![arc \ length \ of \ BD = \pi r ( \frac{\angle BPD}{180} ) \\ \\ \angle BPD=\angle APC=92^o \ \ \text{[vertical angle]} \\ \\ arcBD= \pi *8 *\frac{92}{180} \approx 4.09 \pi \ in \approx12.85 in ](https://tex.z-dn.net/?f=arc%20%5C%20length%20%5C%20of%20%5C%20BD%20%3D%20%5Cpi%20r%20%28%20%5Cfrac%7B%5Cangle%20BPD%7D%7B180%7D%20%29%20%20%5C%5C%20%20%5C%5C%20%5Cangle%20BPD%3D%5Cangle%20APC%3D92%5Eo%20%5C%20%5C%20%5Ctext%7B%5Bvertical%20angle%5D%7D%20%5C%5C%20%20%5C%5C%20arcBD%3D%20%5Cpi%20%2A8%20%2A%5Cfrac%7B92%7D%7B180%7D%20%20%5Capprox%204.09%20%5Cpi%20%20%5C%20in%20%5Capprox12.85%20in%0A)
Answer: ≈4.09π in. ≈12.85 in.
Let x be the measure of both legs since the given is an isosceles right triangle. By the Pythagorean theorem we calculate for the legs,
x² + x² = (5 sqrt 6)²
The value of x from the given equation is approximately 8.66 units.
This question is simple I'm a little confused on the specifics so I will try my best to help.
s=θ(r)
arc length = angle x radius
2.46888m(or 8.1 ft) = (π/3) x r
Answer:
- Next two terms of the sequence is 20 and 24.
Step-by-step explanation:
The arithmetic sequence is 6, 10, 14 , 16
First term (a) = 6
Subtract the first term from the second term:
Subtract the second term form the third term:
Subtract the third term from the Fourth term:
Here, You will notice that each time you move from one number to the next one it increases by four. So, the difference between one and the next term is four.
So,
Next two terms are:
⟶ 16 + 4 = 20
⟶ 20 + 4 = 24
Hence,
- <u>Next two terms of the sequence is 20 and 24.</u>
So, in this problem you already have the equations set up for how much money each one works. You have Jim, earning a starting amount of $35, plus an additional $3 for every hour he works. You also have John, who gets $8.
The variable in the equations is h, which stands for hours. From there, you can put the three different h values (6, 7, and 8) into the equations to see who gets more money.
For instance, for Day 1, Jim gets 35+3x6 dollars, or 35+18=$53, while John gets 8x6 dollars, or $48. You can substitute in 7 and 8 and do the same process to get the answers for Day 1 and 2.
Hope this helps!
