Answer: Choice C) Star shaped symbol
We can rotate the star symbol 90 degrees to have it line up with its original image. The before and after images would be identical after doing such a rotation. So this figure has rotational symmetry.
The other figures would change if we rotated them some angle x such that
, so they do not have rotational symmetry.
Answer:
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Step-by-step explanation:
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Answer:
Everything except the finding the midpoint
Step-by-step explanation:
If the question states the points of a shape, you can find the perimeter and the area of the polygon because you would know the dimensions and the lengths of each side, but in the options, it says the area of a rectangle, and it doesn't have to be a rectangle
You can find the equation of the circle, by finding the diameter of the circle and the radius. With the diameter, you would be able to find the centre of the circle and then you need to divide the diameter by two to get the radius.
For the midpoint, you use the midpoint formula. You just need to sub in the points into the formula and you would get the midpoint
When you are given two points on a graph (or worded problem), and it says that for every x number of km it uses y amount of gas and the question asks to find how much gas is needed in between these two points, you can do this. Find the distance between the two points and then use algebra to work out the amount of gas required
<span>0.04 inches squared - because it's 0.2 inches squared.
<span><span><span><span>
This can also be written as 1/25 inches squared</span></span></span></span></span>
The size of the population increases when the growth rate is positive and
decreases for a negative growth rate.
The completed table is presented as follows;
![\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D2003%20%5C%20Population%20%28millions%29%26Projected%20%5C%202029%20%5C%20Population%20%5C%20%28millions%29%26Growth%20%5C%20rate%20%5C%20%20K%20%5C%5C40.5%2620.9%26-2.255%5C%25%5Cend%7Barray%7D%5Cright%5D)
Reasons:
The table is presented as follows;
![\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D2003%20%5C%20Population%20%28millions%29%26Projected%20%5C%202029%20%5C%20Population%20%5C%20%28millions%29%26Growth%20%5C%20rate%20%5C%20%20K%20%5C%5C40.5%2620.9%26%5Cend%7Barray%7D%5Cright%5D)
The population in growth rate is given by the following formula;
P = a·(1 + r)ˣ
Where;
a = The initial population in 2003 = 40.5 million
P = The population in 2029 = 20.9 million
x = The number of years = 2029 - 2003 = 26
Therefore;
20.9 = 40.5 × (1 + r)²⁹


The population growth rate is r ≈ -0.02255 = -2.255 %
The completed table is therefore;
![\begin{array}{|c|c|c|}2003 \ Population (millions)&Projected \ 2029 \ Population \ (millions)&Growth \ rate \ K \\40.5&20.9&-2.255\%\end{array}\right]](https://tex.z-dn.net/?f=%5Cbegin%7Barray%7D%7B%7Cc%7Cc%7Cc%7C%7D2003%20%5C%20Population%20%28millions%29%26Projected%20%5C%202029%20%5C%20Population%20%5C%20%28millions%29%26Growth%20%5C%20rate%20%5C%20%20K%20%5C%5C40.5%2620.9%26-2.255%5C%25%5Cend%7Barray%7D%5Cright%5D)
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