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VARVARA [1.3K]
3 years ago
8

6 numbers are shown

Mathematics
1 answer:
Sonja [21]3 years ago
8 0

Answer:

-1\frac{1}{2}, -\frac{3}{4}, -\frac{37}{50}, \frac{5}{4}, 1\frac{1}{4}, 2\frac{3}{4}

Step-by-step explanation:

1\frac{1}{4} , -1\frac{1}{2},  -\frac{37}{50}, -\frac{3}{4}, 2\frac{3}{4},  \frac{5}{4}

Order everything, negative to the left side and positive to the right side

<u><em>Negative numbers:</em></u>

-1\frac{1}{2}, -\frac{37}{50}, -\frac{3}{4}

<u><em>Positive numbers:</em></u>

1\frac{1}{4}, 2\frac{3}{4}, \frac{5}{4}

<em><u>Now order it on a number line:</u></em>

-1\frac{1}{2}, -\frac{3}{4}, -\frac{37}{50}, \frac{5}{4}, 1\frac{1}{4}, 2\frac{3}{4}

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1. Use Pythagorean Theorem (a²+b²=c²) to solve for missing side of triangle and rectangle. x²+16²=20², or x²+256=400. So, x²=144, and x=12

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<h2>Question 10:</h2>

Literally same thing but with trigonometry.

1. Use sine to find out length of dotted line: sin(60°)=x/12

2: Simplify: 12*sin(60°)=x. x≈10.4 (rounded to the nearest tenth)

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6: Simplify: 1/2 (10.4) (66) =343.2

7: Area of figure is about 343.2

Remember, this is an approximate answer with rounding, so it might not be what your teacher wants. The best thing to do is do it yourself again.

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