(x+1)^2+(y-2)^2=9
center:(-1,2)
radius:3
Answer:
Step-by-step explanation:
<u>Dimensions given:</u>
- l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ft
A small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
<u>Length</u>
- 2 1/4 : 1/4 = 9/4 * 4 = 9
<u>Width</u>
<u>Height</u>
- 1 1/4 : 1/4 = 5/4 * 4 = 5
Part A
<u>Number of small cubes would be:</u>
Part B
<u>Each small cube has volume:</u>
The volume of the prism in terms of small cubes is 180 as we found above.
<u>The volume in terms of unit cube:</u>
- V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³
<h2>
Answer:37 paintings of $50 and 15 paintings of $75</h2>
Step-by-step explanation:
Let
be the number of paintings Ella sells for $
.
Let
be the number of paintings Ella sells for $
.
Profit made through $
paintings is 
Profit made through $
paintings is 
So,total profit is given by 
It is given that total profit is $
So,
..(i)
Given that the total number of prints is 
So,
..(ii)
using (i) and (ii),


The two different ways of finding the area are,
Case 1 = assume horizontal rectangles,
Case 2 = assume vertical rectangles.
<h3>What is a rectangle?</h3>
the rectangle is a four-sided polygon whose opposites sides are equal and has an angle of 90° between its sides.
Here,
case 1,
As shown in the image
Area = sum of horizontal rectangles
Area = 10 * 3 + 2 * 5 + 2 * 1
Area = 30 + 10 + 2
Area = 42
Case II,
As shown in right figure,
Area of the vertical rectangles
Area = 3 * 5 + 5 * 3 + 2 * 6
Area = 15 + 15 + 12
Area = 42
Here, the area in case 1 is equal to case 2.
Thus, the two different ways of finding the area have shown above.
Learn more about rectangles here:
brainly.com/question/16021628
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