All categories

3 years ago

Find two geometric means between 5 and 135

Mathematics

1 answer:

aniked [119]3 years ago

6 0

Answer:

We are effectively looking for a and b such that 5, a, b, 135 is a geometric sequence.

This sequence has common ratio 3√1355=3, hence a=15 and b=45

Explanation:

In a geometric sequence, each intermediate term is the geometric mean of the term before it and the term after it.

So we want to find a and b such that 5, a, b, 135 is a geometric sequence.

If the common ratio is r then:

a=5rb=ar=5r2135=br=5r3

Hence r3=1355=27, so r=3√27=3

Then a=5r=15 and b=ar=15⋅3=45

You might be interested in

Solve the system of equations. - 9x + 4y = 6 9x + 5y = -33

liubo4ka [24]

Let us solve this system of equations by using the elimination method. Adding the 2 equations, we get

9x + 5y - 9x + 4y = -33 + 6

9y = -27

y = -3

Substituting this value of y in the first equation, we get

-9x + 4(-3) = 6

-9x - 12 = 6

9x + 12 = -6

9x = -18

x = -2

Therefore, x = -2, and y = -3. Hope this helps! If you have any questions, feel free to ask.

7 0

3 years ago

A quote website includes a "Surprise me!" button that randomly selects a quote from its database. For every 4 quotes in the data

Damm [24]

Answer: 4 quotes

3.5 quotes

Step-by-step explanation:

Khan

8 0

2 years ago

Find the area of the shaded region .

Greeley [361]

Calculate area of the white region inside circle.

Area of the two white triangles in top left and bottom right:

$2 \cdot \frac{1}{2}(6)(6) = 36 ft^2$

Area of the two white quarter circles in the bottom left and top right:

$2 \cdot \frac{1}{4}\pi (6)^2 = 18\pi ft^2$

Total area of unshaded white region inside circle:

$(36 + 18\pi)ft^2$

Area of entire circle including the white and shaded regions

$\pi(6)^2 = 36\pi ft^2$

Area of shaded region is area of entire circle - area of unshaded white region

$36\pi - (36 + 18\pi) = (18\pi - 36) ft^2$

7 0

3 years ago

Plz help and get 10 points plz help me emergency

emmainna [20.7K]

I believe that 1 cup has 8 fluid ounces, and for 3 it is 24 fluid ounces, and for 5 it is 40 fl oz, for 7 it is 56 fl oz

For gallons the first one is 16, for 5 it is 20, for 6 it is 24, and for 7 it is 28.

For the gallon with pint measurement, the first one is 32 pt, the second one is 40, the third one is 48, and the fourth one is 56.

For quarts the first one is 2 pt, the second is 4 pt, the third one is 6 pt, and the fourth one is 8 pt.

6 0

3 years ago

What value of n makes this expression equal to 6? 3n - (2 + n)

SVEN [57.7K]

Answer:

Step-by-step explanation:

3n-2-n=6

2n-2=6

2n=8

n=4

5 0

3 years ago

Read 2 more answers