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allsm [11]
3 years ago
15

Find the perimeter of the polygon defined by the coordinates (5, 8), (12, 0), (-5, 0), and (-12, 8). (Round to nearest tenth)

Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

 

\displaystyle\\\text{We have the points:}\\E(5,~8)\\F(12,~0)\\G(-5,~0)\\H(-12,~8)\\\\EF=\sqrt{(5-12)^2+(8-0)^2}=\sqrt{(-7)^2+8^2}=\\=\sqrt{49+64}=\sqrt{113}\approx\boxed{\bf10.63}\\\\FG=12-(-5)=12+5=\boxed{\bf17}\\\\GH=\sqrt{(-5-(-12))^2+(0-8)^2}=\sqrt{7^2+(-8)^2}=\\=\sqrt{49+64}=\sqrt{113}\approx\boxed{\bf10.63}\\\\HE=|-12-5|=|-17|=\boxed{\bf17}\\\\P=EF+FG+GH+HE=10.63+17+10.63+17=55.26\approx\boxed{\bf55.3}\\\\\text{Correct answer: }~B)

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What is the measure in degrees of 8x if one angle is already 7x and 44.4 degrees?
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7x+8x+44.4=180

15x=44.4=180

15x=135.6

x=9.04°

so 8x=72.32° and the 7x is 63.28°
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3 years ago
Solve for y. 3=7(1-1)<br><br>(it isn't 2)​
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Answer:

First off, I can't solve for y, there is no y variable.

Second, 3 = 7 ( 1 - 1 ) is not true because 3 ≠ 0 ( 3 doesn't equal 0 ) :

3 = 7 ( 1 - 1 )

3 = 7 ( 0 )  ( Simplify Parenthesis )

3 = 0 ( Multiply 7 and 0 )

3 ≠ 0

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3 years ago
What is -184.4 rounded to the nearest tenth place
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Answer:

-184

Step-by-step explanation:

The 0.4 isn't 5 or greater so it won't be rounded up as 1.

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2 years ago
Find the volume of the parallelepiped with adjacent edges t = 3j – 4j – 6k, u = 3i – 7j – 7k and v = 5i + j + 3k.
Assoli18 [71]

Answer:

94 cubic units

Step-by-step explanation:

The volume of this parallelepiped (the product of area of its base and height) is equal to the absolute value of the scalar triple product |\vec{t}\cdot (\vec{u}\times \vec{v})|

Since

\vec{t}=3\vec{i}-4\vec{j}-6\vec{k}=(3,-4,-6)\\ \\\vec{u}=3\vec{i}-7\vec{j}-7\vec{k}=(3,-7,-7)\\ \\\vec{v}=5\vec{i}+\vec{j}+3\vec{k}=(5,1,3)

we have

|\vec{t}\cdot (\vec{u}\times \vec{v})|=\left|\left|\begin{array}{ccc}3&-4&-6\\3&-7&-7\\5&1&3\end{array}\right|\right|=|3\cdot (-7)\cdot 3+(-4)\cdot (-7)\cdot 5+3\cdot 1\cdot (-6)-5\cdot (-7)\cdot (-6)-3\cdot (-7)\cdot 1-3\cdot (-4)\cdot 3|=|-63+140-18-210+21+36|=|-94|=94\ un^3.

4 0
3 years ago
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