Answer:
Step-by-step explanation:
The choices appear to have been written incorrectly. They should be
7(3)ⁿ⁻¹
3(7)ⁿ⁻¹
3(7)ⁿ⁺¹
common ratio r = a₂/a₁ = 7
nth term = a₁rⁿ⁻¹ = 3(7)ⁿ⁻¹
Answer:
Since we don’t know which side is which length, I’m going to tell you the two possible answers. The first possible answer is 2 * 6 = 8 and the second possible answer is 6 * 6 = 36
Answer:
x=74 degrees
Step-by-step explanation:
Make a right triangle with the angle x in the bottom left of it. You then know that one angle is 90 degree. To find the top angle, do 106-90 to find the top angle, sense the angle in the created triangle to the angle inside + the 90 degrees the long side of the triangle creates. Then you know that two angles are 90 and 16 degrees. Then 90 + 16 + x = 180. So 106 + x = 180. Then by subtracting 106, you find that x must equal 74. This is the angle x in the shape given.
X = premium seats
y = regular seats
You need two equations: (x + y - 10 = 1200) and (30x + 20y = 30,180)
1.) Isolate one variable
y = 1,210 - x
2.) Plug the new equation into the second ORIGINAL equation
30x +20(1,210 - x) = 30,180
3.) Ditribute
30x + 24,200 - 20x = 30,180
4.) Add like terms
10x + 24,200 = 30,180
5.) Subtract 24,000 from either side
10x = 6,180
6.) Solve for x
x = 618
7.) Plug in x to the equation of your choosing
618 + y - 10 = 1200
8.) Solve for y
608 + y = 1,200
y = 592
The theater sold 592 regular seats and 618 premium seats.
Answer:
2232.48 meters
Step-by-step explanation:
From the diagram:
Radius of semicircle = 74
Length of straightway on each side = 1000
The length of school track:
Straightway on each side = 2 * 1000 m = 2000m
Length of semicircle = πr/2
Length of both semicircle = 2 * 3.142 * 74 /2 = 232.47785
Total Length = ( 2000 + 232.47785) = 2232.48 meters
Hope this helps!
