Answer:
There are 20 ways the pizza can be ordered.
Step-by-step explanation:
Choices available in Sizes = 4
Choices available is toppings = 5
Since these choices are mutually exclusive,
So, by the PERMUTATION RULE
Number of ways a pizza can be ordered is : 4 x 5 = 20
So, there are 20 ways the pizza can be ordered.
<span><span><span><span>4<span><span>(<span>−2</span>)</span>2</span></span>+<span><span>(8)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span><span>=
<span><span><span><span><span>(4)</span><span>(4)</span></span>+<span><span>(8)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span></span><span>=
<span><span><span>16+<span><span>(8)</span><span>(<span>−2</span>)</span></span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span></span><span>=
<span><span><span>16+<span>−16</span></span>+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span></span><span>=<span><span>0+<span><span>(3)</span><span>(<span>−2</span>)</span></span></span>+6</span></span><span>=<span><span>0+<span>−6</span></span>+6</span></span><span>=
<span><span>−6</span>+6</span></span><span>=
<span>0</span></span>
XZ = 40
YZ = 32
By Pythagorean Theorem,
XY = 24
sin Z = opposite / hypotenuse
sin Z = XY / XZ
sin Z = 24/40
In lowest term,
Sin Z = 3/5 (Answer)
Answer: There are 14 long pieces she can cut.
Step-by-step explanation:
Since we have given that
Length of yards of ribbon is given by
![3\frac{5}{8}\ yards\\\\=\frac{29}{8}\ yards](https://tex.z-dn.net/?f=3%5Cfrac%7B5%7D%7B8%7D%5C%20yards%5C%5C%5C%5C%3D%5Cfrac%7B29%7D%7B8%7D%5C%20yards)
Length of yards of ribbon pieces need to be cut is given by
![\frac{1}{4}\ yards](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B4%7D%5C%20yards)
Number of yards is given by
![\frac{\frac{29}{8}}{\frac{1}{8}}\\\\=\frac{29}{2}\\\\=14.5\\\\=14](https://tex.z-dn.net/?f=%5Cfrac%7B%5Cfrac%7B29%7D%7B8%7D%7D%7B%5Cfrac%7B1%7D%7B8%7D%7D%5C%5C%5C%5C%3D%5Cfrac%7B29%7D%7B2%7D%5C%5C%5C%5C%3D14.5%5C%5C%5C%5C%3D14)
Hence, there are 14 long pieces she can cut.
$1.60.
You do 100 divided by 625 to get 16 cents. You then multiply .16 times 10 to get $1.60