Answer:
W (3 , 4) or W (3 . -4)
Step-by-step explanation:
W (3 , y), origin (0 ,0)
WO = √(3-0)²+(y-0)² = √9+y²
WO = 5
√9+y² = 5
9+y² = 25
y² = 16
y = ± 4
W (3 , 4) or W (3 . -4)
Answer:
m∠C = 107°
Step-by-step explanation:
there are 4 sides so we first need to find the total interior angle:
m∠C = 360° - 90° - 90° - 73°
= 107°
<h3>
Answer: 5 cakes</h3>
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Explanation:
Let's start off converting the mixed number 12 & 1/4 to an improper fraction.
![a \frac{b}{c} = \frac{a*c+b}{c}\\\\12 \frac{1}{4} = \frac{12*4+1}{4}\\\\12 \frac{1}{4} = \frac{49}{4}\\\\](https://tex.z-dn.net/?f=a%20%5Cfrac%7Bb%7D%7Bc%7D%20%3D%20%5Cfrac%7Ba%2Ac%2Bb%7D%7Bc%7D%5C%5C%5C%5C12%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B12%2A4%2B1%7D%7B4%7D%5C%5C%5C%5C12%20%5Cfrac%7B1%7D%7B4%7D%20%3D%20%5Cfrac%7B49%7D%7B4%7D%5C%5C%5C%5C)
Do the same for the other mixed number 2 & 1/3.
![a \frac{b}{c} = \frac{a*c+b}{c}\\\\2 \frac{1}{3} = \frac{2*3+1}{3}\\\\2 \frac{1}{3} = \frac{7}{3}\\\\](https://tex.z-dn.net/?f=a%20%5Cfrac%7Bb%7D%7Bc%7D%20%3D%20%5Cfrac%7Ba%2Ac%2Bb%7D%7Bc%7D%5C%5C%5C%5C2%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B2%2A3%2B1%7D%7B3%7D%5C%5C%5C%5C2%20%5Cfrac%7B1%7D%7B3%7D%20%3D%20%5Cfrac%7B7%7D%7B3%7D%5C%5C%5C%5C)
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From here, we divide the two fractions. I converted them to improper fractions to make the division process easier.
![\frac{49}{4} \div \frac{7}{3} = \frac{49}{4} \times \frac{3}{7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{49\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 7\times 3}{4\times 7}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{7\times 3}{4}\\\\\frac{49}{4} \div \frac{7}{3} = \frac{21}{4}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B49%7D%7B4%7D%20%5Cdiv%20%5Cfrac%7B7%7D%7B3%7D%20%3D%20%5Cfrac%7B49%7D%7B4%7D%20%5Ctimes%20%5Cfrac%7B3%7D%7B7%7D%5C%5C%5C%5C%5Cfrac%7B49%7D%7B4%7D%20%5Cdiv%20%5Cfrac%7B7%7D%7B3%7D%20%3D%20%5Cfrac%7B49%5Ctimes%203%7D%7B4%5Ctimes%207%7D%5C%5C%5C%5C%5Cfrac%7B49%7D%7B4%7D%20%5Cdiv%20%5Cfrac%7B7%7D%7B3%7D%20%3D%20%5Cfrac%7B7%5Ctimes%207%5Ctimes%203%7D%7B4%5Ctimes%207%7D%5C%5C%5C%5C%5Cfrac%7B49%7D%7B4%7D%20%5Cdiv%20%5Cfrac%7B7%7D%7B3%7D%20%3D%20%5Cfrac%7B7%5Ctimes%203%7D%7B4%7D%5C%5C%5C%5C%5Cfrac%7B49%7D%7B4%7D%20%5Cdiv%20%5Cfrac%7B7%7D%7B3%7D%20%3D%20%5Cfrac%7B21%7D%7B4%7D%5C%5C%5C%5C)
The last step is to convert that result to a mixed number.
![\frac{21}{4} = \frac{4*5+1}{4}\\\\\frac{21}{4} = \frac{4*5}{4}+\frac{1}{4}\\\\\frac{21}{4} = 4+\frac{1}{4}\\\\\frac{21}{4} = 5 \frac{1}{4}\\\\](https://tex.z-dn.net/?f=%5Cfrac%7B21%7D%7B4%7D%20%3D%20%5Cfrac%7B4%2A5%2B1%7D%7B4%7D%5C%5C%5C%5C%5Cfrac%7B21%7D%7B4%7D%20%3D%20%5Cfrac%7B4%2A5%7D%7B4%7D%2B%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%5Cfrac%7B21%7D%7B4%7D%20%3D%204%2B%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C%5Cfrac%7B21%7D%7B4%7D%20%3D%205%20%5Cfrac%7B1%7D%7B4%7D%5C%5C%5C%5C)
Note that 21/4 = 5.25 and 1/4 = 0.25 to help check the answer.
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Therefore, she can make 5 cakes. The fractional portion 1/4 is ignored since we're only considering whole cakes rather than partial ones.