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Fynjy0 [20]
3 years ago
12

A paperweight in the shape of a rectangular prism is shown: A right rectangular prism is shown with length 10 cm, width 4 cm, an

d height 4 cm. If a cross section of the paperweight is cut diagonal to the base, which shape describes the cross section?
Mathematics
1 answer:
ValentinkaMS [17]3 years ago
4 0

Answer:

Square

Step-by-step explanation:

CHECK THE ATTACHMENT FOR THE FIQURE OF THE QUESTION

✓We were given the dimension of the rectangular prism as 10cm × 4cm × 4cm,

✓The cross section of the paperweight can be cut into half to it's base. Then the new dimension will be 4cm × 4cm which is a quadrilateral.

✓ Then width= 4cm, and height=4 cm are of the same values, hence the shape it forms is a SQUARE. and also the their angles is 90° each.

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Use the substitution method to solve the system of equations. Choose the correct ordered pair.
motikmotik
Ur gonna have to pick an equation and solve for a variable.

2x - 2y = 6
2x = 2y + 6 ...divide everything by 2 because u want x by itself
x = y + 3

now we sub y + 3 in for x in the other equation
14x - 2y = 78
14(y + 3) - 2y = 78...distribute thru the parenthesis
14y + 42 - 2y = 78...subtract 42 from both sides, cancelling the 42 on the left
        -42          -42
-----------------------
14y - 2y = 36 ...simplify
12y = 36...divide by 12 on both sides, cancelling out the 12 on the left
y = 36/12
y = 3

now , we already know that x = y + 3...and we know y = 3...so sub in 3 for y and solve for x
x = y + 3
x = 3 + 3
x = 6

solution is (6,3)

it is always a good idea to check ur answer by subbing it into one or both of the equations to see if it is correct
2x - 2y = 6......(6,3)...x = 6 and y = 3
2(6) - 2(3) = 6
12 - 6 = 6
6 = 6 (correct)

so yes, ur solution is (6,3)
4 0
3 years ago
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The equation A = x(x - 7) describes the area, A, of a rectangular flower garden, where x is the width in feet.
mamaluj [8]

x(x-7)=8

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8 0
3 years ago
Maria bought g gallons of gasoline for ​$3.95 per gallon and c cans of oil for ​$4.45 per can. a. What expression can be used to
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Answer:

a.) Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.) Total amount spent by Maria = $ 74.02

Step-by-step explanation:

As given,

Cost of gasoline = $ 3.95 gallon

Cost of oil per can = $ 4.45

Also given,

Maria bought g gallons of gasoline and c cans of oil

⇒ Total cost of g gallons of gasoline = g×3.95 = $3.95g

   Total cost of c cans of oil  = c×4.45 = $4.45c

Now,

a.)

Total amount spent on gasoline and oil = $ ( 3.95g + 4.45c )

b.)

As given ,

Maria buy gasoline , g = 8.6 gallons

Maria buy cans of oil , c = 6

So,

Total amount spent = $ 3.95(8.6) + 4.45(9)

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⇒Total amount spent by Maria = $ 74.02

3 0
3 years ago
1/2(8-x)=10<br> A.12<br> B.3<br> C.-12
Murljashka [212]
4-1/2x=10
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3
so your answer would be B
hope that helps
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