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sladkih [1.3K]
3 years ago
12

Andre builds a form for a new cement step in the shape of a rectangular prism. The form he builds is 40 and 1/2 inches long, 10

inches deep, and 8 inches high. How much cement is needed to fill the form?
Mathematics
1 answer:
posledela3 years ago
8 0

Answer:

3240 in^3

Step-by-step explanation:

Step one:

given data

The dimension of the form

Length 40 and 1/2 inches long,

Depth 10 inches deep,

The width and 8 inches high

Step two:

The amount of cement is equivalent to the volume of the form

V=L*W*H\\\\V=40.5*10*8\\\\V=3240 in^3

Hence the volume of cement is 3240 in^3

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A pyramid has a height of 8 inches and a volume of 120 cubic inches. Determine 2
Pie

Answer:

1.     9 * 5 in.

2.    3 * 15 in.

Step-by-step explanation:

Volume = 1/3 * area of the base * height

120 = 1/3 * A * 8

So A = 120 / (8/3)

= 120 * 3/8

= 45 in^2.

So the dimensions of the base could be 9 * 5 in

or 3 * 15 in.

3 0
2 years ago
For the polynomial function ƒ(x)= −2x2 − 4x + 16, find all local and global extrema.
rusak2 [61]

For the given quadratic equation we only have a maximum at y = 18.

<h3>How to find the extrema of the given function?</h3>

Here we have:

f(x) = -2x^2 - 4x + 16

Notice that this is a quadratic equation of negative leading coefficient.

Then we have a maximum at the vertex, and both arms tend to negative infinity as x tends to infinity or negative infinity.

The vertex is at:

x = -(-4)/(2*(-2)) = -1

The maximum is:

f(-1) = -2*(-1)^2 - 4*(-1) + 16 = -2 + 4 + 16 = 18

If you want to learn more about quadratic equations:

brainly.com/question/1214333

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7 0
2 years ago
what could the number -18 represent? using the same situation, what would its opposite represent? what would 0 represent?
kenny6666 [7]
-18= you owe 18 dollars
18= you earned 18 dollars
0= you owe nothing/you earned nothing
4 0
4 years ago
Read 2 more answers
Quadrilateral ABCD is transformed to create A′B′C′D′. Match the coordinates of A′ with the transformations that create it.
bulgar [2K]

Answer:

The answer is below

Step-by-step explanation:

From the image attached, the coordinates of point A is at (2, -4).

Transformation is the movement of a point from its initial location to a new position. Types of transformation include dilation, reflection, translation and rotation.

If a point A(x, y) is reflected over the x axis, the new point is at  A'(x, -y)

If a point A(x, y) is translated a units right and b units down, the new location is at A'(x + a, y - b)

If a point A(x, y) is dilated by  factor of a, the new location is at A'(ax, ay)

If a point A(x, y) is  rotated 180° clockwise about the origin, the new location is at A'(-x, -y)

Hence:

For Quadrilateral ABCD is reflected over the x-axis, the coordinates of A' is at A'(2, 4)

For Quadrilateral ABCD is translated 2 units right and 1 unit down, the coordinates of A' is at A'(4, -5)

For Quadrilateral ABCD is dilated by a scale factor of 3, the coordinates of A' is at A'(6, -12)

For Quadrilateral ABCD is rotated 180° clockwise about the origin the coordinates of A' is at A'(-2, 4).

Step-by-step explanation:

6 0
3 years ago
an orchard sells 6lb of apples for $13.50 there is a proportional relationship between the cost and number of apples.
Anna71 [15]

Answer:

Yes, there is a proportional relationship. For every 6 pounds of apple sold, they make $13.50.

3 0
3 years ago
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