by scale factor.
First, find AB and A'B' by the formula:

As you can see AB=2A'B'. This means that the segment AB was decreased twice to form segment A'B'. Then the scale factor is 1/2.