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)
Answer:
Step-by-step explanation:
<u>Given </u><u>:</u><u>-</u><u> </u>
- Mrs. Smith left a 15% tip for a dinner that cost $62.40.
<u>To </u><u>find</u><u> </u><u>:</u><u>-</u><u> </u>
- About how much tip did Mrs. Smith leave?
<u>Solution</u><u> </u><u>:</u><u>-</u><u> </u>
The tip is 15% of $62.40 .
<u>•</u><u> </u><u>Calculating</u><u> </u><u>1</u><u>5</u><u>%</u><u> </u><u>of </u><u>$</u><u>6</u><u>2</u><u>.</u><u>4</u><u>0</u><u> </u>
- $ 62.40 * 15%
- $ 62.40 * 15/100
- $ 9.36
18 is 60 percent of 30. 3 percent is 10 percent of 30 so 3 x 6 equals 18.
Answer:
-2
Step-by-step explanation:
add 3 to 11 and then divide 14 by -7