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katrin2010 [14]
2 years ago
8

What’s the formula for the geometric mean of three numbers?

Mathematics
2 answers:
SSSSS [86.1K]2 years ago
6 0

Answer:

Geometric mean is most commonly represented as:

\sqrt{abc}

katrin [286]2 years ago
4 0

Geometric mean formula is represented by \sqrt[n]{\sf  x_1   \cdot x_2 \cdot x_3  \cdot ... x_n} where n resembles term position and x₁, x₂, x₃ are numbers and they continue.

The formula for geometric mean of three numbers [n = 3]:

Solution: \sqrt[3]{\sf  x_1   \cdot x_2 \cdot x_3 }

Example's:

Geometric mean of 5 numbers [n = 5] : \sqrt[5]{\sf  x_1   \cdot x_2 \cdot x_3  \cdot x_4  \cdot x_5 }

Geometric mean of 2 numbers [n = 2] : \sqrt[2]{\sf  x_1   \cdot x_2 }

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If the perimeter of an equilateral triangle is 30cm, find its area. ​
lora16 [44]

Answer:

A ≈ 43.3 cm²

Step-by-step explanation:

the area (A) of an equilateral triangle is calculated as

A = \frac{s^2\sqrt{3} }{4} ( s is a side of the triangle )

given perimeter = 30 cm , then

s = 30 cm ÷ 3 = 10 cm

then

A = \frac{10^2\sqrt{3} }{4} = \frac{100\sqrt{3} }{4} = 25\sqrt{3} ≈ 43.3 cm² ( to the nearest tenth )

7 0
3 years ago
Which of the following expressions results in 0 when evaluated at x = 4?
Zarrin [17]
(x-10)(x-4) because 4-10=6 then multiply that by 0 from 4-4
8 0
4 years ago
a) Choose any two points. Consider their locations in the plane. How are they the same? How are they different? Write down at le
8_murik_8 [283]

Answer:

a) Points A and B are symmetrical over the x-axis. Points A and B are on the same location on the x-axis but opposite directions on the y-axis. Points A and B lie on the same vertical line.

b) A (4,3); B (4,-3); C (3,-5); D (-4,-3); E (-5,3)

1. A point with a positive x-coordinate is to the right of the y-axis. [A,B,C]

2. A point with a negative x-coordinate is to the left of the y-axis. [D,E]

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5 0
3 years ago
Consider this system of two linear equations.
katen-ka-za [31]

Answer:

Step-by-step explanation:

so these two lines cross at some point.. and they want to know the y point at which they cross... sooo..

solve them as a system to find the points that are common to both

Eq. 1)  5x -2y = 16

Eq. 2) -4x+6y=-15

i'll use the elimination method as these equations "lend" themselves to that way.. they are easy to solve that way .. in other words..

multiply Eq. 1 by 3  the add Eq. 2 .. to it... add the terms as columns....

    15x-6y = 48

<u> + ( -4x+6y=-15)</u>

=    11x+ 0y =33

x=3    

nice, now plug 3 in for x in one of the Eq.   try Eq. 1

5(3)-2y=16

15-2y=16

-2y =1

y = -\frac{1}{2}

since we're looking for the y coordinate...  that's your answer -\frac{1}{2}

4 0
3 years ago
4y - 9 - 6y = 2 (y + 5) -3<br> Help
BlackZzzverrR [31]

Answer:

y = −4

Step-by-step explanation:

7 0
3 years ago
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