Answer:
x=60
Step-by-step explanation:
I am going to try to explain this to the best of my abilities, but if you dont understand please let me know and I'll clarify. There is a straight ine tha that equals 180, so you do 180-120=60
Answer:
Use the equation h(t)=-b/2a to find the x value of the vertex, then plug that back into the equation to find the y value which is your height.
Step-by-step explanation:
You can also complete the square to get the equation into vertex form, then your height is the y value of your vertex. Remember the maximum height is always at the vertex of an inverted parabola.
Answer and Step-by-step explanation:
Charlotte reads 4 books each week
b = number of books she reads each week
w = number of weeks that she reads
The number of books depends on the number of weeks, so
independent variable: w
dependent variable: b
b = 4w
╔═══╦═════════╦════╗
║ w ║ b = 4w ║ b ║
╠═══╬═════════╬════╣
║ 0 ║ b = 4*0 ║ 0 ║
╠═══╬═════════╬════╣
║ 1 ║ b = 4*1 ║ 4 ║
╠═══╬═════════╬════╣
║ 2 ║ b = 4*2 ║ 8 ║
╠═══╬═════════╬════╣
║ 3 ║ b = 4*3 ║ 12 ║
╠═══╬═════════╬════╣
║ 4 ║ b = 4*4 ║ 16 ║
╠═══╬═════════╬════╣
║ 5 ║ b = 4*5 ║ 20 ║
╚═══╩═════════╩════╝
We know the opposite side (10) and the adjacent side (7), so we can use tangent to find angle B. Since tan = opposite side/adjacent side, we can set up this equation: tan(B) = 10/7. We can get B on its own by making the equation this:
Now, we plug this into our calculator to get:
B = 55°, so angle B is 55°.
Let me know if you need any more help!
Answer:
78
Step-by-step explanation:
for the right side we can just do 14*2 since there are two people per seat and 14 rows
14 *2 is 28
for the left side we just do 14*3 since there are three people per seat and 14 rows
14*3 is 42
Then we have to add the 8 students that can fit in the very back seat
42 + 28 + 8
28 + 8 is 36
42 + 36 = 78
