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3 years ago

A floor tile is shaped like a regular hexagon. The side lengths are 4 cm and the apothem 2√3 cm.

Mathematics

2 answers:

Nat2105 [25]3 years ago

6 0

Answer:

Area of regular hexagon $\approx 41.57 \: {cm}^{2}$

Step-by-step explanation:

Area of regular hexagon

$= 6 \times area \: of \: one \: triangle \\ \\ = 6 \times \frac{1}{2} \times 4 \times 2 \sqrt{3} \\ \\ = 24 \sqrt{3} \\ \\ = 41.5692194 \: {cm}^{2} \\ \\ \approx 41.57 \: {cm}^{2}$

JulijaS [17]3 years ago

4 0

Answer:

41.57

Step-by-step explanation:

took the test

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4x^2 = − 9x − 4 quadratic

Goryan [66]

Answer:

Yes, see the explanation.

Roots:

x = $\frac{63}{8}$ , or x= -10

Step-by-step explanation:

A quadratic fomrual in standard form is;

ax^(2) + bx + c = 0

The given equation:

4x^2 = -9x - 4

Maniplate the equation using inverse operations

4x^2 = -9x - 4

-4x^2 -4x^2

0 = -4x^2 - 9x - 4

Yes, this is a quadratic equation, because it fits the requirement of being able to be written in standard form.

Now find its roots:

-4x^2 -9x - 4 = 0

remember,

x = $\frac{(-b) +- (\sqrt{b^{2} - 4ac }) }{2a}$

Substitute in the given values

x= $\frac{(-(-9)) +- (\sqrt{(-9)^{2} - 4(-4)(-4)}) }{2(-4)}$

Simplify,

x = $\frac{9 +- (\sqrt{5184}) }{-8}$

x = $\frac{9 +- 72}{-8}$

x = $\frac{63}{8}$

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4 0

3 years ago

on a map with a scale 1:100,000 the distance between two cities is 12cm. what would be the distance between these two cities on

klio [65]

Part 1)

we have

the scale is $1:100,000$

the distance on a map is $12\ cm$

we know that

The scale is equal to the distance on a map divided by the real distance

Let

x------> distance on a map

y-------> real distance

S-------> scale

$S=\frac{x}{y}$

In this part we have

$S=\frac{1}{100,000}$

$x=12\ cm$

Find the value of y

$y=\frac{x}{S}$

Substitute the values

$y=\frac{12}{(1/100,000)}$

$y=1,200,000\ cm$

Convert to kilometers

$y=12\ Km$

Part 2)

In this part we have

$S=\frac{1}{300,000}$

$y=12\ km$

Find the value of x

$x=S*y$

Substitute the values

$x=(1/300,000)*12$

$x=0.00004 Km$

Convert to centimeters

$x=4\ cm$

therefore

the answer is

The distance is $4\ cm$

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3 years ago

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Aneli [31]

Answer:

A. 8h=m

Step-by-step explanation:

$8* h= total money m earned.

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3 years ago

Can someone help me?

Mumz [18]

Answer:

4.5

Step-by-step explanation:

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3 years ago

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Give the order of the matrix, and identify the given element of the matrix.

tigry1 [53]

Answer:

option D

2x4; -11

Step-by-step explanation:

Order of matrix is in form (m x n), here m is the row and n is the column of the matrix.

So this matrix have 2 rows and 4 columns

1)Order of matrix

2x4

2) $a_{12}$

here 1 is the row and 2 is the column

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Each elements of the matrix can be identity as below

$\left[\begin{array}{cccc}x_{11} &x_{12} &x_{13} &x_{14} \\x_{21} &x_{22} &x_{23} &x_{24} \\\end{array}\right]$

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4 years ago