The correct answer is 38.48 cm squared
Answer:
105 degrees
Step-by-step explanation:
You first add 5 and 7 which gives you 12. Then, since two supplementary angles add up to 180, you divide 180 by 12 which gives you 15. Next, since 7 is the larger of the two, multiply 7 by 15 giving you 105. To check your work, subtract 105 from 180 giving you 75. Next, put this as a fraction- 75/105 and simplify giving you 5/7 which can also be written as 5:7.
You have:
![a_1=3.5,\\ \\a_2=13,\\ \\a_3=41.5,\\ \\a_4=127.](https://tex.z-dn.net/?f=a_1%3D3.5%2C%5C%5C%20%5C%5Ca_2%3D13%2C%5C%5C%20%5C%5Ca_3%3D41.5%2C%5C%5C%20%5C%5Ca_4%3D127.)
Find
![a_2-a_1=13-3.5=9.5,\\ \\a_3-a_2=127-41.5=28.5=9.5\cdot 3,\\ \\a_4-a_3=127-41.5=85.5=28.5\cdot 3=9.5\cdot 3^2.](https://tex.z-dn.net/?f=a_2-a_1%3D13-3.5%3D9.5%2C%5C%5C%20%5C%5Ca_3-a_2%3D127-41.5%3D28.5%3D9.5%5Ccdot%203%2C%5C%5C%20%5C%5Ca_4-a_3%3D127-41.5%3D85.5%3D28.5%5Ccdot%203%3D9.5%5Ccdot%203%5E2.)
This gives you the rule how to find next terms:
1.
![a_5-a_4=9.5\cdot 3^3,\\ \\a_5-127=256.5,\\ \\a_5=127+256.5=383.5.](https://tex.z-dn.net/?f=a_5-a_4%3D9.5%5Ccdot%203%5E3%2C%5C%5C%20%5C%5Ca_5-127%3D256.5%2C%5C%5C%20%5C%5Ca_5%3D127%2B256.5%3D383.5.)
2.
![a_6-a_5=9.5\cdot 3^4,\\ \\a_6-383.5=769.5,\\ \\a_6=383.5+769.5= 1153.](https://tex.z-dn.net/?f=a_6-a_5%3D9.5%5Ccdot%203%5E4%2C%5C%5C%20%5C%5Ca_6-383.5%3D769.5%2C%5C%5C%20%5C%5Ca_6%3D383.5%2B769.5%3D%201153.)
3.
![a_7-a_6=9.5\cdot 3^5,\\ \\a_7-1153=2308.5,\\ \\a_7=1153+2308.5=3461.5.](https://tex.z-dn.net/?f=a_7-a_6%3D9.5%5Ccdot%203%5E5%2C%5C%5C%20%5C%5Ca_7-1153%3D2308.5%2C%5C%5C%20%5C%5Ca_7%3D1153%2B2308.5%3D3461.5.)
Answer: next 3 terms are 383.5, 1153 and 3461.5.
Answer:
8cm
Step-by-step explanation:
1/2 × 18b = 72
9b = 72
b = 72/9
b = 8
The right triangle has an angle of 30°-60°-90°