Decompose the rectangle along the diagonal and recompose the two pieces to make a different shape, then five different ways are shown.
<h3>Further explanation
</h3>
Area is the number of squares inside a two-dimensional shape.
Here are two important principles for finding area:
- If two figures can be placed one on top of the other, then they have the same area so that they match up exactly.
- We can decompose a figure (break a figure into pieces) and rearrange the pieces (move the pieces around) to find its area.
A rectangle has two diagonals. Each one is a line segment drawn between the opposite vertices (corners) of the rectangle. For rectangle, shapes can be decomposed and rearranged back to rectangles to find the area. When decomposing and rearranging shapes the area of the polygon does not change.
The rectangle is shown in the picture below. After decompose the rectangle along the diagonal, we can varied the pieces to make various different shape. Picture below also shown the five different ways pieces from the rectangle.
<h3>Learn more</h3>
- Learn more about rectangle brainly.com/question/2810576
- Learn more about Decomposing and Rearranging brainly.com/question/3026941
- Learn more about Area and Surface Area brainly.com/question/9265968
<h3>Answer details</h3>
Grade: 9
Subject: Mathematics
Chapter: Area and Surface Area
Keywords: Area, Surface Area, Decomposing, Rearranging, rectangle
Answer:
Vertex ( 5 ,8) .
Step-by-step explanation:
Given : f(x) = 2(x − 5)² + 8.
To find : Determine the vertex of the function .
Solution : We have given
f(x) = 2(x − 5)² + 8.
Vertex form of parabola : f (x) = a(x - h)² + k, where (h, k) is the vertex.
On comparing f(x) = 2(x − 5)² + 8. with vertex form of parabola.
a = 2 , h = 5 , k = 8 .
Vertex ( 5 ,8) .
Therefore, Vertex ( 5 ,8) .
Answer:
option B) Bar 2
Step-by-step explanation:
The histogram represent the number of gallons of gasoline on x axis.
The number of drivers purchase weekly on y axis.
In this histogram 5 Bars are shown.
First bar represents = 5 drivers
Second bar represents = 6 drivers
Third bar represents = 1 driver
Fourth bar represents = 3 drivers
Fifth bar represents = = 4 drivers
So the second bar represents the the number of gallons most drivers purchased during the week.
Therefore, option B) Bar 2 is the correct answer.
At sea level atmospheric pressure is 1 bar absolute (1 standard atmosphere =101 kPa=1.013 bars). The weight of the atmosphere exerts a pressure which will support a column of water 10 m high; 10 m under water the pressure on a diver is 200 kPa. The volume of gas in an early diving bell full of air at sea level is halved at 10 m according to Boyle’s law; at 20 m pressure is 300 kPa absolute and the gas is compressed into one third the volume.
Dry air is composed of roughly 21% oxygen, 78% nitrogen, and 1% other gases. According to Dalton’s law the partial pressure of oxygen at any depth will be 21% of the total pressure exerted by the air and the partial pressure of nitrogen will be 78% of total pressure.
Gases dissolve in the liquid with which they are in contact. Nitrogen is fat soluble and at sea level we have several litres dissolved in our bodies. If the partial pressure of nitrogen is doubled (by breathing air at 10 m depth) for long enough for equilibration to take place we will contain twice as many dissolved nitrogen molecules as at sea level.
Answer:
y=400/300x
Step-by-step explanation:
