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2 years ago

The length of a rectangle is

Mathematics

1 answer:

laiz [17]2 years ago

8 0

Answer:

20 inches long and 7 inches wide

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Solve equation2/3*2/3*2/3*2/3=

andrey2020 [161]

Answer:

16/81

Step-by-step explanation:

Same as (2/3)^4

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3 years ago

Which system of inequalities is represented by the graph?

alexgriva [62]

Answer:

$\left\{\begin{array}{l}y\ge -x-6\\ \\ y\le 2x+4\end{array}\right.$

Step-by-step explanation:

The diagram shows shaded region which boundary is bounded with two lines.

Equation of the 1st line:

This line passes through the points (-6,0) and (0,-6), so its equation is

$\dfrac{x-(-6)}{0-(-6)}=\dfrac{y-0}{-6-0}\\ \\\dfrac{x+6}{6}=\dfrac{y}{-6}\\ \\y=-x-6$

Equation of the 2nd line:

This line passes through the points (-2,0) and (0,4), so its equation is

$\dfrac{x-(-2)}{0-(-2)}=\dfrac{y-0}{4-0}\\ \\\dfrac{x+2}{2}=\dfrac{y}{4}\\ \\y=2x+4$

The origin belongs to the shaded region, so it must satisfy both inequalities, so

$-0-6=-6\le 0\Rightarrow$ correct inequality is $-x-6\le y$

$2\cdot 0+4=4\ge 0\Rightarrow$ correct inequality is $2x+4\ge y$

Note that signsare with notion "or equal to" because lines are solid.

Answer:

$\left\{\begin{array}{l}-x-6\le y\\ \\2x+4\ge y\end{array}\right.\Rightarrow \left\{\begin{array}{l}y\ge -x-6\\ \\ y\le 2x+4\end{array}\right.$

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3 years ago

Find the arc length of the partial circle.

bonufazy [111]

Answer:

90 units

Step-by-step explanation:

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3 years ago

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Simplify. Express your answer using exponents. (5m^2n^8)^3 Answer: _

Svetllana [295]

Answer:

125m^6n^24

Step-by-step explanation:

When exponents are raised by another exponent, they are multiplied

2 x 3 = 6

8 x 3 = 24

5^3 = 5 x 5 x 5 = 125

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3 years ago

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A container is filled with 100 grams of bird feed that is 80% seed. Tom and Sally want to mix the 100 grams with bird feed that

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Answer:

Step-by-step explanation:

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3 years ago