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4 years ago

How do i solve this equation 6(x-48)=48

Mathematics

2 answers:

telo118 [61]4 years ago

8 0

The answer is 6 do not add the x or -

Dominik [7]4 years ago

5 0

6x - 6*48 = 48
6x - 288 = 48
6x = 336
x = 336/6 = 56

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29. Find the area of a regular hexagon with apothem of 6 inches.

victus00 [196]

Answer:

124.7 in²

Step-by-step explanation:

A hexagon consists of six equilateral triangles, each of side a, and we can divide each of them into two right triangles.

So, we can calculate the area of one right triangle and multiply by 12.

The formula for the area of one triangle is

A = ½bh

Step 1. Calculate the length of the side a

Per the Pythagorean Theorem,

$\begin{array}{rcl}h^{2} + \left(\dfrac{a}{2}\right)^{2} & = & a^{2} \\\\6^{2} + \dfrac{a^{2}}{4} & = & a^{2}\\\\36 & = &\dfrac{3a^{2}}{4}\\\\144 & = & 3a^{2}\\\\\end{array}\\\\$

$\begin{array}{rcl}a^{2} & = & \dfrac{144}{3}\\\\a & = & \dfrac{12}{\sqrt{3}}\\\\a & = & \dfrac{12\sqrt{3}}{3}\\\\a & = & 4\sqrt{3}\\\\\end{array}$

2.Calculate the area of a small triangle

The base of a small triangle is

b = ½a = ½ × 4√3 = 2√3

The area of one small triangle is

A = ½ bh = ½× 2√3 × 6 = 6√3 in²

3. Calculate the area of the hexagon

A = 12 × 6√3 = 72√3 = 124.7 in²

5 0

3 years ago

Find the product of the complex numbers. Express your answer in trigonometric form.

Marianna [84]

In order to find the product of two complex numbers their magnitudes are multiplied and their arguments(measure of angles) are added up.

For z₁
Magnitude = 4
Argument = π/3

For z₂
Magnitude = 3
Argument = 2π/5

So, the product of z₁ and z₂ will be:

$z_{1} z_{2} =4*3(cos( \frac{ \pi }{3}+\frac{2 \pi }{5})+isin( \frac{ \pi }{3}+\frac{2 \pi }{5})) \\ \\ 
z_{1} z_{2} =12(cos( \frac{11 \pi }{5}+isin( \frac{11 \pi }{5}))$

6 0

3 years ago

At a certain time of day, a tree 15 m tall cast a shadow of 12 m, while a second tree cast a shadow of 20 m. How tall is the sec

lilavasa [31]

25 metres tall.

Explanation:

The heights of the trees are directly proportional to the length of their shadows because at the same time of day, the sun will be at the same angle in the sky.

The trees and their shadows form 2 similar triangles:
Write as a proportion:

heightshadow x20=1512

12x=20×15

x=20×1512

x=25 metres tall.

As check: find the constant for each tree:

1512=1.25 and 2520=1.25

i hope this help

8 0

4 years ago

How do you right 0.0001 in expanded form

kirza4 [7]

The expanded form of the number 0.0001 is $\bold{\frac{1}{10000}}$ .

SOLUTION: 

Given that, we have to write 0.0001 in expanded form.

Expanded form or expanded notation is a way of writing numbers to see the math value of individual digits. When numbers are separated into individual place values and decimal places they can also form a mathematical expression.

Now, take the given number 0.0001

As there are no other digits except 0 in front of 1 our work is simplified.

Expanded form will be $\frac{1}{10000}$