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:
See Below.
Step-by-step explanation:
We are given that ∠A = ∠D, and we want to prove that ΔACB ~ ΔDCE.
Statements: Reasons:
Answer:
(7, - 7 )
Step-by-step explanation:
- 4x + y = - 35 → (1)
- 2x - y = - 7 → (2)
adding the 2 equations term by term will eliminate the y- term
(- 4x - 2x) + (y - y) = - 35 - 7
- 6x + 0 = - 42
- 6x = - 42 ( divide both sides by - 6 )
x = 7
substitute x = 7 into either of the 2 equations and solve for y
substituting into (1)
- 4(7) + y = - 35
- 28 + y = - 35 ( add 28 to both sides )
y = - 7
solution is (7, - 7 )
<span>The
associative rule is a rule about when it's safe to move parentheses
around. You can remember that because the parentheses determine which
expressions you have to do first--which numbers can associate with each
other. It looks like this:
For addition: (a + b) + c = a + (b + c)
For multiplication: (ab)c = a(bc)
The commutative property is about which operations you can do backward
and forward. You can remember this by thinking of people commuting to
work: they go to work every morning, then they repeat the same operation
backward when they commute home. It looks like this:
For addition: a + b = b + a
For multiplication: ab = ba
Finally, the distributive property tells you what happens when you
distribute one operation against another kind in parentheses. It looks
like this:
a * (b + c) = ab + ac
In other words, the a is "distributed" over the b and c.
Of course, you can make these work together:
a * (b + (c + d))
= a * ((b + c) + d) (by the associative property)
= a * (d + (b + c)) (by the commutative property)
= ad + a (b + c) (by the distributive property)
= ad + ab + ac (by the distributive property again).
Hope this helps. </span>
Answer:
<em>x = 5</em>
Step-by-step explanation:
5(x + 4) - 8 = x + 32
5x + 20 - 8 = x + 32
5x + 12 = x + 32
5x - x + 12 = 32
5x - x = 32 - 12
4x = 32 - 12
4x = 20
x = 5
Hope this helped! :)
