Answer:
it is 40pi
Step-by-step explanation:
pi r^2 and you have 144 degrees shaded which is 40% of the circle.
You find the total volume to be 100pi and you divide by .4 (40%) to get 40pi as your answer
The measures of the angles are 59 degrees
<h3>How to determine the value of the angles?</h3>
The angles are given as:
Angle 1 = 2x + 17
Angle 2 = 3x - 4
By the interior angle theorem, the angles are congruent
So, we have
Angle 1 = Angle 2
Substitute the known values in the above equation
2x + 17= 3x - 4
Collect the like terms
3x - 2x = 17 + 4
Evaluate the like terms
x = 21
Substitute x = 21 in Angle 1 = 2x + 17
Angle 1 = 2 * 21 + 17
Evaluate
Angle 1 = 59
This means that
Angle 1 = Angle 2 = 59
Hence, the measures of the angles are 59 degrees
Read more about angles at:
brainly.com/question/25716982
#SPJ1
Answer:
96
Step-by-step explanation:
First, you find the area of RPQ using 1/2×base×height. That is, 1/2×6×8. And the answer is 24. Then you multiply 24 by 4 to get the area of all the sides excluding the base to get 96.
Answer:
The center of the plot is at $36 rather than $37
Center = $ 36
Step-by-step explanation:
The description by Margot is accurate except for the following observation
From the dot plot there are 31 dots, therefore, the center should be at the median mark of the dot plot of the graph which is the 16th dot.
By looking at the dot plot it is observed that both 16th dot and the middle of the cluster are located on the $37.
That is the point where Margot make an error is defining the center as $37, where the center is observed to be $36.
