Answer:
B=23.19
Step-by-step explanation:
First, find the last side of the triangle using the Pythagorean theorem.
![a^{2} +b^{2} =c^{2} \\21^{2} +9^{2} =c^{2} \\441+81=c^{2} \\\sqrt[3]{58}=c](https://tex.z-dn.net/?f=a%5E%7B2%7D%20%2Bb%5E%7B2%7D%20%3Dc%5E%7B2%7D%20%5C%5C21%5E%7B2%7D%20%2B9%5E%7B2%7D%20%3Dc%5E%7B2%7D%20%5C%5C441%2B81%3Dc%5E%7B2%7D%20%5C%5C%5Csqrt%5B3%5D%7B58%7D%3Dc)
Then, find the missing angle, lets name it B.
The angle B can be found using the inverse sine function.
B=arcsin(opp/hyp)
![B=arcsin(\frac{9}{\sqrt[3]{58} } )\\B=23.19](https://tex.z-dn.net/?f=B%3Darcsin%28%5Cfrac%7B9%7D%7B%5Csqrt%5B3%5D%7B58%7D%20%7D%20%29%5C%5CB%3D23.19)
The answer is 11 The answer is 11 The answer is 11
Answer:
8.80$
Step-by-step explanation:
Total 20.20. 6.06 x 2=12.12. 20.20-12.12=8.80$
Mathew paid 8.80$
Clarence paid 12.12$
Daniel paid 6.06$
Answer:
62.5%
Step-by-step explanation:
We can write a proportion. We know that $50 is the original value and $80 is the marked up price. We don't know the marked up percentage. Let's call it x. We write equal ratios of
comparing percent and
comparing the 50 to the marked up price. We then set them equal.

We then cross multiply across the equal sign from numerator to the opposite numerator.
80(x)=50(100)
80x=5000
We divide to find x.
x=62.5
This means the bicycles are marked up 62.5% and the original value is 37.5%.