Answer:
she has 4 quarters because 4 quarters equals $1 and she has 12 nickles because 12 × 5 =60
Answer:
![\boxed{(-\frac{\sqrt{3}}{2}, \frac{1}{2})}](https://tex.z-dn.net/?f=%5Cboxed%7B%28-%5Cfrac%7B%5Csqrt%7B3%7D%7D%7B2%7D%2C%20%5Cfrac%7B1%7D%7B2%7D%29%7D)
Step-by-step explanation:
Method 1: Using a calculator <em>instead</em> of the unit circle
The unit circle gives coordinates pairs for the <em>cos</em> and <em>sin</em> values at a certain angle. Therefore, if an angle is given, use a calculator to evaluate the functions at cos(angle) and sin(angle).
Method 2: Using the unit circle
Use the unit circle to locate the angle measure of 150° (or 5π/6 radians) and use the coordinate pair listed by the value (see attachment).
This coordinate pair is (-√3/2, 1/2).
<span>X-Y=4,
X+Y=2
-------------add
2x = 6
x = 3
X - Y =4
3 - Y = 4
Y = 3 - 4
Y = -1
solution (3 , -1)</span>
Given:
A right rectangular prism is packed with cubes of side length
inch.
Prism is packed with 15 cubes along the length, 6 cubes along the width, and 5 cubes along the height.
To find:
The volume of the prism
Solution:
Side length of each cube
inch.
15 cubes along the length, so length of prism is
![l=15\times \dfrac{1}{5}=3\text{ inches}](https://tex.z-dn.net/?f=l%3D15%5Ctimes%20%5Cdfrac%7B1%7D%7B5%7D%3D3%5Ctext%7B%20inches%7D)
6 cubes along the width, so width of prism is
![b=6\times \dfrac{1}{5}=\dfrac{6}{5}\text{ inches}](https://tex.z-dn.net/?f=b%3D6%5Ctimes%20%5Cdfrac%7B1%7D%7B5%7D%3D%5Cdfrac%7B6%7D%7B5%7D%5Ctext%7B%20inches%7D)
5 cubes along the height, so height of prism is
![h=5\times \dfrac{1}{5}=1\text{ inch}](https://tex.z-dn.net/?f=h%3D5%5Ctimes%20%5Cdfrac%7B1%7D%7B5%7D%3D1%5Ctext%7B%20inch%7D)
Now,
Volume of rectangular prism is
![V=l\times b\times h](https://tex.z-dn.net/?f=V%3Dl%5Ctimes%20b%5Ctimes%20h)
![V=3\times \dfrac{6}{5}\times 1](https://tex.z-dn.net/?f=V%3D3%5Ctimes%20%5Cdfrac%7B6%7D%7B5%7D%5Ctimes%201)
![V=\dfrac{18}{5}](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B18%7D%7B5%7D)
![V=\dfrac{3\times 5+3}{5}](https://tex.z-dn.net/?f=V%3D%5Cdfrac%7B3%5Ctimes%205%2B3%7D%7B5%7D)
![V=3\dfrac{3}{5}\text{ cubic inches}](https://tex.z-dn.net/?f=V%3D3%5Cdfrac%7B3%7D%7B5%7D%5Ctext%7B%20cubic%20inches%7D)
Therefore, the correct option is B.
In this case, the vector is passing through a right angle as shown with the little square on the left side. (all right angles equal 90 degrees) so you would simply subtract 64 from 90. (90 - 64 = 26) so x equals 26 degrees.