Answer:
The theater has 32 rows
Step-by-step explanation:
The rule of the sum of n terms of an arithmetic sequence is S
=
(a + l), where
- n is the number of the terms
∵ The number of seats per row follows an arithmetic sequence
∵ The first row has 26 seats
∴ a = 26
∵ The last row has 150 seats
∴ l = 150
∵ The theater seats are 2,816
∴ S
= 2,816
→ Substitute these values in the rule of the sum above to find n
∵ 2,816 =
(26 + 150)
∴ 2,816 =
(176)
∴ 2,816 = 88n
→ Divide both sides by 88
∴ 32 = n
∵ n represents the number of the rows
∴ The theater has 32 rows
<u>Given</u>:
A conveyor belt carries bales of hay from the ground to the loft of a barn 27 feet above ground.
The belt makes an 30° angle with the ground.
We need to determine the distance that the bale of hay travel on the conveyor belt.
<u>Distance that the bale of hay travel on the conveyor belt:</u>
The distance that the bale of hay travel on the conveyor belt can be determined using the trigonometric ratio.
Let the distance that the bale of hay travel on the conveyor belt be x.
Thus, we have;

Substituting
and 
Thus, we get;

Simplifying, we get;



Thus, the value of x is 54 feet.
Hence, the distance that the bale of hay travel on the conveyor belt is 54 feet.
$9, since 2/3 = $6 that must mean 1/3 = $3 so if one equals $3x3=$9
The answer is G hope i helped and god bless
There is 50mL of liquid altogether.
35mL is not chocolate.
35/50 is not chocolate.
35/50 = 70/100
70/100 = 70%
70% of the mixture is not chocolate.