All categories

1 year ago

What is the geometric mean of 4/5 and 45?

Mathematics

1 answer:

AfilCa [17]1 year ago

3 0

Answer:

Step-by-step explanation:

The geometric mean of 2 numbers a and b is $\sqrt{ab}$ , then

geometric mean = $\sqrt{\frac{4}{5}(45) }$ = $\sqrt{36}$ = 6

You might be interested in

The area of a rectangle is 35 ft squared , and the length of the rectangle is 3 ft more than twice the width. find the dimension

andrey2020 [161]

Are there any answer choices

7 0

3 years ago

1.404 divided by 0.45

Ipatiy [6.2K]

The answer to your questions is 3.12

7 0

3 years ago

The diagonal of a square is 60 in, as shown

andre [41]

Answer:

The length of side is 42.4 inches.

Step-by-step explanation:

Given that:

Diagonal of square = 60 inches

As all sides of a square are equal, thus

Side of square = x

The diagonal will be the hypotenuse of a right angled triangle.

Using Pythagorean theorem;

$x^2+x^2=(60)^2\\2x^2=3600\\x^2=\frac{3600}{2}\\x^2=1800$

Taking square root on both sides

$\sqrt{x^2}=\sqrt{1800}\\x=42.4$

Hence,

The length of side is 42.4 inches.

5 0

2 years ago

A pyramid has a square base with sides of length s. The height of the pyramid is equal to - of the length of a side on the base.

Vera_Pavlovna [14]

<h3><u>Question:</u></h3>

A pyramid has a square base with sides of length s. The height of the pyramid is equal to 1/2 of the length of a side on the base. Which formula represents the volume of the pyramid?

<h3><u>Answer:</u></h3>

<em><u>The formula represents the volume of the pyramid is:</u></em>

$V=\frac{1}{6}s^3$

<h3><u>Solution:</u></h3>

<em><u>The volume of square pyramid is given by formula:</u></em>

$V = \frac{1}{3} a^2h$

Where, "h" is the height of pyramid

"a" is the length of side of base

Here given that, pyramid has a square base with sides of length s

Therefore,

a = s

The height of the pyramid is equal to 1/2 of the length of a side on the base

$h = \frac{1}{2} \times s\\\\h = \frac{s}{2}$

<em><u>Thus the volume of pyramid becomes:</u></em>

$V = \frac{1}{3} \times s^2 \times \frac{s}{2}\\\\V = \frac{s^3}{6}$

$\boxed{V=\frac{1}{6}s^3}$

Thus the formula represents the volume of the pyramid is $\frac{s^3}{6}$

5 0

3 years ago

Hannah and andrea were selling tickets to the homecoming dance. they were set up in different

coldgirl [10]

The relationship between the number of tickets is that Hannah sold three times as many tickets as Andrea.

<h3>How to determine the relationship?</h3>

From the question, we have:

Andrea = h

Hannah = 3h

This means that:

Hannah = 3 * Andrea

So, the relationship is that Hannah sold three times as many tickets as Andrea.