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kipiarov [429]
3 years ago
14

Find the value of x in this proportion. (x+3) O 27/4 018 Ö9/8 © 9/2

Mathematics
1 answer:
ioda3 years ago
5 0
I don’t know the answer sorry
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Which figure will tessellate the plane? A. regular pentagon B. regular decagon C. regular octagon D. regular hexagon
Harrizon [31]
<h3>Answer: D. regular hexagon</h3>

A hexagon is composed of 6 congruent equilateral triangles. Each equilateral triangle has interior angle of 60 degrees. Adding 6 such angles together gets you to 360 degrees. So we've done one full rotation and covered every bit of the plane surrounding a given point. Extend this out and you'll be able to cover the plane. A similar situation happens with rectangles as well (think of a grid, or think of tiles on the wall or floor)

In contrast, a regular pentagon has interior angle 108 degrees. This is not a factor of 360, so there is no way to place regular pentagons to have them line up and not be a gap or overlap. This is why regular pentagons do not tessellate the plane. The same can be aside about decagons and octagons as well.

5 0
3 years ago
What measurements of a cone can be found if you know the volume and height? Explain how to apply the formula.
My name is Ann [436]
Sample Response: The base area , radius, and diameter can be determined when given the volume and height of a cone. Substitute the values for the corresponding variables into the formula, and then solve by simplifying and undoing operations to isolate the variable. To find the diameter, double the radius.
6 0
4 years ago
Read 2 more answers
The diameter of a circle is 20 ft. Find its area in terms of T.
Ksivusya [100]

Answer:

314.2ft^2

Step-by-step explanation:

Given data

Diameter= 20ft

Radius r= 20/2= 10ft

The expression for the area is

A= πr^2

A= 3.142*10^2

A= 3.142*100

A= 314.2ft^2

Hence the area is 314.2ft^2

5 0
3 years ago
Find the width w of a box with volume V = 120 cm3, l = 3 cm and h = 5 cm.
LenKa [72]

Answer:

8

Step-by-step explanation:

the volume of a box is L x W x H

so if you take the length x height, you can divide the volume by that to get your width.

hope this helps!! :)

8 0
3 years ago
Read 2 more answers
Find the area of the shaded figure below. Use 3.14 for pi. NO LINKS OR IMPROPER ANSWERS
Lapatulllka [165]

Answer:

The area of the shaded region is about 58.9 square inches.

Step-by-step explanation:

To solve this question, let's recall some facts.

We know that the area of a circle can be defined as the following:

A = \pi r^2

where r is the radius of the circle.

We too know that circles have a diameter and a radius. The diameter of a circle is the distance a line that connects two points on a circle with its center, and the radius is half of the diameter.

We also know that figures can touch each other, or be in tangent with each other. For the sake of simplicity, we're going to assume that the shaded circles are in tangent with each other, or touch each other. Because they touch each other, these three circles can share 5 in. of the 15 in. rectangle. This means that the circles are 5 in. in diameter, or 2.5 in in radius.

Now, we can solve the problem.

Because we have 3 circles, each with 2.5 in. radii, we can have the following expression which represents the total area of these circles:

3*\pi (2.5)^2

= 3*3.14(2.5)^2

= 3 *3.14 *6.25

= 58.875

After approximation, I can conclude that the area of the shaded region is 58.9 square inches.

6 0
2 years ago
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