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4 years ago

Find the area of the shaded region round to the nearest tenth .

Mathematics

2 answers:

Irina-Kira [14]4 years ago

5 0

This is a regular hexagone. If you draw each vertex to the center, it will be divided into r equilateral triangle. Since each side = 8 mm, the central diagonal is equal to 16 mm (Diameter of the subscribed circle).

Area of the shaded trapezoid = (B+b),H/2
B= 16 mm
b= 8.6 mm
H = 2.8 mm

Area = [(16 + 8.6).2.8]/2 = (24.6)(1.4) = 34.44 mm²

Leviafan [203]4 years ago

4 0

200.7 I hope this is the answer

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The ordered pairs (−4,−3)

lilavasa [31]

The equations and inequality expresses the relationship between the variables.

The correct responses are;

First part; The rule that represent the function is; y = 0.5·x - 1

Second part; the correct option is the inequality; 2·n - 6 ≥ 35

Third part; $\displaystyle \underline{b = \frac{- a\cdot x^2 - c}{x}}$

Fourth part; Table 4

Fifth part; $\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part; 75·w + 55 ≤ 400

Reasons:

First part;

The difference between y-values following a change in 2 units of the x-value is a constant, and is equal to 1;

The rate of change of the function, m, is therefore;

$\displaystyle m = \frac{2 - 1}{6 - 4} = \frac{1}{2} = 0.5$

The slope and intercept form of the equation of the function is therefore;

y - 3 = 0.5·(x - 8) = 0.5·x - 4

y = 0.5·x - 4 + 3 = 0.5·x - 1

The rule that represent the function is; y = 0.5·x - 1

Second part;

2·n represent twice the number

The difference between twice the number and 6 = 2·n - 6

At least 35 = ≥ 35

Therefore, the inequality is; 2·n - 6 ≥ 35

Third part;

The given quadratic equation is; a·x² + b·x + c = 0

Therefore;

$\displaystyle \underline{b = \frac{-c - a\cdot x^2}{x}}$

Fourth part;

The best correct option is table 4, given that the table is as follows;

$\begin{tabular}{|c|cc|}In&&Out\\Not clear&&\\9&&17\\10&&19\end{array}\right]$

Fifth part;

The y-intercept of the graph is -0.5

The slope is -4 ÷ 8 = -0.5

Therefore, the equation is; y = -0.5·x - 4

The shaded area is the area lower than the y-values, with broken lines (indicating < relationship) which gives, the correct inequality as follows;

$\displaystyle \underline{y < -\frac{1}{2} \cdot x - 4}$

Sixth part;

The amount Jordan part-time job pays = $75

The amount he has already saved = $55

The cost of the iPhone = $400

Let w represent the number of weeks Jordan works, at his part-time job to purchase the iPhone, we have;

75·w + 55 ≤ 400

Learn more about writing equations and inequalities here:

brainly.com/question/14321394

3 0

2 years ago

What Does The M And B Stand For In y=mx+b