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andreyandreev [35.5K]
2 years ago
9

Lanie's room is in the shape of a parallelogram. The floor of her room is shown below and has an area of 108 square feet. Lanie

has a rectangular rug that is 6 feet wide and 10 feet long. Will the rug fit on the floor of her room? Use the drop‐down menus to explain and show your answer.
Mathematics
1 answer:
dsp732 years ago
7 0

Answer:

Yes it would

Step-by-step explanation:

Lanie's room is in the shape of a parallelogram.

Lanie has a rectangular rug that is 6 feet wide and 10 feet long.

Area of a rectangle = Length × Width

Area of the rectangular rug = 10 feet × 6 feet

= 60 square feet

We are told that:

The floor of her room is shown below and has an area of 108 square feet.

Hence, the rug would fit on the floor of her room because it's area is within the area of the floor of her room.

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Goshia [24]

Answer:

The average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to<em> x</em> = <em>a</em> + <em>h</em> is -3.

Step-by-step explanation:

We are given the function:

g(x) = -3x + 4

And we want to determine its average rate of change of the function for <em>x</em> = <em>a</em> and <em>x</em> = <em>a</em> + <em>h</em>.

To determine the average rate of change, we find the slope of the function between the two points. In other words:

\displaystyle \text{Avg} = \frac{g(a + h) - g(a) }{(a + h ) - a}

Simplify:

\displaystyle \begin{aligned}  \text{Avg} &= \frac{g(a + h) - g(a) }{(a + h ) - a} \\ \\ &=\frac{(-3(a+h) + 4) - (-3a+4)}{h} \\ \\ &= \frac{(-3a -3h + 4) + (3a - 4) }{h} \\ \\ &= \frac{-3h}{h} \\ \\ &= -3\end{aligned}

In conclusion, the average rate of change of <em>g</em> from <em>x</em> = <em>a</em> to <em>x</em> = <em>a</em> + <em>h</em> is -3.

This is the expected result, as function <em>g</em> is linear, so its rate of change would be constant.

3 0
2 years ago
Fill in the table using this function rule.<br> y = 10x-3<br> X<br> -<br> 0
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Answer:

Step-by-step explanation:

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A number x rounded to 1 significant figure is 40. What is the error interval for x.
Viktor [21]

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Step-by-step explanation:

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3 years ago
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3 years ago
The area of a rectangle is 1,036 cm and its length is 74 cm.
Nikitich [7]

Answer:

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Step-by-step explanation:

Given,

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We know that, Area of a rectangle = length × breadth.

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