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
Answer:
X = 5.9 (in degree mode)
Step-by-step explanation:
Do the following:
12(tan26) = X
Plugging this into a calculator, you will get:
X = 5.9 (in degree mode)
The smallest value it could be is 4 and the largest value it could be is 10.
The triangle inequality theorem states that any two sides of a triangle must have a sum greater than the third side. Given the two sides we have, 7 and 4, the sum would be 11; this would mean that the missing side could be no more than 10.
If we take the unknown side and the smallest one we're given, we would have the inequality
n+4>7
Subtracting 4 from both sides we would have n>3. That means it would have to be the next integer up, which would be 4.
Answer:
45.25
Step-by-step explanation:
32^2+32^2=2048 sqrt2048 is 45.25
The volume of the bag of nuts is the amount of nuts it can contain
The volume of the bag of nuts is 84.78 cubic inches
<h3>How to determine the volume of the bag?</h3>
From the figure, we have the following parameters:
- Radius, r = 3 in
- Height, h = 9 in
The volume of a cone is calculated using:
V = 1/3 πr^2h
Substitute the known values
V = 1/3 * 3.14 * 3^2 * 9
Evaluate the product
V = 84.78
Hence, the volume of the bag of nuts is 84.78 cubic inches
Read more about volumes at:
brainly.com/question/1972490
