The base area of this second rectangular prism is 51 cm²
The rectangular prism completely filled with sand has a base area of 85cm² and height of 15cm .
<h3>
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volume of a rectangular prism</h3>
where
B = base area
h = height
Since the first rectangular prism was completely filled with sand and it completely filled the second rectangular prism, it means they both have the same volume.
Therefore,
volume of the first rectangular prism = volume of the second rectangular prism.
Therefore, the base area of the second rectangular prism can be calculated as follows:
volume = Bh
1275 = 25B
B = 1275 / 25
B = 51 cm²
learn more on prism here: brainly.com/question/2517494?referrer=searchResults
Step-by-step explanation:
<u>Given coordinates of the rectangle ABCD:</u>
- A(0, 0), B(a, 0), C(x, y), D(0, b)
Lets first find coordinates of C
We can see that A and B are on same line horizontally, so C and D will be on the parallel line
The distance AB and CD are equal also distance AD and BC are equal, therefore
- AB = a - 0 = a, CD = a
- AD = b - 0 = b, BC = b
<u>So the coordinates of C are:</u>
<u>Now the diagonals:</u>
- AC = √(a-0)² + (b-0)² = √a²+b²
- BD =√(0-a)² + (b -0)² = √a² + b²
Since AC = BD, we can state they are congruent
Answer:
$1,216
Step-by-step explanation:
Costs for Handsome Homes fabric
Area (sq. ft.) Cost (dollars)
(x) (y)
250 475
500 950
750 1,420
1000 1,900
If you divide any y-value by its corresponding x-value, the quotient will be 1.9
This means that each square foot costs $1.90 at Handsome Homes
Discount Diggers = 20% per sq. ft. less than Handsome homes
Discount Diggers = $1.90 - 20%
Discount Diggers = $1.90(100 - 20%)
Discount Diggers = $1.90(0.8)
Discount Diggers = $1.52
Now that it is known how much 1 square foot of fabric costs at Discount Diggers, we need to find how much 800 square feet of fabric costs.
$1.52 = 1 sq. ft.
$1.52(800) = 800 sq. ft.
$1,216
800 square feet of landscape fabric at Discount Diggers costs $1,216
Hope this helps :)
I forgot all about this :(
Answer:
R = 33.35%
Step-by-step explanation:
that is the solution above
