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1 year ago

Find the geometric mean between each pair of numbers.40 and 15

Mathematics

1 answer:

kirill [66]1 year ago

8 0

Given a N quantity of numbers, the Geometric Mean is equal to the N-th root of product of the N numbers

In this case, we have two numbers, then we need to multiply them and take square root:

$\sqrt{40\cdot15}=\sqrt[]{600}=\sqrt[]{100\cdot6}=\sqrt[]{100}\cdot\sqrt[]{6}=10\sqrt[]{6}$

The answer is:

10√6

Rounded is Approximately 24.5

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I’ll give you brainliest for the first person with an answer

raketka [301]

Answer:

1296mm^2

Step-by-step explanation:

Surface Area of the Rectangular Prism to the left on top of the box:

Area of square = lw, 9mm * 9mm = 81mm, then multiply by 2 because 2 of the squares are a part of the surface, giving 162mm^2

Area of a rectangle =lw, 9mm * 9mm = 81mm, then multiply by 2 again, because 2 rectangles are a part of the surface, giving 162mm^2

So, the total surface area of the rectangular prism to the left on top, is 324mm^2

Surface Area of the Triangular Prism:

Area of a triangle: 1/2bh, and our base length would be 12, because we have to subtract 9 from 21 since the base length of the triangle isn't stated. Anyways, A = 1/2bh, so A = 1/2(12)(9) = 54mm^2, but multiply by two, so we get 108mm^2.

Area of the rectangle: lw, so 15mm * 9mm = 135mm^2

So, the total surface area of the triangular prism is 243mm^2

Surface Area of the Rectangular Prism at the bottom:

Area of the long rectangles in front = lw, 21mm * 9mm = 189mm^2, multiply by 2, 378mm^2

Area of the rectangles to the side = lw, 9mm * 9mm = 81mm^2, multiply by 2, 162mm^2

Area of the rectangle at the very bottom = lw, 21mm * 9mm = 189mm^2

So, the total surface area of the rectangular prism at the bottom is 729mm^2

Add all the total surface areas of each shape to get the total surface area of the figure:

324mm^2 + 243mm^2 + 729mm^2 = 1296mm^2

The surface area of the figure above is 1296mm^2

4 0

2 years ago

Explain how you would graph the line containing a slope of –1/5 that goes through the point (1,–4).

Anettt [7]

Slope = -1/5
Coordinate = (1, -4)

We know, y - y1 = m(x - x1)
y + 4 = -1/5 (x - 1)
y + 4 = -1/5x + 1/5
y = -1/5x -19/5

When, x = 1, y = -1/5(1) - 19/5 = -20/5 = -4
x = 2, y = -1/5(2) - 19/5 = -21/5
x = 3, y = -1/5(3) - 19/5 = -22/5

Here, Your Coordinates would be: (0, -4), (1, -21/5), (2, -22/5)
Mark them & draw the lines. Graph is done!

Hope this helps!

5 0

3 years ago

Read 2 more answers

Find the equation of the line that contains the point (1, 1) and is perpendicular to the line y = -1/4x + 4. Write the equation

RUDIKE [14]

Okay I seriously don’t see a picture or anything but use Math-papa-algebra - calculator it helps sooooo much this is seriously not an add it shows graphs and other stuff

8 0

3 years ago

Help plz!! Show work , need help on this

lilavasa [31]

Answer:

Step-by-step explanation:

n = 3 => f(n) = -4*-3+8 = -44

n= 0 => f(n) = -4*0+8 = 8

n= 2 => f(n) = -4*2+8 = 0

n= 7 => f(n) = -4*7+8 = -20

5 0

3 years ago

How do you write -6 3/4 as a decimal and what is -6 3/4 as a decimal?

olga2289 [7]

6.75 because 6 is the whole number so it won't change and if you do 3 divided by 4 you get .75

7 0

3 years ago

Read 2 more answers