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alexdok [17]
2 years ago
8

Which shapes have the same volume as the given rectangular prism?base area = 50 cm^2​

Mathematics
1 answer:
icang [17]2 years ago
5 0

Answer:The first one

Step-by-step explanation:

V rectangular prism = Area of the base *5

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Ralph Chase plans to sell a piece of property for $165000. He wants the money to be paid off in two ways - a short-term note at
KonstantinChe [14]

Answer:

The amount of the 10% note is $90,000 and the amount of the 7% note is $75,000

Step-by-step explanation:

Let the amount paid on the 7% note be $x and the amount paid on the 10% note be $y

we know that the sum of both is 165,000

Thus, mathematically

x + y = 165,000 •••••••(i)

Now let’s take a look at interest paid

For the 7%;

7/100 * x = 0.07 * x = 0.07x

For the 10%

10/100 * y = 0.1 * y = 0.1y

The addition of both gives $14,250

0.07x + 0.1y = 14,250 •••••(ii)

We now solve both equations simultaneously

From equation 1, we can have;

x = 165,000 -y

we can substitute this into ii

0.07(165,000-y) + 0.1y = 14,250

11,550 -0.07y + 0.1y = 14,250

0.03y = 14,250-11,550

0.03y = 2700

y = 2700/0.03

y = $90,000

Recall;

x = 165,000-y

x = 165,000 -90,000

x = $75,000

4 0
2 years ago
Sketch the region bounded by the curves y=3x3, x+y=4, and y=0. Find the coordinates of the centroid.
Scilla [17]
The graph of the region is attached.  The coordinates of the centroid are (5/3, 1).

The coordinates of the centroid are found by averaging the coordinates of the region;

Oₓ = (Aₓ+Bₓ+Cₓ)/3 = (0+1+4)/3 = 5/3
O(y) = (A(y) + B(y) + C(y)) = (0+3+0)/3=3/3=1

5 0
2 years ago
Match each set of vertices with the type of quadrilateral they form.
Serjik [45]
Only correct the first one.

Please, see the graph in the attached file.

1) a rectangle with                   A(3,3), B(3,6),
    noncongruent          ←→     C(7,6), D(7,3)
    adjacent sides
    (in green)

2) a parallelogram                  
    with                                       A(2,0), B(3,2) 
    nonperpendicular     ←→     C(6,3), D(5,1)
    adjacent sides
    (in blue)

3) a square                  ←→       A(3,3), B(2,5),
    (in red)                                   C(4,6), D(5,4)

4) a rhombus with                    A(2,-2), B(3,0),
    nonperpendicular    ←→     C(4,-2), D(3,-4)
    adjacent sides
    (in black)

5 0
2 years ago
What is the sum of the polynomials?<br><br> (7x3 – 4x2) + (2x3 – 4x2)
AnnZ [28]

Answer:

9x3 – 8x2

Step-by-step explanation:

Simplify signs:

 

8x2 - 5x3 - 4x2 + 9x3

 

Combine like terms:

 

(8x2 - 4x2) + (9x3 - 5x3)

3 0
1 year ago
During a catered lunch, an average of 4 cups of tea are poured per minute. The lunch will last 2 hours. How many gallons of tea
EastWind [94]
<span> 4 cups of tea are poured per minute
2 hours = 2 x 60 = 120 minutes
so in 2 hours = 120 x 4 = 480 cups
</span><span>16 cups in one gallon then
</span><span>480 / 16 = 30 gallons

answer
30 gallons


</span>
5 0
1 year ago
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