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frez [133]
3 years ago
11

Find the value of the variable in the triangle below. Round decimal answers to the nearest tenth.

Mathematics
1 answer:
Alik [6]3 years ago
6 0

Answer:

x = 7.5  

Step-by-step explanation:

This is a right angle triangle so the Pythagorean rule applies

The hypotenuse is opposite the right angle and it is also the longest side

Now, apply the Pythagorean rule

15^2 = 13^2 + x^2

225 = 169 + x^2

225 - 169 = x^2

56 = x^2

Take the square root of both sides

7.48 = x

x = 7.5        .........to the nearest tenth

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Answer:

y = -(1/7)x + 1

Step-by-step explanation:

3x + 21y = 21 \\ 21y = 21 - 3x \\ y =  \frac{21 - 3x}{21}  \\ y = 1 -  \frac{1}{7} x \\ y =  -  \frac{1}{7} x + 1

6 0
2 years ago
the density of a certain material is such that weighs 6900 grams for every 4.5 quarts of volume express this density in pounds p
dlinn [17]

Answer:

d=101.4\ \text{pounds}/\text{feet}^3

Step-by-step explanation:

Given that,

Mass of material, m = 6900 grams

Volume of the material, V = 4.5 quarts

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We know that,

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Also, 1 cubic foot = 29.92 quarts

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Density = mass/volume

Or

d=\dfrac{15.21\ \text{pounds}}{0.15\ \text{feet}^3}\\\\d=101.4\ \text{pounds}/\text{feet}^3

Hence, the density of the material is 101.4\ \text{pounds}/\text{feet}^3

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3 years ago
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Alex777 [14]
<h3>Answer: 20 lawns</h3>

Work Shown:

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