All categories

2 years ago

Using Geometric Mean, solve for x.

Mathematics

1 answer:

ehidna [41]2 years ago

3 0

Answer:

x = 6 units

Step-by-step explanation:

By geometric mean property:

$x = \sqrt{9 \times 4} \\ \\ x = \sqrt{36} \\ \\ x = 6 \: units$

You might be interested in

The sun shines at a 30° angle to the ground. To the nearest inch, how long is the shadow cast by a 72-in. tall fence post?

tensa zangetsu [6.8K]

The length of the shadow is 124.7 in

Explanation:

Given:

Angle, θ = 30°

Height of the fence, h = 72 in

Length of the shadow, l = ?

Given:

tan 30° = $\frac{perpendicular}{base} = \frac{height of the fence}{length of the shadow}$

$\frac{1}{\sqrt{3} } = \frac{72}{l} \\\\l = 72\sqrt{3} \\\\l = 124.7 in$

Therefore, the length of the shadow is 124.7 in

5 0

2 years ago

PLZ HELPPP

Anna [14]

Answer:

4ft

Step-by-step explanation:

500=pir^2h

r^2=500/(10*pi)

r=3.989ft

4 0

2 years ago

I need to convert x^2 +6x-16 to vertex form with steps listed please

Naddika [18.5K]

What steps are listed?

7 0

3 years ago

A company provides a monthly pension to its employees. A person retiring at 62 retires and receives a full monthly pension. If t

IRISSAK [1]

Answer:

The reduction is 8.6%

Explanation:

Call F the full monthly pension of a person retiring at 62.

If a person continues to work the pension grows at a rate of 6% per year, compounded monthly, so use the compounded growing formula:

$Pension=F(1+r/12)^{12t}$

Where r = 6 / 100 = 0.06, and t = number of years after retirement.

For retirement at 65.5:

t = 65.5 - 62 = 3.5

$Pension=F(1+0.06/12)^{12\times 3.5}=1.233F$

For retirement at 67:

t = 67 - 62 = 5

$Pension=F(1+0.06/12)^{12\times 5}=1.349F$

Percent reduction of people who retire at 65.5 compared to what they would receive at 67:

$(1.349F-1.233F)\times 100/(1.349F)=8.6\%$

8 0

3 years ago

If you put a sugar cube in hot tea does it dissolve or melt and why?

iren2701 [21]

The molecules in the sugar dissolved in water. it did not dissociate though, just dissolved. the atoms in each individual molecule stayed in tact, but the intermolecular forces broke apart.

3 0

3 years ago

Read 2 more answers