Answer:
310 inches²
Step-by-step explanation:
Given: A rectangular prism cage has a height of 28 inches.
Volume of prism is 8680 cubic inches.
We know the area of base of rectangular prism is equal to the area of rectangle.
∴ Lets find out the lenght and width of rectangular prism.
Volume of rectangular prism= 
Where, w is width
l is length
h is height.
Now, putting the value in the formula of volume.
⇒ 
cross multiplying
⇒ 
∴ wl= 310 inches²
As we need to find the area of the plastic mat on the bottom of the cage, which is rectangle in shape.
Area of rectangle= 
∴ Area of rectangle= 310 inches²
Hence, 310 inches² is the area of the plastic mat on the bottom of the cage.
Answer:
7
Step-by-step explanation:
Concept to Know: "A number is a perfect square if and only if it has odd number of positive divisors
"
Find all the squared values that lies between 360 and 630
360< 19², 20², 21², 22², 23², 24², 25² < 630
19², 20², 21², 22², 23², 24², and 25² are all the squared values that lies between 360 and 630. There are seven of those squared numbers so the answer is 7.
Answer:
40⁰
Step-by-step explanation:
<em><u>Main</u></em><em><u> </u></em><em><u>principles</u></em><em><u>:</u></em>
1.Alternate angles equal
2.Vertically opposite angles are equal
If angle 2 is 40⁰, then using the second principle,angle 3 is also 40⁰
Then, using the first principle,(alternate angles/angles that form any variation of "z"), angle 6 is also 40⁰.
There are other ways to do this like using co-interior angles, straight angles and other methods, these are the easiest to understand