The area of the polygon with the given vertices: (-3,3) (-3,-1) (4,-1) (4,3) is 28 square units
<h3>What is rectangle ?</h3>
A rectangle is a polygon with four sides. The opposite sides of a rectangle are equal while the angles at the vertex is orthogonal
<h3>How to solve for area of the rectangle</h3>
The following are the data given in the question
polygon with the given vertices' as:
(-3,3)
(-3,-1)
(4,-1)
(4,3)
plotting the given polygon shows it is a rectangle with sides
Length, L = 7 units
Width, w = 4 units
Area if a rectangle is given by
= L * w
= 7 * 4
= 28 square units
The area of the polygon is 28 square units
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Answer: Your answer would be A)
Step-by-step explanation: This is a simple problem but there are certainly ways in which it can be confusing specifically in the fact that this could potentially be either a reflection OR a translation if the angles were not marked as such. If it were a reflection N and N' would be located right across from each other over the Y axis but this is not the case. So the only thing we can assume is that it is translated instead. The triangles are also exactly the same size and proportion meaning they are congruent and not similar.
The answer is: D) 115
The explanation is shown below:
1. You have that the frequency with which a cricket chirps varies directly with the temperature, which you can express it as following:
![y=kx](https://tex.z-dn.net/?f=y%3Dkx)
Where
is the frequency with which a cricket chirps,
is the temperature and
is the constant of proportionality.
2. If the cricket chirps 100 times per minute in 80° weather, you can calculate
as below:
![k=\frac{100}{80}=1.25](https://tex.z-dn.net/?f=k%3D%5Cfrac%7B100%7D%7B80%7D%3D1.25)
3. Therefore, the frequency in 92° weather is:
![y=1.25x\\y=(1.25)(92)\\y=115](https://tex.z-dn.net/?f=y%3D1.25x%5C%5Cy%3D%281.25%29%2892%29%5C%5Cy%3D115)
Step-by-step explanation:
sin∅ = opposite / hypotenuse
Answer:
sin(K) = 48/50
sin(P) = 14/50
Answer:
39.34 juniors and 30.1 seniors