The team's point total after 10 games was 10*35 = 350.
The team's point total after 11 games was 11*33 = 363.
The team scored 13 points in game 11.
Answer:
254.47 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Step-by-step explanation:
First you have to know the formula for the area of a circle which is:
<h2>
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
</h2>
In the word problem it gives us the radius of a pancake which is 9 cm, so we just need to plug it into<em> r </em>in our formula:
<h2>
![A=\pi r^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20r%5E2)
</h2><h2>
![A=\pi (9)^2](https://tex.z-dn.net/?f=A%3D%5Cpi%20%289%29%5E2)
</h2>
≈ 254.47 ![cm^2](https://tex.z-dn.net/?f=cm%5E2)
Answer:
The sine of the acute angle is ![0.95](https://tex.z-dn.net/?f=0.95)
Step-by-step explanation:
using a graphing tool
see the attached figure
Let
A-----> the acute angle formed by the given line and the positive x-axis
In the right triangle XYZ
we know that
![sin(A)=\frac{xy}{xz}](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7Bxy%7D%7Bxz%7D)
we have
![xy=3\ units](https://tex.z-dn.net/?f=xy%3D3%5C%20units)
![yz=1\ units](https://tex.z-dn.net/?f=yz%3D1%5C%20units)
Applying the Pythagoras Theorem find the value of xz
![xz^{2}=3^{2}+1^{2}\\ \\xz^{2}=10\\ \\xz=\sqrt{10}\ units](https://tex.z-dn.net/?f=xz%5E%7B2%7D%3D3%5E%7B2%7D%2B1%5E%7B2%7D%5C%5C%20%5C%5Cxz%5E%7B2%7D%3D10%5C%5C%20%5C%5Cxz%3D%5Csqrt%7B10%7D%5C%20units)
substitute
![sin(A)=\frac{3}{\sqrt{10}}=0.95](https://tex.z-dn.net/?f=sin%28A%29%3D%5Cfrac%7B3%7D%7B%5Csqrt%7B10%7D%7D%3D0.95)
A rectangle does have a width