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Juli2301 [7.4K]
3 years ago
14

What is the solution set for -2x + 4 > -12? ​

Mathematics
1 answer:
anygoal [31]3 years ago
5 0

Answer: x<8

Step-by-step explanation:

Hope I was right

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If 588 digits were used to number the pages of a book, how many pages are in this book?
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294 pages are in this book

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Find the height of the triangle by applying formulas for the area of a triangle and your knowledge about triangles.
mariarad [96]

The height of the triangle is approximately 4.35\text{ mm}

Step-by-step explanation:

The area of a triangle can be calculated by using the Heron's formula.

<em>Heron's formula:  </em>

Suppose a triangle has sides a', b' and c', then the semi-perimeter S of the triangle is represented by the expression,

S=\frac{a'+b'+c'}{2}

The area A of the traingle is formulated below.

\fbox {\begin\\A=\sqrt{s(s-a')(s-b')(s-c')}\end{minispace}}

To calculate the area of the triangle with sides 9 \text{ mm} , 6 \text{ mm} and 12 \text{ mm}, first find the semi-perimeter.

S=\frac{9+6+12}{2}\\S=\frac{27}{2}\\S=13.5 \text{ mm}

Now, the area of the triangle is calculated below.

A=\sqrt{s(s-a)(s-b)(s-c)}\\A=\sqrt{13.5(13.5-9)(13.5-6)(13.5-12)}\\A=\sqrt{13.5 \times 4.5 \times 7.5 \times 1.5}\\A=\sqrt{\frac{135}{10}\times\frac{45}{10}\times\frac{75}{10}\times\frac{15}{10}} \\A=\sqrt{\frac{(15\times3\times3) \times (15\times3) \times (15\times5) \times15}{100\times100}}\\A=\frac{15\times15\times3\sqrt{15 } }{100} \\A=2.25\times3\times3.87\\A=26.122

Area <em>A</em> of a triangle with a altitude <em>P</em> and one side as base <em>B </em>on which the altitude <em>P</em> is drawn, can be calculated as,

\fbox{\begin\\A= \left[\frac{1}{2}(B)(P)\right]\\\end{minispace}}

Now, the area of the same triangle can also be calculated as,

A=\frac{1}{2}(12)(x)\\A=6x

In the above calculations, area of the triangle is calculated in two ways.

Therefore, both the areas can be equated to obtain the altitude x.

6x=26.122\\x=\frac{26.122}{6}\\x=4.35

 

Thus, the height of the triangle is evaluated as \fbox{4.35 \text{ mm}}.

Learn more:

1. Prove that AB2+BC2=AC2https://brainly.com/question/1591768

2. Which undefined term is needed to define an angle? brainly.com/question/3717797

3. Look at the figure, which trigonometric ratio should you use to find x? brainly.com/question/9880052

Answer Details

Grade: Junior High School

Subject: Mathematics

Chapter: Area of triangle

Keywords: area of triangle, heron's formula, base multiplied by height, base multiplied by perpendicular, base multiplied by altitude, right triangle, altitude corresponding to base, area of right triangle

5 0
3 years ago
What is one tenth of 200?
valentina_108 [34]

the answer is 20 because 200 * (1/10) = 20

4 0
3 years ago
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