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jeka94
3 years ago
5

A rectangular box is to have a square base and a volume of 70 ft3. The material for the base costs 38¢/ft2, the material for the

sides costs 10¢/ft2, and the material for the top costs 27¢/ft2. Letting x denote the length of one side of the base, find a function in the variable x giving the cost (in dollars) of constructing the box.
Mathematics
1 answer:
lakkis [162]3 years ago
3 0
x-length\ of\ one\ side\ of\ base\\y-high\ of\ box\\x^2-area\ of\ base\\x^2y-volume\\\\x^2y=70\\y=\frac{70}{x^2}\ \ \ \ \ \ \ \ and\ x\neq0\\\\38x^2+4\cdot10xy+27x^2\\65x^2+40xy\ in\ cents\\\\0.65x^2+0.4xy\ in\ dollars
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Are the fractions 2/2 and 8/8 equivalent fractions​
pychu [463]
Yes, they both equal 1
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3 years ago
What is the area of a rectangle with vertices at (−3, −1), (1, 3), (3, 1), and (−1, −3)?
Jobisdone [24]

Using the distance formula, the area of the rectangle is: 16 units².

<h3>What is the Area of a Rectangle?</h3>

Area of a rectangle = (length)(width).

Given the vertices:

  • A(−3, −1)
  • B(1, 3)
  • C(3, 1)
  • D(−1, −3)

Area = (AB)(BC)

Apply the distance formula, d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}, to find AB and BC:

AB = √[(1−(−3))² + (3−(−1))²]

AB = √[(4)² + (4)²]

AB = √32

BC = √[(1−3)² + (3−1)²]

BC = √[(−2)² + (2)²]

BC = √8

Area = (√32)(√8) = √256

Area = 16 units²

Learn more about area of rectangle on:

brainly.com/question/25292087

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6 0
3 years ago
What is 67,456 divided by 32 and tell me how
V125BC [204]

Answer:

2108

Step-by-step explanation:

Divide 67,456 by 32, using long division.

1) How many times 32 go into 67? (2 times, with a remainder of 3)

2) Bring down the 4.

3) How many times does 32 go into 34? (1 time, with a remainder of 2)

4) Bring down the 5

5) How many times does 32 go into 25? (0 times, so write 0)

6) Bring down the 6.

7) How many times does 32 go into 256? ( 8 times, no remainder)

8) Your answer is 2108

4 0
3 years ago
What is the solution to 5/8 times 7/9
Amanda [17]

Answer:

35 /72

Step-by-step explanation:

5 /8  ×  7 /9  is  35 /72

all you have to do is multiply

5×7 and 8×9

6 0
3 years ago
Which pair of undefined terms is used to define the term parallel lines
harina [27]
<span>After a thorough research, there exists the same question that have choices.

</span><span>Point, line
Line, plane
Coplanar, line
Point, coplanar </span><span>

The correct answer is "Coplanar, Line." The pair of undefined terms that is used to define the term parallel line is "Coplanar, Line" because parallel lines are coplanar in itself that do not intersect.</span>
6 0
3 years ago
Read 2 more answers
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