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kompoz [17]
1 year ago
10

If concrete was selling for $55.5 per cubic yard, how much did you spend to pave the sidewalk? (See 162 cubic feet.)

Mathematics
1 answer:
Troyanec [42]1 year ago
3 0

Given:

The volume of the sidewalk is 162 cubic feet.

In yards,

\frac{162}{3\times3\times3}=6\text{ cubic yards}

The selling price of concrete is $55.5 per cubic yard.

To find the amount that I spend to pave the sidewalk:

So,

6\times55.5=\text{ \$}333

Hence, the amount that I spend to pave the sidewalk is $333.

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Inessa05 [86]
You want to complete the square for this question. 
However, we can tell that this equation is a perfect square, because by looking at the form: ax^2+bx+c, b is double the square root of c and c is a perfect square.
Therefore, the equation can be rewritten as y=(x-3)^2. Since there is no translation in the y direction (looking at the general equation y=a(x+d)^2+e, e represents a translation in the y direction), the vertex would neither be above or below, but on the x-axis. The point of the vertex is (3,0) from this equation, and therefore the answer is A. It is not on the y axis because the parabola has a translation in the x direction (as represented by the x-3, which means it has been translated 3 units to the right).
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3 years ago
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miskamm [114]
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3 years ago
How could Lynn calculate the length of the diagonal of a square?
Arisa [49]

Answer:

D. by squaring one side length and doubling the value; then taking the square root of that value

Step-by-step explanation:

Multiplying the length of the square by itself gets you the area of the square, so A is incorrect.

Adding the lengths of all four sides of the square gets you the perimeter of the square, so B is incorrect.

Multiplying 1/2 by the length of the base times the height would get you the area of half of the square, so C is incorrect.

What you need to do is use the Pythagorean theorem: a^2 + b^2 = c^2. This formula means that the legs of a right triangle squared and added together will equal the diagonal side squared. Since the side lengths of a square are all the same, we can simplify the formula into 2a^2 = c^2. When we solve that equation for the diagonal, we get c = \sqrt{2a^2}, which is what answer D describes. Therefore, D is correct.

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3 years ago
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Montano1993 [528]

Answer:

Step-by-step explanation:

Kwame could've used 11 cups of orange and 1 cup of mango. This gives him an orange to mango ratio of 11 to 1. Very orangey!

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