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Rom4ik [11]
3 years ago
8

in order to prepare for building a brick patio, a rectangle measuring 8 feet by 10 feet must be marked off, then the dirt dug ou

t to a depth of 0.5 feet. what is the volume of sand needed, in feet, to feel up the space?
Mathematics
1 answer:
Gala2k [10]3 years ago
5 0
The sand makes up a rectangular prism of dimensions 8' by 10' by 0.5'.

The volume of sand is then   V = L*W*H, or V = (10')(8')(0.5') = 40 cubic ft.
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Please answer if possible. Thanks!​
aliya0001 [1]

Answer:

0

Step-by-step explanation:

0 is the center of -4 and 4

7 0
3 years ago
Rectangle R has varying length l and width w but a constant perimeter of 4 ft. A. Express the area A as a function of l. What do
ivanzaharov [21]
Given:
l = length of the rectangle
w = width of the rectangle
P = 4 ft, constant perimeter

Because the given perimeter is constant,
2(w + l) = 4
w + l = 2
w = 2 - l            (1)

Part A.
The area is
A = w*l 
   = (2 - l)*l
 A  = 2l - l²
This is a quadratic function or a parabola.

Part B.
Write the parabola in standard form.
A = -[l² - 2l]
   = -[ (l -1)² - 1]
   = -(l -1)² + 1
This is a parabola with vertex at (1, 1). Because the leading coefficient is negative the curve is downward, as shown below.

The maximum value occurs at the vertex, so the maximum value of A = 1.
From equation (1), obtain
w = 2 - l = 2 - 1 = 1.
The maximum value of the area occurs when w=1 and l=1 (a square).

Answer:
The area is maximum when l=1 and w=1.
The geometric argument is based on the vertex of the parabola denoting maximum area.

4 0
3 years ago
A LARGE RECTANGULAR POSTER IS 3 TIMES AS LONG AND 3 TIMES AS WIDE AS A SMALL RECTANGULA POSTER. THE SMALL POSTER IS 3 FEET LONG
umka2103 [35]

Answer:

the Larger poster is 9ft long by 6ft wide

Step-by-step explanation:

In order to find the length and width values of the large poster we first need to find the width of the smaller poster since we are already given the length. Since we are also provided with the perimeter we can add the length twice and subtract it from the perimeter which would give us the value of both width sides of the rectangle, then we simply divide by 2 to get the value of the individual width.

10ft = 3ft + 3ft + w + w

10ft = 6ft + 2w

4ft = 2w

2ft = w

Since the larger poster is 3 times as big for the length and the width we simply multiply the smaller poster's length and width by 3...

L = 3 * 3 = 9ft

W = 2 * 3 = 6ft

Finally, we can see that the Larger poster is 9ft long by 6ft wide

8 0
3 years ago
Which represents a quadratic function ?
mars1129 [50]

Answer:

\boxed{\boxed{B.\ f(x)=\dfrac{3}{4}x^2+2x-5}}

Step-by-step explanation:

Quadratic function-

It is a function that can be represented by an equation of the form f = ax^2 + bx + c, where a\neq 0

In a quadratic function, the greatest power of the variable is 2.

As in the first option the highest power is 3, so it is not a quadratic function.

Even though the power of x is 2 in the third option, but as it is in the denominator, so the overall power of x becomes -2. Hence it is not a quadratic function.

As the coefficient of x^2 is 0 in case of fourth option, so it is not a quadratic function.

Equation in option 2 satisfies all the conditions of quadratic function, hence it is the quadratic function.

8 0
3 years ago
Read 2 more answers
Solve for "y" <br> 8y-4x=2
Marizza181 [45]
        -4x + 8y = 2
-4x + 4x + 8y = 2 + 4x
                 8y = 4x + 2
                  8         8
                   y = ¹/₂x + ¹/₄
7 0
3 years ago
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