Answer:
The volume of the irregular figure would be 144 
.
Step-by-step explanation:
If you wish to make the process of calculating the volume easier, you can picture the irregular figure as two rectangular prisms: the large one on the bottom, and the smaller one appearing to protrude from the prism below it. Using this method, you only need to find the volumes of the two rectangular prisms and add the values together to get the volume for the irregular figure. The formula used to find the volume of a rectangular prism is 
, where 
, 
, and 
, represents the length, width, and height of the rectangular prism respectively. Using the formula above, the volume of the larger rectangular prism would be 12 * 3 * 3 = 12 * 9 = 108 , and the volume of the smaller rectangular prism would be 4 * 3 * 3 = 12 * 3 = 36 . So the volume of the entire irregular figure would be 108 + 36 = 144 .
The standard forrm equation of the circle is (x-h)² + (y-k)² = r²
where h,k : x,y-coordinate of the center
r : radius of the circle
Get the center of the circle : h = (x1 + x2)/2 = (9+5)/2 = 7
k = (y1 + y2)/2 = (4+2)/2 = 3
=> the center is (7,3)
Because the given information gave 2 endpoints so we can choose one of these, then use the distance formula to get the radius
r = √(x1 - h)² + (y1 - k)²
r = √(9 - 7)² + (4 - 3)²
r = √2² + 1²
r = √5
Finally, the equation of the circle is (x - 7)² + (y - 3)² = (√5)²
(x - 7)² + (y - 3)² = 5
Answer:
Part A: 4,300 ≥ 2500 + 0.12s
Part B: Less than or equal to $15,000
Part C: In the image
Step-by-step explanation:
For Part A: The total needs to be at least 4,300. So 4,300 is greater than or equal to how much she earns. 2,500 is the base pay, and it is added to 0.12s, which represents 12% of sales (s).
For Part B:
Using the inequality, solve for s
4,300 ≥ 2500 + 0.12s
Subtract 2500 from both sides
1800 ≥ 0.12s
Now divide both sides by 0.12 to isolate s
15000 ≥ s
So sales must be less than or equal to 15000.
Part C:
Hey there!!
Multiply both the sides with 4/3.
Then we get
x = 5 ^ 4/3
x = 8.5 ( avg. )
Hope it helps!
