All categories

2 years ago

Find geometric mean between 3 and 6

2 answers:

4 0

Call the geometric mean ' G '.

Then (3 / G) = (G / 6)

This is a proportion, and may be "cross-multiplied":

G² = 18

G = √18 = about 4.2426... (rounded)

zalisa [80]2 years ago

3 0

$geometric\ mean\ between \ a\ and\ b\ = \sqrt{a\cdot b} \\----------------------\\\\geometric\ mean= \sqrt{3\cdot6} = \sqrt{3\cdot3\cdot2} =3\cdot \sqrt{2}$

You might be interested in

Use the quadratic formula to solve the equation x^2-7x-6=0

olganol [36]

Answer:

$\frac{7\pm\sqrt{73}} {2}$

Explanation:

We have been given with the quadratic equation $x^2-7x-6=0$

We have general formula to find the roots of a quadratic equation first we find the discriminant with formula

$D=b^{2}-4ac$

and after that to find the variable suppose x we have the formula

$x=\frac{-b\pm\sqrt{D}} {2a}$

And general quadratic equation is

$ax^2+bx+c=0$

On comparing the given quadratic equation with genral quadratic equation we will have values

a=1, b=-7 and c=-6

After substituting these values in the formula we will get

$D=(-7)^2-4(1)(-6)={73}$

After substituting in the formula to find x we will get

$\frac{-(-7)\pm\sqrt{73}} {2}= \frac{7\pm\sqrt{73}} {2}$

4 0

3 years ago

Read 2 more answers

PLEASE HELP ASAP!!!

xeze [42]

Answer:

JM = 10

Step-by-step explanation:

Because MN║JL,

$\frac{MK}{JM} = \frac{KN}{NL}$

$\frac{5}{2x + 4} = \frac{6}{12}$ = $\frac{1}{2}$

2(5) = 1(2x + 4)

10 = 2x + 4

2x = 6

x = 3

JM = 2x + 4 = 2(3) + 4 = 6 + 4 = 10

6 0

2 years ago

A pentagon can be divided into five congruent triangles. The function t=5 tan theta models the height of each triangle. What is

pentagon [3]

We assume that the dimension 5 has units of feet.

The area of each triangle will be
A = (1/2)bh
where b=2×(5 ft), h=(5 ft)tan(54°)
Then
A = (1/2)(2×5 ft)(5 ft)(tan(54°)
A = 25×tan(54°) ft²

There are 5 such triangles making up this pentagon, so the total area is
total area = 5×25×tan(54°) ft² ≈ 172 ft²

6 0

2 years ago

Scott took out a 4-year car loan for $5,500. He paid back a total of $7,370. What interest rate did he pay for this loan?

elena-14-01-66 [18.8K]

Amount of car loan taken by Scott = $5500
Amount of loan paid back by Scott = $7370
Then
Amount of money paid as interest by Scott = (7370 - 5500) dollars
   = 1870 dollars
Then
Percentage of interest given for the car loan = (1870/5500) * 100
   = 1870/55
   = 34 percent
So Scott had to pay a total interest rate of 34% in the four years.I hope the procedure is simple enough for you to understand and solve future problems.

7 0

2 years ago

Answer both please, the topic is linear inequalities, and please explain it to me.

Bogdan [553]

Question 1 solution:
You have two unknowns here:

Let the Water current speed = W

Let Rita's average speed = R

We are given two situations, where we can form two equations, and therefore solve for the two unknowns, W, R:

Part 1) W→ , R←(against current, upstream)
If Rita is paddling at 2mi/hr against the current, this means that the current is trying to slow her down. If you look at the direction of the water, it is "opposing" Rita, it is "opposite", therefore, our equation must have a negative sign for water:

R–W=2 - equation 1

Part 2) W→ , R→(with current)
Therefore, R+W=3 - equation 2

From equation 1, W=R-2,
Substitute into equation 2.
R+(R–2)=3
2R=5
R=5/2mi/hr

So when W=0 (still), R=5/2mi/hr

Finding the water speed using the same rearranging and substituting process:

1... R=2+W
2... (2+W)+W=3
2W=1
W=1/2mi/hr

7 0

2 years ago