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djverab [1.8K]
3 years ago
9

Find the missing side lengths. Leave your answers as radicals in simplest form

Mathematics
1 answer:
tino4ka555 [31]3 years ago
6 0

We have the triangle 30° - 60° - 90°.

The lenght of the sides are in proportion: 1:2:\sqrt3\to a:2a:a\sqrt3

a=y\\2a=x\\a\sqrt3=5\\\\a\sqrt3=5\qquad\text{multiply both sides by}\ \sqrt3\\\\3a=5\sqrt3\qquad\text{divide both sides by 3}\\\\a=\dfrac{5\sqrt3}{3}\\\\2a=2\cdot\dfrac{5\sqrt3}{3}=\dfrac{10\sqrt3}{3}\\\\Answer:\ x=\dfrac{10\sqrt3}{3},\ y=\dfrac{5\sqrt3}{3}

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bezimeni [28]
Add 2x to both sides,
3x+9=18
Subtract 9 from both sides. 3x=9
Divide both sides by 3. 
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6 0
3 years ago
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zloy xaker [14]

Answer:

96 in^2

Step-by-step explanation:

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= .5 * 8 * 24

=192/2

=96

area of shaded=rectangle - triangle

= 192-96

which is also just 192/2

so it is 96

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3 years ago
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devlian [24]

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7 0
3 years ago
Find the value of x if a linear function goes through the following points and has the following slope: (x,2), (-4,6), m=3
Anastasy [175]

The slope is defined as

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So, we have the follwing equation:

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6 0
3 years ago
Read 2 more answers
Which polynomial represents the difference below?
AleksAgata [21]

Answer:

-x²-8x+6

Step-by-step explanation:

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2x²-3x²+7x+x+6

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Hence the required difference is -x²-8x+6

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3 years ago
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